Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive Equations
The main kinematic relations and constitutive equations, which are used for creating computational methods to investigate finite elastoplastic deformations are presented in the paper. The medium kinematics is considered along with the multiplicative concept of the full deformation gradient. The cons...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Kazan Federal University
2015-12-01
|
| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/portal/docs/F642184796/157_4_phys_mat_14.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850037985901281280 |
|---|---|
| author | L.U. Sultanov |
| author_facet | L.U. Sultanov |
| author_sort | L.U. Sultanov |
| collection | DOAJ |
| description | The main kinematic relations and constitutive equations, which are used for creating computational methods to investigate finite elastoplastic deformations are presented in the paper. The medium kinematics is considered along with the multiplicative concept of the full deformation gradient. The constitutive equations are deduced using the theory of flow and the second law of thermodynamics. As a result, a dependence of the stress tensor rate on the free energy function and the yield function is obtained. |
| format | Article |
| id | doaj-art-5e7b372dbf864a5eb857a5712bb7ce47 |
| institution | DOAJ |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-5e7b372dbf864a5eb857a5712bb7ce472025-08-20T02:56:43ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982015-12-011574158165Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive EquationsL.U. Sultanov0Kazan Federal University, Kazan, 420008 RussiaThe main kinematic relations and constitutive equations, which are used for creating computational methods to investigate finite elastoplastic deformations are presented in the paper. The medium kinematics is considered along with the multiplicative concept of the full deformation gradient. The constitutive equations are deduced using the theory of flow and the second law of thermodynamics. As a result, a dependence of the stress tensor rate on the free energy function and the yield function is obtained.https://kpfu.ru/portal/docs/F642184796/157_4_phys_mat_14.pdfnonlinear elasticityfinite deformationsplasticity |
| spellingShingle | L.U. Sultanov Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive Equations Учёные записки Казанского университета: Серия Физико-математические науки nonlinear elasticity finite deformations plasticity |
| title | Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive Equations |
| title_full | Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive Equations |
| title_fullStr | Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive Equations |
| title_full_unstemmed | Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive Equations |
| title_short | Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive Equations |
| title_sort | analysis of finite elastoplastic deformations kinematics and constitutive equations |
| topic | nonlinear elasticity finite deformations plasticity |
| url | https://kpfu.ru/portal/docs/F642184796/157_4_phys_mat_14.pdf |
| work_keys_str_mv | AT lusultanov analysisoffiniteelastoplasticdeformationskinematicsandconstitutiveequations |