标题： 薄片折叠的建模与仿真 显示英文标题

标题： Modeling and simulation of thin sheet folding

摘要： 文章解决了沿预定曲线弧的薄弹性片材折叠的数学建模问题。 在能量和折叠弧的几何特性与薄片厚度相关的适当缩放条件下，从一般的超弹性材料描述中进行了严格的模型降阶。 得到的二维模型是一个分段非线性Kirchhoff板弯曲模型，在折叠弧处具有连续性条件。 为准确数值逼近大变形，设计了不连续Galerkin方法和迭代方案。 显示英文摘要

摘要： The article addresses the mathematical modeling of the folding of a thin elastic sheet along a prescribed curved arc. A rigorous model reduction from a general hyperelastic material description is carried out under appropriate scaling conditions on the energy and the geometric properties of the folding arc in dependence on the small sheet thickness. The resulting two-dimensional model is a piecewise nonlinear Kirchhoff plate bending model with a continuity condition at the folding arc. A discontinuous Galerkin method and an iterative scheme are devised for the accurate numerical approximation of large deformations.