Pub Date : 2021-06-01DOI: 10.17804/2410-9908.2021.3.017-030
N. B. Pugacheva, B. Guzanov
In recent years, chromium-nickel-manganese corrosion-resistant steels have been widely used in construction for the manufacture of stair railings and fences, elevators, and heat exchangers used for heat recovery in office premises and in production, including in metallurgical workshops. The purpose of this study is to determine the changes in the chemical and phase compositions of the 12Cr15Mn9NiCu corrosion-resistant steel (Russian analogue of the AISI 201 steel) after commercial operation in structural components of the heat exchanger of a metallurgical workshop. It was found that, during operation, all the studied fragments of the 12Cr15Mn2NiCu steel heat exchanger underwent intense oxidation with the formation of chromium and manganese oxides both on the surface and along the boundaries of the austenite grain. Diffusive penetration of sulfur into the steel with the formation of MnS particles, as well as carbonization of the surface layers, was recorded. As a result, the content of chromium and manganese in the steel significantly decreased, the amount of carbon increased, and the structure changed from austenitic to martensitic with a hardness of 532 HV 5 (48 HRC). Several investigated fragments retained austenite with oxidized grain boundaries. The austenite grain size ranged from 0.031 mm to 0.088 mm, with hardness ranging from 156 to 212 HV 5. It is shown that the use of the 12Cr15Mn9NiCu corrosion-resistant chromium-nickel-manganese steel intended for the manufacture of heat exchangers for metallurgical production is extremely inappropriate.
{"title":"Studying the chemical and phase compositions of a chromium-nickel-manganese steel after operation at elevated temperatures in corrosive environments","authors":"N. B. Pugacheva, B. Guzanov","doi":"10.17804/2410-9908.2021.3.017-030","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.3.017-030","url":null,"abstract":"In recent years, chromium-nickel-manganese corrosion-resistant steels have been widely used in construction for the manufacture of stair railings and fences, elevators, and heat exchangers used for heat recovery in office premises and in production, including in metallurgical workshops. The purpose of this study is to determine the changes in the chemical and phase compositions of the 12Cr15Mn9NiCu corrosion-resistant steel (Russian analogue of the AISI 201 steel) after commercial operation in structural components of the heat exchanger of a metallurgical workshop. It was found that, during operation, all the studied fragments of the 12Cr15Mn2NiCu steel heat exchanger underwent intense oxidation with the formation of chromium and manganese oxides both on the surface and along the boundaries of the austenite grain. Diffusive penetration of sulfur into the steel with the formation of MnS particles, as well as carbonization of the surface layers, was recorded. As a result, the content of chromium and manganese in the steel significantly decreased, the amount of carbon increased, and the structure changed from austenitic to martensitic with a hardness of 532 HV 5 (48 HRC). Several investigated fragments retained austenite with oxidized grain boundaries. The austenite grain size ranged from 0.031 mm to 0.088 mm, with hardness ranging from 156 to 212 HV 5. It is shown that the use of the 12Cr15Mn9NiCu corrosion-resistant chromium-nickel-manganese steel intended for the manufacture of heat exchangers for metallurgical production is extremely inappropriate.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73940185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.17804/2410-9908.2021.4.050-061
E. M. Reizmunt, S. Doronin, E. Moskvichev
The tasks of information and computational support for the analysis of the survivability and safety of power shells of technical objects are formulated, aimed at studying their properties taking into account damages and abnormal effects. To solve them, algorithms and computational tools have been developed, aimed at analyzing damage and assessing the risk of re-occurrence of accidents at technical objects, modeling the structural and mechanical heterogeneity of welded joints and calculating their crack resistance, parametric modeling of welded joints with defects, analyzing the sensitivity of structures to defects, damages, and off-design effects, and evaluating their survivability and safety. Information support has been developed, which contains a systematic list of factors reducing survivability and safety, the results of experimental studies of the crack resistance of welded joints and the survivability of shells with a developing macrocrack, as well as the accumulated results of solving model and applied problems on analyzing the properties of damaged shell structures, as reference data.
