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| Content Provider | Springer Nature Link |
|---|---|
| Author | Grabovsky, Yury Truskivsky, Lev |
| Copyright Year | 2014 |
| Abstract | Strong local minimizers with surfaces of gradient discontinuity appear in variational problems when the energy density function is not rank-one convex. In this paper we show that the stability of such surfaces is related to the stability outside the surface via a single jump relation that can be regarded as an interchange stability condition. Although this relation appears in the setting of equilibrium elasticity theory, it is remarkably similar to the well-known normality condition that plays a central role in classical plasticity theory. |
| Ending Page | 1146 |
| Page Count | 22 |
| Starting Page | 1125 |
| File Format | |
| ISSN | 09388974 |
| e-ISSN | 14321467 |
| Journal | Journal of Nonlinear Science |
| Issue Number | 6 |
| Volume Number | 24 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2014-08-15 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | ApplicationMathematics/Computational Methods of Engineering Theoretical, Mathematical and Computational Physics Dynamics of phase boundaries Normality Energy minimization Phase transitions Free problems in two or more independent variables Elastic stability Martensitic Analysis Plasticity Quasi convexity Mechanics Economic Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Engineering Modeling and Simulation |
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