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COMMON PART


Project Number18-19-00160

Project titleDevelopment of fundamental basis for computational and experimental hydrogen diagnosis of degradation of structural materials in aggressive corrosive environments

Project LeadPolyanskiy Vladimir

AffiliationInstitute of Problems of Mechanical Engineering Russian Academy of Sciences,

Implementation period 2018 - 2020  extension for 2021 - 2022

PROJECT EXTENSION CARD

Research area 09 - ENGINEERING SCIENCES, 09-101 - Durability, viability, and disintegration of materials and structures

KeywordsMechanochemistry, hydrogen diffusion, hydrogen embrittlement, aggressive environment, chemical potential, predicting operation period, technical diagnostics, host medium


 

PROJECT CONTENT


Annotation
Increasing the strength and corrosion resistance of metals and alloys is one of the main directions of development of modern technologies. This approach allows the society not only save resources but also design fundamentally new structures with unique characteristics. Increasing strength along with nanostructuring leads to a number of problems. One of these problems is to increase of sensitivity of the mechanical characteristics to low hydrogen concentrations. An additional challenge is the use of metal structures, parts and units operating in extreme conditions, for example, in polar regions, in modern high-performance gas turbine engines with high temperature cycle, hydrogen, nuclear and thermonuclear energy. On the one hand, the hydrogen increases cold-cracking and brittleness of metals, on the other hand the hydrogen is, in fact, one of the major components of the "working body" or aggressive external environment. For this reason it is to consider its impact on all phases of the design and operation of machine structures and mechanisms. The methods and approaches to study of the hydrogen problems which are already developed in the science do not allow us to meet these challenges. The effects of hydrogen degradation have already been studied in detail. However for the safe operation of structures, machines and mechanisms in the aggressive environment it is important to estimate the time of hydrogen degradation, how it is affected by external forces and how it can be diagnosed and avoided. The modern science demonstrates contradictions and gaps on the fundamental level in three main areas of accounting the influence of hydrogen: the penetration from the aggressive environment, transport and accumulation within the metal, and the influence of the accumulated hydrogen on mechanical properties. For example, the hydrogen diffusion constant in the reference books are specified to within an order of magnitude. The identical experiments with a sample cut from a single rod with generally accepted methods for determining the energy of the hydrogen connection show multiple discrepancies in the results. The processes of sorption and desorption of hydrogen at the sample surface are examined for a subtle physical level however there are no methods of modeling and calculating the hydrogen seepage from the external environment complicated by the applied thermo-mechanical loads. Some known empirical relationships do not permit the construction of a common framework for modeling and calculation. This leads to that, e.g., the prediction of fatigue strength of the walls of marine pipelines or titanium parts of nuclear reactor is performed on the basis of lengthy and expensive testing of a particular sort of alloy. There are numerous contradictions in the known models describing the influence of the accumulated concentration of hydrogen on the mechanical properties of materials. Any evolutional approach accounting for the course of process has methodological bases neither in the measurement technology nor in the process of control of hydrogen concentration. The current level of the labor division does not allow one to control the hydrogen concentration within an enterprise whereas the input and monitoring technologies have not yet worked out. The proposed project aims to develop a fundamental scientific basis for solving all these above problems. The methodological basis of the project is a new evolutionary approach that bridges a gap to the modern "process" approach in production processes. The project aims at the experimental and theoretical study of the evolutionary dynamics of the interaction of hydrogen with a solid body. The mutual interaction of seepage, transport and accumulation of hydrogen in metals will be studied, and their influence on the mechanical characteristics of the host metal with hydrogen under the action of thermo-mechanical loads will be investigated. The project is planned to make use of a variety of approaches: Models of multi-continua bodies for account for the multi-scale interaction of hydrogen with a metal with different structure (up to nanoscale); Models of the moment media which allows one to describe and explore the surface effects in terms of continuum mechanics, including the thermomechanical loading; Different models of the hydrogen transport, multi-channel diffusion, mechano-chemical model. The experimental research methodology are planned to be built on the basis of industrial equipment and industrial standards for testing metals in corrosive environments, the measurement of hydrogen content, mechanical testing and measurement of mechanical properties, so that the project results can be quickly implemented. Almost all of the approaches proposed by the authors are original and developed by the authors and have already been tested for solution another problems, in particular in the industry.

