Homogeneous Cauchy stress induced by non‐homogeneous deformations
| Autor: | Patrizio Neff, L. Angela Mihai, Eva Schweickert |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Deformation (mechanics) Cauchy stress tensor Isotropy Linear elasticity Mathematical analysis Regular polygon Elastic energy 02 engineering and technology 01 natural sciences 010305 fluids & plasmas 020303 mechanical engineering & transports 0203 mechanical engineering Homogeneous 0103 physical sciences Constant (mathematics) |
| Zdroj: | PAMM. 18 |
| ISSN: | 1617-7061 |
| DOI: | 10.1002/pamm.201800185 |
| Popis: | We discuss whether homogeneous Cauchy stress implies homogeneous strain in isotropic nonlinear elasticity. While for linear elasticity the positive answer is clear, we exhibit an example with inhomogeneous continuous deformation but constant Cauchy stress. The example is derived from a non rank-one convex elastic energy. |
| Databáze: | OpenAIRE |
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