Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case
- 31 May 2022
- journal article
- research article
- Published by Walter de Gruyter GmbH in Advances in Calculus of Variations
- Vol. 17 (2) , 487-502
Abstract
We study a variational model for crack growth in elasto-plastic materials with hardening in the antiplane case. The main result is the existence of a solution to the initial value problem with prescribed time-dependent boundary conditions.Keywords
This publication has 26 references indexed in Scilit:
- REGULARITY RESULTS FOR THREE-DIMENSIONAL ISOTROPIC AND KINEMATIC HARDENING INCLUDING BOUNDARY DIFFERENTIABILITYMathematical Models and Methods in Applied Sciences, 2009
- The Variational Approach to FractureJournal of Elasticity, 2008
- A Variational Principle for Hardening ElastoplasticitySIAM Journal on Mathematical Analysis, 2008
- A Γ-Convergence Approach to Stability of Unilateral Minimality Properties in Fracture Mechanics and ApplicationsArchive for Rational Mechanics and Analysis, 2006
- Existence and convergence for quasi‐static evolution in brittle fractureCommunications on Pure and Applied Mathematics, 2003
- Revisiting brittle fracture as an energy minimization problemJournal of the Mechanics and Physics of Solids, 1998
- On plasticity with hardeningJournal of Mathematical Analysis and Applications, 1978
- Recent Developments in the Mathematical Theory of PlasticityJournal of Applied Physics, 1949
- Stress-strain relations for strain hardening materials: Discussion and proposed experiments1949
- Strain Hardening Under Combined StressesJournal of Applied Physics, 1945