Expected results
The research is planned to be performed in four main areas: 1. Theoretical research and development of new models describing the influence of hydrogen on the structure and strength of materials, the seepage of hydrogen from the external environment into the material and the mechanochemical reaction of hydrogen with the host material; 2. The experimental research of hydrogen seepage and transport of hydrogen from the aggressive external environment, changes associated with the mechanochemical hydrogen interaction with the host material; 3. Experimental study of basic indicators: changes in the structure of the host material, changes in the hydrogen binding energy, micro-hardness changes and the distribution of these changes in the metal volume that will allow experimental diagnosis of the critical levels of these parameters and prediction of the service life of the structure; 4. The development of methods and approaches to modeling and predicting the long-term strength of materials based on the hydrogen-induced cracking. The spheres of applications of such studies are extensive and extremely important in terms of ensuring safe operation of machines and structures. The main examples are strategically important facilities, such as nuclear and fusion reactors and their service system, equipment for oil and gas industry, equipment for the polar regions including gas and oil pipelines, for transportation of hazardous materials unit, deep underwater equipment, general transportation facilities etc. Expected results are indicated below: Foundations for different types of control of degree of the hydrogen degradation and hydrogen-induced cold-brittleness of metals working in hostile environments under constant and cyclic loads with different mechanisms of accumulation and redistribution (seepage and transport) inside the material from the external environment will be developed. Of particular importance is the process control and technical diagnostics of nanomaterials which are typically capable of holding a significant concentration of hydrogen without destroying. This may lead to their evolution into general materials by recrystallization with a loss of extreme mechanical characteristics and catastrophic destruction of nanostructured components and units of machines and structures. Thermodynamically substantiated models for the coupled effects of hydrogen diffusion and chemical reactions in materials under thermomechanical loads and the impact of these transformations on the deformation and strength properties of structural elements will be worked out. Methods for engineering calculation of stress-strain state with account for new models of continuous media and multichannel diffusion of hydrogen will be elaborated. In contrast to the standard approach which takes into account the effect of hydrogen on the stress-strain state in quasistatic formulation, the proposed method will take into account the rate and nature of the accumulation and redistribution of hydrogen from the external aggressive media. New experimental approaches to develop the application of technical diagnostics methods of hydrogen embrittlement, cold brittleness of metal components and structural components will be developed. During the project realization we intend to conduct the research using the standard industrial equipment for technical inspection which will enable the project to directly apply the results into engineering practice. The fundamental theoretical and experimental basis for development of the applied methods of calculating the residual life on the basis of data of the spatial and energy distribution of hydrogen and the local hardness for components of structures and machine parts made of high-strength steels, aluminum and titanium alloys which are widely used in contact with aggressive media in the critical sectors of the economy will be created. The proposed formulation and approach to solving problems as well as the expected results are new and advanced. The theoretical level of expected results is comparable with the world level or ahead of the similar foreign studies. The scientific importance of the project is determined by the fact that until now there does not exist a general way of modelling the diffusion and accumulation of hydrogen in metals in the framework of the same approach. The phenomena of fatigue in the presence of hydrogen and hydrogen-induced retarded fracture do not have a theoretical description. In practice, the engineers use the safety factors depending on the risk to calculate the strength since in the case of hydrogen-induced fracture the 100% guarantee of strength to date cannot be given, even for a very limited lifetime. Description of the mechanisms of transport and redistribution of hydrogen from a unified standpoint is also important for the nuclear, fusion energy and nuclear power plants. The hydrogen generated during the operation of these objects is involved not only in the evolution of materials’ structure and the phenomenon of swelling of the radiation but it also contributes to seeps of radioactive isotopes of hydrogen into the environment which is critical for safety of these objects. The expected scientific results are new and unique as they allow one to solve the fundamental problem of connecting the seepage and diffusion (transport) of hydrogen with the structure and material damage taking into account the different types of thermo-mechanical loads in corrosive environments. This task has not yet been stated as the known physical and mechanical models of hydrogen models of the hydrogen influence on the structure and properties of the material are of the quasi-stationary character. The functional dependences of the mechanical characteristics on the hydrogen concentrations are nonlinear and it makes them difficult to use in real-world problems where the loads are time-dependent and the seepage rate can change together with changes of the structure of the metal under the action of external mechanical loads. The international division of labor does not allow controlling the production of metals and alloys by means of administrative methods. In this connection, the technologies for the entrance control of metal products are important for the entire industry. Modern technical control of hydrogen concentration ends at the stage of ingots and semi-finished products. Development of methods for detecting violations of production engineering based on hydrogen diagnostics of finished products, rolled products, forgings is important for the safe operation of industry, transport and energy. The all further coupled conversion of hydrogen and the material structure that occur in manufacturing of components and units of machines, mechanisms and structures is hardly studied. Only the hydrogen concentrations corresponding to well-developed hydrogen embrittlement are determined however it is too late to assess residual life and the catastrophic structural failure can occur at any time. The results obtained in the frame of the project will help to develop the methods of preventive diagnosis which will increase the safety of industrial structures operating in agressive environment. All results declared in the project have practical applications. Their use will help to prevent accidents and technical incidents in various industries, nuclear energy, aviation and rail transport. For example, the destruction of fragile and shock-absorbing springs parts of bogies lead to several dozen accidents each year, hydrogen induced breakdowns of babbitt under load in sliding bearings lead to the need for an emergency shutdown of power aggregates, hydrogen induced vacuum deterioration in sensors disrupt the normal operation of control systems. The results of the project are at the junction of continuum mechanics, mechanochemistry and condensed matter physics. Thus, the project should be understood as an interdisciplinary research at the interface of science.


