论文标题
线性弹性板中的脆性断裂
Brittle fracture in linearly elastic plates
论文作者
论文摘要
在这项工作中，我们通过伽马连接技术得出了脆性断裂线性弹性板的模型。确切地说，我们从具有正厚度$ρ$的脆性弹性薄膜开始，然后将极限研究为$ρ$倾向于0。分析是对可允许的位移和骨折集的几何形状进行的先验限制。极限模型的特征是基尔chhoff-love的结构类型。
In this work we derive by Gamma-convergence techniques a model for brittle fracture linearly elastic plates. Precisely, we start from a brittle linearly elastic thin film with positive thickness $ρ$ and study the limit as $ρ$ tends to 0. The analysis is performed with no a priori restrictions on the admissible displacements and on the geometry of the fracture set. The limit model is characterized by a Kirchhoff-Love type of structure.
