标题： 一种线性弹性壳的广义力学理论 显示英文标题

标题： A peridynamic theory for linear elastic shells

摘要： 基于状态的线性弹性壳体的无网格动力学公式被提出。 重点在于首次引入一种通用的基于表面的无网格动力学模型，以表示其中一个物理维度远小于其他两个维度的结构的变形特性。 利用弯曲键的新概念来满足描述壳体的无网格粒子之间的力传递。 从三维力和变形状态出发，得出适当的基于表面的力、力矩和几种变形状态。 在弯曲键上应用这些状态，得到控制壳体运动的必要力和变形矢量。 我们的无网格动力学壳体理论的正确性通过球形和圆柱形壳体以及平板的静态变形进行了数值评估。 显示英文摘要

摘要： A state-based peridynamic formulation for linear elastic shells is presented. The emphasis is on introducing, possibly for the first time, a general surface based peridynamic model to represent the deformation characteristics of structures that have one physical dimension much smaller than the other two. A new notion of curved bonds is exploited to cater for force transfer between the peridynamic particles describing the shell. Starting with the three dimensional force and deformation states, appropriate surface based force, moment and several deformation states are arrived at. Upon application on the curved bonds, such states beget the necessary force and deformation vectors governing the motion of the shell. Correctness of our proposal on the peridynamic shell theory is numerically assessed against static deformation of spherical and cylindrical shells and flat plates.