 

REPORTS


Annotation of the results obtained in 2020
The main purpose of the research in 2020 was the theoretical and experimental investigation of the phenomenon of skin effect due to distribution and transport of hydrogen during the interaction of metal with corrosive environment. The skin effect was discovered at the previous stage of the project. There are no data about this phenomenon in the literature, so the phenomenon has been modeled by means of several approaches that were verified by comparison with experimental data. An uneven distribution of hydrogen inside metal samples due to saturation was explained by means of the diffusion of hydrogen in stress and strain fields obtained within the micropolar theory. Hydrogen accumulates within the area in the vicinity of the border determined by the additional material parameters of order of the grain size that reflect the «size effect». Thus, the skin effect can be explained by means of models accounting for translational degrees of freedom that cause additional stress and couple stress in the vicinity of the border and affect the diffusion. The coupled problem of determining the cylindrical sample stress-strain state during hydrogen diffusion was numerically solved with the finite volume method used. The constants used in the coupled problem were taken from the obtained experimental data. The solution was checked for compliance with the experiment. The terms of the local balance equation for the diffusion component and their influence on the diffusion process were investigated. For the modified diffusion coefficient, it was shown that its value nonlinearly decreases when moving from the sample boundary to the center, and the difference in the numerical value differs by orders of magnitude. Over time, this difference does not become smooth, and the value of the diffusion coefficient decreases. The obtained result agrees with the experimentally observed thin boundary layer saturated with hydrogen, and the resulting model can be used for its theoretical description at the initial stages of hydrogen diffusion into the steel. Hydrogen transport inside metal samples and degassing have been modeled by means of a multichannel diffusion. The finite element method was used to obtain a numerical solution. It was found that the skin effect fundamentally changes the transient process when the diffusion flux of hydrogen through flat samples is established, as well as the thermal desorption spectra of hydrogen for flat and cylindrical samples. This transient process and thermal desorption spectra are generally recognized sources of data on the diffusion coefficients and binding energies of hydrogen. Thus, the observed discrepancies are fundamental and can lead to a wrong determination of specific hydrogen diffusion constants. The errors can be of one or two decimal orders and require additional substantiation and research. Experimental study was carried out to determine the parameters of the models and to verify them. The process of multiple saturation-degassing of samples made of nickel alloy 718 and process of gigacycle fatigue have been investigated. Specimens cut from pipes made of aluminum alloy AMg-6 and nanostructured samples have been examined. All these experiments were carried out to clarify the mechanisms of the appearance of the skin effect and its influence on the metals and nanomaterials properties. It has been established that the skin effect leads to stable irreversible changes in the microstructure of materials. It does not always directly affect the mechanical properties of the samples, which can be completely restored after removing hydrogen by degassing (known as reversible hydrogen embrittlement). At the same time, saturation with hydrogen in a corrosive environment changes the way of the interaction of the metal with this corrosive environment. Such changes can lead to a significant acceleration of the degradation of mechanical properties during further operation of the metal in a corrosive environment. This acceleration is difficult to observe. It is important that the high-temperature degassing of metal, which is widely used to vanish a negative influence of hydrogen, somewhat delays, but does not stop the destruction process. The obtained results are important for technical diagnostics, since at the moment the so-called "surface" hydrogen is not recorded during the experiments and is not taken into account in the measurements. Its separate accounting will make it possible to estimate the quality of the metal more precisely and eliminate the possibility of preparing a "special set" of samples for inspection.

