Quasistatic Deformation of Shape Memory Rigid-Plastic Bodies under Variable External Loads and Temperatures
Plastic deformation plays a decisive role in inelastic deformation of solids. Therefore, it is appropriate to analyze mechanical behavior within an ideal rigid plastic model with two loading surfaces. In the first section the problem of deformation of rigid plastic bodies is defined at the constant...
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Journal of advanced mechanical sciences
2024-12-01
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| Series: | Journal of Advanced Mechanical Sciences |
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| Online Access: | http://research.jamsjournal.com/index.php/jamsjournal/article/view/64 |
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| author | Yuriy Neustadt Vladimir Grachev |
| author_facet | Yuriy Neustadt Vladimir Grachev |
| author_sort | Yuriy Neustadt |
| collection | DOAJ |
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Plastic deformation plays a decisive role in inelastic deformation of solids. Therefore, it is appropriate to analyze mechanical behavior within an ideal rigid plastic model with two loading surfaces. In the first section the problem of deformation of rigid plastic bodies is defined at the constant temperature in two equivalent forms: as a principle of virtual velocities and as a requirement of the minimum dissipative functional. In the second section the rigid plastic model of the solid is studied at the changing temperature with two loading surfaces. Two optimal principles are stated: for the force loading and for the shape restoration. The existence of the generalized velocities is proved for 3D domains. The first and second laws of thermodynamics introduced in the design model enable application of the variational principle at changing temperatures. In the third section shape memory materials are defined as solids with two loading surfaces. In the conclusion problems for further studies are stated.
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| format | Article |
| id | doaj-art-9b205c0153cc4d91b4485bbf3280948a |
| institution | Kabale University |
| issn | 2583-3790 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Journal of advanced mechanical sciences |
| record_format | Article |
| series | Journal of Advanced Mechanical Sciences |
| spelling | doaj-art-9b205c0153cc4d91b4485bbf3280948a2025-02-09T18:45:33ZengJournal of advanced mechanical sciencesJournal of Advanced Mechanical Sciences2583-37902024-12-0131Quasistatic Deformation of Shape Memory Rigid-Plastic Bodies under Variable External Loads and TemperaturesYuriy Neustadt0Vladimir Grachev1Samara State Technical University, Samara, Russia Samara State Technical University, Samara, Russia Plastic deformation plays a decisive role in inelastic deformation of solids. Therefore, it is appropriate to analyze mechanical behavior within an ideal rigid plastic model with two loading surfaces. In the first section the problem of deformation of rigid plastic bodies is defined at the constant temperature in two equivalent forms: as a principle of virtual velocities and as a requirement of the minimum dissipative functional. In the second section the rigid plastic model of the solid is studied at the changing temperature with two loading surfaces. Two optimal principles are stated: for the force loading and for the shape restoration. The existence of the generalized velocities is proved for 3D domains. The first and second laws of thermodynamics introduced in the design model enable application of the variational principle at changing temperatures. In the third section shape memory materials are defined as solids with two loading surfaces. In the conclusion problems for further studies are stated. http://research.jamsjournal.com/index.php/jamsjournal/article/view/64shape memory materials, rigid -plastic bodies, optimal principles, model with two loading surfaces, laws of thermodynamics, existence of generalized velocities |
| spellingShingle | Yuriy Neustadt Vladimir Grachev Quasistatic Deformation of Shape Memory Rigid-Plastic Bodies under Variable External Loads and Temperatures Journal of Advanced Mechanical Sciences shape memory materials, rigid -plastic bodies, optimal principles, model with two loading surfaces, laws of thermodynamics, existence of generalized velocities |
| title | Quasistatic Deformation of Shape Memory Rigid-Plastic Bodies under Variable External Loads and Temperatures |
| title_full | Quasistatic Deformation of Shape Memory Rigid-Plastic Bodies under Variable External Loads and Temperatures |
| title_fullStr | Quasistatic Deformation of Shape Memory Rigid-Plastic Bodies under Variable External Loads and Temperatures |
| title_full_unstemmed | Quasistatic Deformation of Shape Memory Rigid-Plastic Bodies under Variable External Loads and Temperatures |
| title_short | Quasistatic Deformation of Shape Memory Rigid-Plastic Bodies under Variable External Loads and Temperatures |
| title_sort | quasistatic deformation of shape memory rigid plastic bodies under variable external loads and temperatures |
| topic | shape memory materials, rigid -plastic bodies, optimal principles, model with two loading surfaces, laws of thermodynamics, existence of generalized velocities |
| url | http://research.jamsjournal.com/index.php/jamsjournal/article/view/64 |
| work_keys_str_mv | AT yuriyneustadt quasistaticdeformationofshapememoryrigidplasticbodiesundervariableexternalloadsandtemperatures AT vladimirgrachev quasistaticdeformationofshapememoryrigidplasticbodiesundervariableexternalloadsandtemperatures |