Single-Slip Elastoplastic Microstructures
Single-Slip Elastoplastic Microstructures
复制标题
单滑移弹塑性微结构
DOI：
--
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
F. Theil
中科院分区：
文献类型：
--
作者：
S. Conti;F. Theil
摘要：我们考虑率无关的晶体塑性与约束弹性，和状态的增量问题的变分公式。对于一般的边界数据，即使是第一时间增量也不允许光滑解，并且形成精细结构。利用拟凸性的工具，我们得到了单滑移系第一增量问题的显式松弛。我们的构造表明，两个不同的变形梯度之间的层压板形成。塑性变形集中在其中一个，另一个是一个纯粹的弹性应变。对于一个简单的剪切试验的具体情况下，我们也得到了一个完全明确的解决方案。
Abstract.We consider rate-independent crystal plasticity with constrained elasticity, and state the variational formulation of the incremental problem. For generic boundary data, even the first time increment does not admit a smooth solution, and fine structures are formed. By using the tools of quasiconvexity, we obtain an explicit relaxation of the first incremental problem for the case of a single slip system. Our construction shows that laminates between two different deformation gradients are formed. Plastic deformation concentrates in one of them, the other is a purely elastic strain. For the concrete case of a simple-shear test we also obtain a completely explicit solution.