 

Publications

1. Frolova K.P., Vilchevskaya E.N.,Polyanskiy V.A., Yakovlev Yu.A. Modeling the skin effect associated with hydrogen accumulation by means of the micropolar continuum Continuum Mechanics and Thermodynamics, С. 1-15 (year - 2020) https://doi.org/10.1007/s00161-020-00948-3

2. Grigoreva P.M., Vilchevskaya E.N., Polyanskiy V.A. Influence of linear elastic stresses on hydrogen diffusion into metals Advances in Hydrogen Embrittlement Study. Advanced Structured Materials, Springer Nature Switzerland AG, - (year - 2021)

3. Polyanskiy V.A., Belyaev A.K., Chevrychkina A.A., Varshavchik E.A., Yakovlev Yu.A. Impact of skin effect of hydrogen charging on the Choo-Lee plot for cylindrical samples International Journal of Hydrogen Energy, - (year - 2020)

4. Sedova J., Polyansky V., Popov I. HEDE model vs inner pressure model in calculating the strength of hydrogenated metals Advanced Problems in Mechanics. APM 2019. Lecture Notes in Mechanical Engineering. Springer, Cham, С. 206-212 (year - 2020) https://doi.org/10.1007/978-3-030-49882-5_20

5. Sedova Y.S., Polyanskiy V.A., Bessonov N.M. Features of applying HEDE model to description of the destruction of materials induced by hydrogen International Summer School-Conference “Advanced Problems in Mechanics”, - (year - 2021)

6. Sedova Yu.S., Polyanskiy V.A. Модель HEDE против модели внутреннего давления в расчетах прочности наводореженных металлов Актуальные проблемы прикладной математики, информатики и механики., С. 1519-1524 (year - 2020)

7. Zumberov P.A., Yakovlev Y.A., Polyanskiy V.A. Calculation of the Activation Energies of Hydrogen in Titanium Manufactured with 3D Printing Technology by Means of a Multichannel Diffusion Model Advanced Problems in Mechanics. APM 2019. Lecture Notes in Mechanical Engineering. Springer, Cham, С. 256-263 (year - 2020) https://doi.org/10.1007/978-3-030-49882-5_25


