论文标题
梯度polyconvex材料模型及其数值处理
Gradient polyconvex material models and their numerical treatment
论文作者
论文摘要
梯度多凸材料是非简单材料，我们不假设弹性应变的平滑度，而是需要菌株未成年人的规律性。与二年级材料相比，这允许更大的可允许变形。我们描述了梯度多凸弹性能的可能实现。此外，还给出了梯度聚合物的新几何解释，并将其与标准的二年级材料进行比较。最后，我们使用两个不同的模型（即圣景基尔chhoff材料和双重储存的能量密度）证明了所提出的方法的应用。
Gradient polyconvex materials are nonsimple materials where we do not assume smoothness of the elastic strain but instead regularity of minors of the strain is required. This allows for a larger class of admissible deformations than in the case of second-grade materials. We describe a possible implementation of gradient polyconvex elastic energies. Besides, a new geometric interpretation of gradient-polyconvexity is given and it is compared with standard second-grade materials. Finally, we demonstrate application of the proposed approach using two different models, namely, a St.-Venant Kirchhoff material and a double well stored energy density.