{"title":"Information and analytical tools for assessing the structural survivability and safety of technological equipment","authors":"E. M. Reizmunt, S. Doronin, E. Moskvichev","doi":"10.17804/2410-9908.2021.4.050-061","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.4.050-061","url":null,"abstract":"The tasks of information and computational support for the analysis of the survivability and safety of power shells of technical objects are formulated, aimed at studying their properties taking into account damages and abnormal effects. To solve them, algorithms and computational tools have been developed, aimed at analyzing damage and assessing the risk of re-occurrence of accidents at technical objects, modeling the structural and mechanical heterogeneity of welded joints and calculating their crack resistance, parametric modeling of welded joints with defects, analyzing the sensitivity of structures to defects, damages, and off-design effects, and evaluating their survivability and safety. Information support has been developed, which contains a systematic list of factors reducing survivability and safety, the results of experimental studies of the crack resistance of welded joints and the survivability of shells with a developing macrocrack, as well as the accumulated results of solving model and applied problems on analyzing the properties of damaged shell structures, as reference data.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84271707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.17804/2410-9908.2021.3.031-044
S. Bogdanov, I. F. Berger, V. Bobrovskii, V. Voronin, V. D. Parkhomenko, V. Chernov
Competitive economic indicators for fast-neuron power reactors can be achieved with high coefficients of fuel burnout, which requires remarkable enhancement of radiation resistance of fuel pin claddings. Nowadays, low-activation vanadium alloys are projected as promising fuel cladding materials in view of their high radiation and thermal resistance in wide temperature and damage dose ranges. Neutron diffraction and small-angle neutron scattering are employed to study the microstructure of the V-4Ti-4Cr alloy subjected to irradiation with fast neutrons in the fluence range up to 1·1020 cm−2. Minor phases precipitated in the system are structurally characterized. The applicability and prospects of neutron diffraction methods in terms of studying the radiation behavior of this kind of alloys are shown.
{"title":"Neutron studies of the V-4Ti-4Cr alloy","authors":"S. Bogdanov, I. F. Berger, V. Bobrovskii, V. Voronin, V. D. Parkhomenko, V. Chernov","doi":"10.17804/2410-9908.2021.3.031-044","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.3.031-044","url":null,"abstract":"Competitive economic indicators for fast-neuron power reactors can be achieved with high coefficients of fuel burnout, which requires remarkable enhancement of radiation resistance of fuel pin claddings. Nowadays, low-activation vanadium alloys are projected as promising fuel cladding materials in view of their high radiation and thermal resistance in wide temperature and damage dose ranges. Neutron diffraction and small-angle neutron scattering are employed to study the microstructure of the V-4Ti-4Cr alloy subjected to irradiation with fast neutrons in the fluence range up to 1·1020 cm−2. Minor phases precipitated in the system are structurally characterized. The applicability and prospects of neutron diffraction methods in terms of studying the radiation behavior of this kind of alloys are shown.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"133 8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83562630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.17804/2410-9908.2021.4.34-49
A. Gorshkov, E. Prosviryakov
The paper considers the convective flow of a viscous incompressible fluid over a rotating surface. It studies the angle between the fluid velocity vector in the upper layer and the temperature gradient vector on the free surface. For the study, an analytical solution to the Oberbeck–Boussinesq equations is constructed, which describes the stratified Ekman flow taking into account two components of the Coriolis force. The temperature gradient and the conditions of Marangoni thermocapillary convection are set at the upper (free) boundary, and the condition of fluid adhesion is set on the lower (solid) boundary. The representation of velocities in the form of linear functions of horizontal coordinates is used. It is shown that, when the flow depth tends to infinity, the angle between the upper layer fluid velocity vector and the temperature gradient vector tends to π/2 .
