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.

中文翻译：

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梯度-多凸材料的弹塑性

我们提出了一种在外部载荷下弹塑性材料的速率无关演化模型，该模型允许大应变。在应变梯度塑性与变形梯度乘法分解的设置中，我们证明了所谓的能量解的存在。假设存储的能量密度函数取决于变形梯度的次要梯度，这使得我们的结果适用于例如形状记忆材料。