Annotation of the results obtained in 2018
The first year investigations on the project were dedicated to the development of experimental methods for studying hydrogen transport in structural materials and basic models for describing the interaction of structural materials with hydrogen during their operation in a corrosive environment. These experimental methods and models are planned to become a keystone for computational and experimental hydrogen diagnostics of the structural materials properties degradation in aggressive corrosive environments. In order to perform this, it is necessary to conduct a wide range of theoretical and experimental studies, establish cause-and-effect relationships, and verify the methods on a considerable amount of experimental data. Currently the standards of the American Society of ASME Engineers are widely applied. They regulate the testing of new materials in corrosive environments, including hydrogen cracking. However, there is a great variety in the description of the mechanisms of the hydrogen seepage and its influence on the mechanical properties of materials. All possible interaction models from quantum mechanical to purely empirical are used. Such variety does not allow one to describe the interaction of hydrogen with metals adequately and unambiguously in specific technologically important cases, for example, in the operation of metals in a corrosive environment. In addition, there is a large variation in the experimental data. Hydrogen is the most mysterious component of metal alloys, the only one for which there are no international comparisons of measurement results in certified laboratories, and standard calibration samples from different manufacturers may differ in certified and measured values several times. In this regard, during the investigations closer attention was paid to the metrological reliability of all measurement results and their traceability to primary standards. AB-1 certified and verified mass spectrometry analyzer of hydrogen, working according to the methods of vacuum heating and vacuum melting, was used as a device for measuring hydrogen concentrations. Extensive studies have been carried out using both standard calibration samples and samples made from various alloys of iron, nickel, zirconium, titanium, saturated in different ways in corrosive environments according to ASME standards. The most important experimental result obtained on all alloys is the effect of a thin surface layer on hydrogen seepage. It has been established that, regardless of the saturation method, at real exposure times of the order of 100 hours in hydrogen-containing environments, only a thin, of the order of 100 μm thick, surface metal layer is strongly saturated with hydrogen. Slight changes in concentration occur inside the samples, but the difference between the concentration of hydrogen in the surface layer and the internal regions of the metal reaches two decimal orders of magnitude. The duration of exposure in a corrosive environment affects the thickness of the layer and the quantitative indicators of cracking of the internal regions of the sample but practically does not affect the ratio of hydrogen concentrations inside the sample and in the surface layer. External mechanical load neither changes the situation. Hydrogen enrichment under load for the duration of 100 hours leads to an increased concentration of hydrogen only in the surface layer and on the crack edges inside the metal. In the metal itself, the concentration of hydrogen remains background, even in the case when the sample is completely destroyed as a result of hydrogen enrichment under mechanical load. The obtained experimental data are consistent with data published in scientific journals. In one of the works, an equalization of the surface layer and the inner part concentrations in the steel samples was observed after 500 hours of cathode hydrogen enrichment, herewith the entire sample consisted of through cracks by the end of the process. It should be noticed that in various studies of the effect of hydrogen on the metal properties the time of cathode hydrogen enrichment from 4 to 30 hours is used. Due to our findings, there are several issues investigated in the course of the project: • Existing models of hydrogen fragility do not allow to describe the effect of a strong influence on the strength and ductility of the surface layer with a thickness of 100 μm with an average sample size of 20 mm. • The existing generally accepted models of hydrogen embrittlement do not describe the growth of main cracks inside the sample during its hydrogen saturation in a corrosive environment if there is practically no hydrogen inside the metal. The mechanisms of localized plasticity and the decohesion do not work. • It is necessary to provide additional verifications and validations of the identity of the mechanisms of artificial testing and natural operational hydrogen enrichment of metals in corrosive environments. In the first phase of the project, three main approaches to solving these problems were developed: Hydrogen seepage modeling was carried out together with the modeling of the stress-strain state of the material within the framework of multi-continuum models of rational mechanics. This approach allows us to describe the joint distribution of hydrogen and cracks, by taking into account the mutual influence of material deformations and hydrogen transport. Within the micropolar continuum approach, the distributed couple stress on the external boundary of the sample produces additional tensile strains in a thin surface layer, that in turn, initiate hydrogen absorption from the environment. This approach made it possible for the first time to describe the effect of a “rim” formation. Such the "rim" is often observed along the edge of the hydrogen-enriched samples fracture but has not been discussed in the scientific literature. The diffusion of hydrogen from a thin layer of the hydrogenated samples surface was measured and examined separately, which made it possible to obtain new experimental results. In particular, it was found that air storage of hydrogenated samples does not equalize the hydrogen concentrations throughout the sample, but almost completely "weather" hydrogen into the environment, which very often leads to a recovery of the mechanical characteristics of the samples after about two months of exposure. Such recovery is a well-known fact. It is considered as an example of reversible hydrogen fragility. The new data is that the thin surface layer of the sample is saturated with hydrogen and then restored. The inner part is not actually involved in the process of hydrogen redistribution. We believe that this is the reason for the discrepancy between the various results, which appears in many publications on the effect of hydrogen concentration on the properties of materials. Usually, the graphs are constructed depending not on hydrogen concentrations, but on the time of hydrogen absorption or the magnitude of the cathode current at cathode saturation. The additional investigations were made during the implementation of the above approaches, which made it possible to confirm the reliability of the constructed models and their advantages. A number of model problems have been solved. Programs for numerical simulation of the non-uniform concentration redistribution have been developed. Programs for analyzing discrete thermo-desorption spectra have been created, and experimental data processing has been done on their base. Comparisons of measurement results using various measurement techniques have been carried out. All the auxiliary results obtained allow us to state that the observed effect of the high hydrogen concentration in a thin near-surface layer is significant. The developed models allow describing and predicting that surface layer occurrence for some alloys, for example, aluminum and iron alloys. At the second stage of the project, further investigation of the phenomenon of hydrogen seepage during the operation of metals in corrosive environments based on both artificially and naturally hydrogenated samples is planned. Modelling of changes in the structure and strength of metals that accompany this seepage will be provided based on the experimental results. Link to the website dedicated to the project: https://www.researchgate.net/project/Saturation-of-solids-with-hydrogen-in-an-aggressive-environment