{"title":"Analytical study of the Ekman angle for the Benard–Marangoni convective flow of viscous incompressible fluid","authors":"A. Gorshkov, E. Prosviryakov","doi":"10.17804/2410-9908.2021.4.34-49","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.4.34-49","url":null,"abstract":"The paper considers the convective flow of a viscous incompressible fluid over a rotating surface. It studies the angle between the fluid velocity vector in the upper layer and the temperature gradient vector on the free surface. For the study, an analytical solution to the Oberbeck–Boussinesq equations is constructed, which describes the stratified Ekman flow taking into account two components of the Coriolis force. The temperature gradient and the conditions of Marangoni thermocapillary convection are set at the upper (free) boundary, and the condition of fluid adhesion is set on the lower (solid) boundary. The representation of velocities in the form of linear functions of horizontal coordinates is used. It is shown that, when the flow depth tends to infinity, the angle between the upper layer fluid velocity vector and the temperature gradient vector tends to π/2 .","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83599201","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-01DOI: 10.17804/2410-9908.2021.2.022-029
E. Prosviryakov
We consider the flows of ideal (Euler equations) and Newtonian viscous (Navier–Stokes equations) incompressible fluids in the gravitational field of mass forces. In this case, the gravitational field created by the liquid itself (self-gravity) is also taken into account. It is shown that some well-known principles of maximum pressure, according to which either the pressure is constant in the flow region, or the minimum pressure is reached at the boundary of this region if the forces of self-gravity are taken into account, exclude the case of constant pressure. It is also demonstrated that self-gravity makes it impossible for waves and solitons to pass with pressure minima to the surface of a body flown around by a viscous fluid.
{"title":"Gravitational principle of minimum pressure for incompressible flows","authors":"E. Prosviryakov","doi":"10.17804/2410-9908.2021.2.022-029","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.2.022-029","url":null,"abstract":"We consider the flows of ideal (Euler equations) and Newtonian viscous (Navier–Stokes equations) incompressible fluids in the gravitational field of mass forces. In this case, the gravitational field created by the liquid itself (self-gravity) is also taken into account. It is shown that some well-known principles of maximum pressure, according to which either the pressure is constant in the flow region, or the minimum pressure is reached at the boundary of this region if the forces of self-gravity are taken into account, exclude the case of constant pressure. It is also demonstrated that self-gravity makes it impossible for waves and solitons to pass with pressure minima to the surface of a body flown around by a viscous fluid.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80423106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-01DOI: 10.17804/2410-9908.2021.2.006-021
B. Guzanov, N. B. Pugacheva, T. Bykova
Comprehensive studies of the chemical composition, microstructure, and thickness of a combined multilayer coating on a heat-resistant nickel alloy are presented. The distribution pat-tern of chemical elements over the coating thickness for all the layers, namely the inner aluminosili-cated layer, the plasma sublayer, and the outer heat-insulating layer, has been established. Surface roughness was determined at all the stages of coating application and after testing. The results of comparative tests of corrosion-erosion resistance and resistance to burn-through of a diffusion aluminosilicide coating, a two-layer heat-insulating coating, and a combined multilayer coating are presented. High heat-shielding properties of a combined multilayer coating on a heat-resistant nickel alloy have been discovered.
