Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion
For the first time the conservation laws for von Mises plasticity equations in three dimensions as well as for plane stress equations are given. In the plane case conservation laws are used to construct characteristics for the Cauchy problem. For the system of the plane strain, the conservation laws...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/702132 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560236130467840 |
|---|---|
| author | S. I. Senashov A. Yakhno |
| author_facet | S. I. Senashov A. Yakhno |
| author_sort | S. I. Senashov |
| collection | DOAJ |
| description | For the first time the conservation laws for von Mises plasticity equations in three dimensions as well as for plane stress equations are given. In the plane case conservation laws are used to construct characteristics for the Cauchy problem. For the system of the plane strain, the conservation laws are used to solve the free boundary problem for any convex smooth contour loaded with constant normal and zero tangential stresses. |
| format | Article |
| id | doaj-art-37987a6f516f4a53b01ff615ff881763 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-37987a6f516f4a53b01ff615ff8817632025-02-03T01:28:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/702132702132Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield CriterionS. I. Senashov0A. Yakhno1Siberian State Aerospace University, 31 Krasnoyarsky Rabochy Avenue, Krasnoyarsk 660014, RussiaDepartamento de Matemáticas, CUCEI, Universidad de Guadalajara, Boulevard Marcelino García Barragán 1421, 44430 Guadalajara, JAL, MexicoFor the first time the conservation laws for von Mises plasticity equations in three dimensions as well as for plane stress equations are given. In the plane case conservation laws are used to construct characteristics for the Cauchy problem. For the system of the plane strain, the conservation laws are used to solve the free boundary problem for any convex smooth contour loaded with constant normal and zero tangential stresses.http://dx.doi.org/10.1155/2013/702132 |
| spellingShingle | S. I. Senashov A. Yakhno Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion Abstract and Applied Analysis |
| title | Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion |
| title_full | Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion |
| title_fullStr | Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion |
| title_full_unstemmed | Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion |
| title_short | Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion |
| title_sort | conservation laws of three dimensional perfect plasticity equations under von mises yield criterion |
| url | http://dx.doi.org/10.1155/2013/702132 |
| work_keys_str_mv | AT sisenashov conservationlawsofthreedimensionalperfectplasticityequationsundervonmisesyieldcriterion AT ayakhno conservationlawsofthreedimensionalperfectplasticityequationsundervonmisesyieldcriterion |