 

Publications

1. Arseniev D.G., Belyaev A.K., Polyanskiy A.M., Polyanskiy V.A., Yakovlev Yu. A. Benchmark study of measurements of hydrogen diffusion in metals Dynamical Processes in Generalized Continua and Structures, series Advanced Structured Materials, Springer International Publishing AG, - (year - 2019)

2. Belyaev A.K., Polyanskiy V.A. Some approaches to harmonic wave propagation in elastic solids with random microstructure Proceedings of the International Conference “Days on Diffraction", pp. 38–43 (year - 2018) https://doi.org/10.1109/DD.2018.8553491

3. Frolova K., Vilchevskaya E., Polyanskiy V., Alekseeva E. Modelling of a hydrogen saturated layer within the micropolar approach Special Edition "New Achievements in Continuum Mechanics and Thermodynamics" in Advanced Structured Materials, Springer Nature, - (year - 2019)

4. Frolova K.P., Vilchevskaya E.N., Polyanskiy V.A. Моделирование наводороженного поверхностного слоя в рамках теории микрополярных сред Сборник докладов научной конференции с международным участием «XLVII Неделя науки СПбПУ», - (year - 2018)

5. Grigoreva P.M., Vilchevskaya E.N. Кинетика фронта химической реакции в телах с осевой симметрией в задачах механохимии Сборник докладов научной конференции с международным участием «XLVII Неделя науки СПбПУ», - (year - 2018)

6. Grigoreva P.M., Vilchevskaya E.N. Влияние выбора модели диффузии на кинетику химической реакции Diagnostics, resource and mechanics of materials and structures, - (year - 2019)

7. Grigoreva P.M., Vilchevskaya E.N. Выбор модели диффузии и его влияние на кинетику химической реакции Труды IX международной конференции "The problems of interaction of deformable media", с. 133-137 (year - 2018)

8. Morozova A.S., Vilchevskaya E.N. Взаимосвязь распространения тепла и угловой скорости в микрополяных средах Сборник докладов научной конференции с международным участием «XLVII Неделя науки СПбПУ», - (year - 2018)

9. Morozova A.S., Vilchevskaya E.N., Müller W.H., Bessonov N.M. Interrelation of heat propagation and angular velocity in micropolar media "Dynamical Processes in Generalized Continua and Structures", series Advanced Structured Materials, Springer International Publishing AG, - (year - 2019)

10. Polyanskiy A.M., Polyanskiy V.A., Yakovlev Yu.A. Исследование изменения структуры современных конструкционных материалов с помощью анализатора водорода АВ-1 Сборник материалов четвертого междисциплинарного научного форума с международным участием "Новые материалы и перспективные технологии", T.1, с. 760-763 (year - 2018)

11. Polyanskiy V.A., Belyaev A.K., Tretyakov D.A, Yakovlev Yu.A., Polyanskiy A.M. Averaged equations for bi-continuum material in the long-wavelength approximation Proceedings of the International Conference “Days on Diffraction", pp. 245-250 (year - 2018) https://doi.org/10.1109/DD.2018.8553499

12. Polyanskiy V.A., Belyaev A.K., Yakovlev Yu.A., Polyaskiy A.M., Tretyakov D.A. Influence of skin effect of plastic deformation on hydrogen accumulation in metals AIP Publishing Conference Proceedings, - (year - 2018)

13. Seyedkavoosi S., Vilchevskaya E., Sevostianov I. Randomly Oriented Cracks in a Transversely Isotropic Material International Journal of Solids and Structures, Vol.150, рр. 222-229 (year - 2018) https://doi.org/10.1016/j.ijsolstr.2018.06.013

14. Varshavchik E.A., Polyanskiy V.A. Конечноэлементное моделирование насыщения металлов водородом из внешней среды Сборник докладов научной конференции с международным участием «XLVII Неделя науки СПбПУ», - (year - 2018)

15. Varshavchik E.A., Zumberov P.A., Polyanskiy V.A. Вычисление коэффициентов диффузии и энергий активации металлического циркония с помощью модели многоканальной диффузии водорода Сборник докладов научной конференции с международным участием «XLVII Неделя науки СПбПУ», - (year - 2018)

