论文标题
梯度 - 聚合物材料的弹性性
Elastoplasticity of gradient-polyconvex materials
论文作者
论文摘要
我们提出了一个模型，用于在外部载荷下弹性塑料材料中速率无关的演变，这允许大型菌株。在与变形梯度的乘法分解的应变梯度可塑性的设置中，我们证明了所谓的能量溶液的存在。假定存储的能量密度函数取决于变形梯度的未成年人的梯度，这使得我们的结果适用于形状记忆材料。
We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient, we prove the existence of the so-called energetic solution. The stored energy density function is assumed to depend on gradients of minors of the deformation gradient which makes our results applicable to shape-memory materials, for instance.