{"title":"Erosion resistance of a combined multilayer coating protecting critical parts of modern gas turbine engines","authors":"B. Guzanov, N. B. Pugacheva, T. Bykova","doi":"10.17804/2410-9908.2021.2.006-021","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.2.006-021","url":null,"abstract":"Comprehensive studies of the chemical composition, microstructure, and thickness of a combined multilayer coating on a heat-resistant nickel alloy are presented. The distribution pat-tern of chemical elements over the coating thickness for all the layers, namely the inner aluminosili-cated layer, the plasma sublayer, and the outer heat-insulating layer, has been established. Surface roughness was determined at all the stages of coating application and after testing. The results of comparative tests of corrosion-erosion resistance and resistance to burn-through of a diffusion aluminosilicide coating, a two-layer heat-insulating coating, and a combined multilayer coating are presented. High heat-shielding properties of a combined multilayer coating on a heat-resistant nickel alloy have been discovered.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87069042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-01DOI: 10.17804/2410-9908.2021.2.052-063
M. A. Artemov, E. Baranovskii
We consider an optimal control problem for an integro-differential system (with a quadratic cost functional) modeling a three-dimensional creeping flow of an incompressible viscoelastic fluid in a bounded domain with impermeable solid walls. The fluid flow is controlled by the time-dependent external force. The concept of the control operator is proposed. We prove a theorem on the existence of a unique optimal control under the assumption that the set of admissible controls is convex and that it is closed in a suitable function space. Moreover, we obtain a variational ine-quality for the optimal control. The proof of this theorem is based on the application of the Faedo–Galerkin approximation scheme taking into account energy estimates of approximate solutions and using the lemma on the existence and uniqueness of the metric projection of a point onto a closed convex set in a real Hilbert space.
{"title":"An extremum problem for a linear integro-differential system describing creeping flows of a viscoelastic fluid","authors":"M. A. Artemov, E. Baranovskii","doi":"10.17804/2410-9908.2021.2.052-063","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.2.052-063","url":null,"abstract":"We consider an optimal control problem for an integro-differential system (with a quadratic cost functional) modeling a three-dimensional creeping flow of an incompressible viscoelastic fluid in a bounded domain with impermeable solid walls. The fluid flow is controlled by the time-dependent external force. The concept of the control operator is proposed. We prove a theorem on the existence of a unique optimal control under the assumption that the set of admissible controls is convex and that it is closed in a suitable function space. Moreover, we obtain a variational ine-quality for the optimal control. The proof of this theorem is based on the application of the Faedo–Galerkin approximation scheme taking into account energy estimates of approximate solutions and using the lemma on the existence and uniqueness of the metric projection of a point onto a closed convex set in a real Hilbert space.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"76 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83879258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-01DOI: 10.17804/2410-9908.2021.2.030-051
N. Burmasheva, E. Prosviryakov
The article proposes a family of exact solutions to the Navier–Stokes equations for describing isobaric inhomogeneous unidirectional fluid motions. Due to the incompressibility equation, the velocity of the inhomogeneous Couette flow depends on two coordinates and time. The expression for the velocity field has a wide functional arbitrariness. This exact solution is obtained by the method of separation of variables, and both algebraic operations (additivity and multiplicativity) are used to substantiate the importance of modifying the classical Couette flow. The article contains extensive bibliographic information that makes it possible to trace a change in the exact Couette solution for various areas of the hydrodynamics of a Newtonian incompressible fluid. The fluid flow is described by a polynomial depending on one variable (horizontal coordinate). The coefficients of the polynomial functionally depend on the second (vertical) coordinate and time; they are determined by a chain of the simplest homogeneous and inhomogeneous partial differential parabolic-type equations. The chain of equations is obtained by the method of undetermined coefficients after substituting the exact solution into the Navier–Stokes equation. An algorithm for integrating a system of ordinary differential equations for studying the steady motion of a viscous fluid is presented. In this case, all the functions defining velocity are polynomials. It is shown that the topology of the vorticity vector and shear stresses has a complex structure even without convective mixing (creeping flow).