16. Yakovlev Y.A., Tretyakov D.A. Hydrogen in materials obtained using of additive technologies Proceedings of the International Conference on “Physics and Mechanics of New Materials and Their Applications” (PHENMA 2018), - (year - 2018)


Annotation of the results obtained in 2019
Occurrence of a thin hydrogen-containing surface layer observed during artificial hydrogenation of steel specimens carried out in the first stage of the project was studied using the experimental methods realized for model specimens and metal specimens taken from real structures operating in a corrosive environment. Comparison of the obtained results with the data provided by other researchers and obtained for various metals was carried out. The analysis of data of the world scientific literature as well as our data showed that the surface effect is universal and observed for any artificial hydrogen saturation of specimens. A certain exception is the saturation of specimens under pressure in a gaseous hydrogen atmosphere. Nevertheless, even in this case, in the absence of high temperatures, the duration of more than 100 hours of continuous saturation is necessary in order to ensure a uniform distribution of hydrogen concentrations in the specimens. At the same time in case of other standard saturation methods, this takes more than 500 hours. Significantly shorter times were used in 99% of works published over the past 150 years on the effect of hydrogen on the properties of metals when saturated with hydrogen. This casts doubt on some of the recognized scientific results. We would like to note that data on the average hydrogen concentration in specimens after saturation are absent in many researches. Moreover, the mechanical and physical properties of metals were reported as being dependent on the time of exposure to a corrosive solution, charge, or on the time of saturation with hydrogen. There are only less than a dozen works in which such an approach is called into question. In particular, they describe a strong nonlinear dependence of the average hydrogen concentration on the total charge transferred in the electrolyte during cathodic hydrogen distillation. At the same time, the diffusion nature of the saturation of metals with atomic hydrogen after surface sorption of hydrogen molecules from the external environment and their dissociation into hydrogen atoms is generally recognized. Therefore, experimental data on the inhomogeneous distribution of hydrogen concentrations over the depth of the metal in most articles are related to small diffusion coefficients. These coefficients provide a characteristic propagation time of the hydrogen concentration front in metal specimens of the order of several hundred hours. Results provided in our articles and a dozen other published articles do not allow us to consider this approach correct. In particular, in the standard hydrogen cracking test carried out according to NACE Standard TM0284-2003 metal cracking inside the specimens occurs without increasing the average hydrogen concentration. The surface layer of the metal is saturated to a concentration of about 100 ppm in 20 hours followed by cracking of the inner regions of the specimens, while the redistribution of hydrogen does not take place. Extraction of the specimen from the saline solution into the air environment at room temperature leads to a quite rapid removal of hydrogen from the surface layer. Much faster, hydrogen is extracted at room temperature in vacuum, which also casts doubt on the classical diffusion nature of the hydrogen transport in the metal. Thus, when studying interaction with corrosive media and electrochemical saturation with hydrogen, we face non-classical diffusion or transport of hydrogen from the external environment, which is not described by existing models, since they involve surface sorption of hydrogen molecules, an almost uniform distribution of hydrogen traps over the metal volume and diffusion hydrogen between surface and traps through various channels. The thickness of the surface layer is assumed to be equal to 10-100 nm. In turn, we observe a strong correlation between relatively low concentrations of hydrogen and the stress-strain state of the specimens, the thickness of the surface layer of the order of 100 μm and the non-hydrogen nature of the formation of cracks inside metals. The research and mathematical modeling of these phenomena were realized in the current stage of the project. A modified local balance equation of the diffusion component was obtained within the framework of linear nonequilibrium thermodynamics. This equation takes into account the mutual influence of diffusion and the stress-strain state in general terms, as well as the dependence of the diffusion process on temperature, gas concentration, and other thermomechanical loads. Using the finite volume method, a numerical solution of the coupled boundary problem for the stress-strain state of a cylindrical sample under uniaxial tension and the distribution of gas concentration was obtained. It was shown that, within the framework of the proposed model, the diffusion process quickly comes to the stationary mode, and the distribution profile of the hydrogen concentration has nonlinear character, demonstrating a significant decrease in the hydrogen concentration with increasing distance from the boundary to the center of the sample. The non-uniform distribution of hydrogen concentration over the sample is a consequence of internal stresses arising in the material during diffusion. The non-uniform distribution of hydrogen inside metals was also explained by means of the micropolar theory of continua which takes into account both force and couple actions and introduces rotational degrees of freedom of the body particles along with translational ones. As a result, a region of additional displacements of body particles increasing the intergranular space was obtained. This region is comparable with the size of the structural heterogeneity of the material, manifested in the presence of a surface layer containing an excess of hydrogen. Thus, application of the micropolar theory made it possible to relate the inhomogeneous distribution of hydrogen with the structural inhomogeneity of the saturated material. A link to the webpage dedicated to the project: https://www.researchgate.net/project/Saturation-of-solids-with-hydrogen-in-an-aggressive-environment

 

Publications

1. Alekseeva E.L., Belyaev A.K., Polyanskiy A.M., Polyanskiy V.A., Varshavchik E.A., Yakovlev Yu.A. Surface vs diffusion in TDS of hydrogen E3S Web of Conferences, Vol. 121, 01012 (year - 2019) https://doi.org/10.1051/e3sconf/201912101012

2. Frolova K.P. Моделирование неравномерного распределения водорода в металлах в рамках микрополярной теории упругости Неделя науки СПбПУ, - (year - 2019)

3. Grigoreva P., Vilchevskaya E.N., Müller W.H. Stress and Diffusion Assisted Chemical Reaction Front Kinetics in Cylindrical Structures Contributions to Advanced Dynamics and Continuum Mechanics. Advanced Structured Materials, Vol. 114, P. 53-72 (year - 2019) https://doi.org/10.1007/978-3-030-21251-3_4

4. Grigoreva P.M. Выбор модели диффузии для описания транспорта водорода из внешней среды под влиянием механических нагрузок Неделя науки СПбПУ, - (year - 2019)

5. Polyanskiy V.A., Belyaev A.K., Alekseeva E.L., Polyanskiy A.M., Tretyakov D.A., Yakovlev, Y.A. Phenomenon of skin effect in metals due to hydrogen absorption Continuum Mechanics and Thermodynamics, Vol. 31, No. 6, P. 1961–1975 (year - 2019) https://doi.org/10.1007/s00161-019-00839-2

6. Sedova J., Polyansky V., Popov I. HEDE model vs inner pressure model in calculating the strength of hydrogenated metals Proceedings of the International Summer School–Conference APM-2019, - (year - 2020)

7. Sedova Yu.S. Особенности применения модели HEDE к описанию разрушения материалов, содержащих водород Неделя науки СПбПУ, - (year - 2019)

8. Sedova Yu.S., Polyanskiy V.A. Модель HEDE против модели внутреннего давления в расчетах прочности наводореженных металлов Сборник трудов конференции МНТК, - (year - 2020)

9. Varshavchik E.A., Polyanskiy V.A., Chevrychkina A.A. Конечноэлементное моделирование диффузии и перераспределения водорода в металлах Неделя науки СПбПУ, - (year - 2019)

10. Varshavchik E.A., Polyanskiy V.A., Chevrychkina A.A. Моделирование процесса диффузии водорода в цилиндрических образцах железа Сборник трудов конференции МНТК, - (year - 2020)

11. Vilchevskaya E. , Levin V., Seyedkavoosi S., Sevostianov I. Replacement relations for a viscoelastic material containing multiple inhomogeneities International Journal of Engineering Science, Vol. 136, P. 26-37 (year - 2019) https://doi.org/10.1016/j.ijengsci.2018.12.006

12. Vilchevskaya E.N. Моделирование структурных превращений в микрополярных средах XII Всероссийский съезд по фундаментальным проблемам теоретической и прикладной механики: сборник трудов в 4 томах, Т. 3, C. 1042-1044 (year - 2019)

13. Zumberov P., Kolesov S., Polyansky V., Varshavchik E. Calculating the activation energies of nickel, manufactured using 3D printing technology, with multichannel hydrogen diffusion model E3S Web of Conferences, Vol. 121, 04017 (year - 2019) https://doi.org/10.1051/e3sconf/201912104017

14. - Поверхностный эффект «преградил» путь водороду в металлах Indicator.ru, 05.12.2019 12:42 ХИМИЯ И НАУКИ О МАТЕРИАЛАХ (year - )