{"title":"Exact solutions of the Navier–Stokes equations for describing an isobaric one-directional vertical vortex flow of a fluid","authors":"N. Burmasheva, E. Prosviryakov","doi":"10.17804/2410-9908.2021.2.030-051","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.2.030-051","url":null,"abstract":"The article proposes a family of exact solutions to the Navier–Stokes equations for describing isobaric inhomogeneous unidirectional fluid motions. Due to the incompressibility equation, the velocity of the inhomogeneous Couette flow depends on two coordinates and time. The expression for the velocity field has a wide functional arbitrariness. This exact solution is obtained by the method of separation of variables, and both algebraic operations (additivity and multiplicativity) are used to substantiate the importance of modifying the classical Couette flow. The article contains extensive bibliographic information that makes it possible to trace a change in the exact Couette solution for various areas of the hydrodynamics of a Newtonian incompressible fluid. The fluid flow is described by a polynomial depending on one variable (horizontal coordinate). The coefficients of the polynomial functionally depend on the second (vertical) coordinate and time; they are determined by a chain of the simplest homogeneous and inhomogeneous partial differential parabolic-type equations. The chain of equations is obtained by the method of undetermined coefficients after substituting the exact solution into the Navier–Stokes equation. An algorithm for integrating a system of ordinary differential equations for studying the steady motion of a viscous fluid is presented. In this case, all the functions defining velocity are polynomials. It is shown that the topology of the vorticity vector and shear stresses has a complex structure even without convective mixing (creeping flow).","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79313363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-01DOI: 10.17804/2410-9908.2020.2.064-072
V. Nazarov
To describe the creep rupture process under complex stress, various equivalent stresses are considered. From them, the equivalent stress at which the total error of the difference between the experimental and theoretical values takes the smallest value among the considered equivalent stresses is selected. In this paper, three basic equivalent stresses are considered, as well as two complex equivalent stresses, which are a linear combination of the basic ones with one material parameter. The analysis of the total errors in the considered experimental data shows that, with the simultaneous effect of internal pressure and the axial force on the wall of tubular specimens (or biaxial tension of a plane element), a complex equivalent stress should be used in the form of a combination of the maximum normal stress and the Mises stress. For simultaneous torsion and tension of tubular specimens (or simultaneous tension and compression of a plane element), a complex equivalent stress should be used in the form of a combination of the maximum normal stress and the doubled maximum tangential stress.
{"title":"Selection of complex equivalent stress for two different variants of the plane stress state","authors":"V. Nazarov","doi":"10.17804/2410-9908.2020.2.064-072","DOIUrl":"https://doi.org/10.17804/2410-9908.2020.2.064-072","url":null,"abstract":"To describe the creep rupture process under complex stress, various equivalent stresses are considered. From them, the equivalent stress at which the total error of the difference between the experimental and theoretical values takes the smallest value among the considered equivalent stresses is selected. In this paper, three basic equivalent stresses are considered, as well as two complex equivalent stresses, which are a linear combination of the basic ones with one material parameter. The analysis of the total errors in the considered experimental data shows that, with the simultaneous effect of internal pressure and the axial force on the wall of tubular specimens (or biaxial tension of a plane element), a complex equivalent stress should be used in the form of a combination of the maximum normal stress and the Mises stress. For simultaneous torsion and tension of tubular specimens (or simultaneous tension and compression of a plane element), a complex equivalent stress should be used in the form of a combination of the maximum normal stress and the doubled maximum tangential stress.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"36 6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90280589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-02-01DOI: 10.17804/2410-9908.2021.1.055-063
V. V. Struzhanov
An operator equation is obtained, the solution of which is an intrinsic (residual) stress tensor reducing the stress level to zero in a predetermined region of a rigidly loaded elastic body. It is shown that the operator of this equation is a contraction operator and, therefore, this equation can be solved by the method of successive approximations. An example is given.
{"title":"On one problem of determining the optimal residual stress field","authors":"V. V. Struzhanov","doi":"10.17804/2410-9908.2021.1.055-063","DOIUrl":"https://doi.org/10.17804/2410-9908.2021.1.055-063","url":null,"abstract":"An operator equation is obtained, the solution of which is an intrinsic (residual) stress tensor reducing the stress level to zero in a predetermined region of a rigidly loaded elastic body. It is shown that the operator of this equation is a contraction operator and, therefore, this equation can be solved by the method of successive approximations. An example is given.","PeriodicalId":11165,"journal":{"name":"Diagnostics, Resource and Mechanics of materials and structures","volume":"2008 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82531193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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