基于连续运动学的动态断裂
Dynamic fracture with continuum-kinematics-based peridynamics
摘要：
这一贡献提出了一个概念，动态断裂与连续运动学为基础的周波。基于连续体运动学的周向键是周向键的几何精确公式，其将基于表面或体积的相互作用添加到经典周向键，从而正确地捕获有限变形运动学。考虑这些非局部相互作用的表面和体积是使用从材料点的视界导出的点族构造的。对于断裂，经典的键拉伸损伤方法是不够的，在连续运动学为基础的周波。在这里，它被扩展到表面和体积为基础的相互作用，考虑到材料点的内力密度的强度损失的额外的故障变量。数值算例表明，该方法能正确处理大变形动载条件下裂纹扩展、冲击损伤和裂纹自发萌生等问题。
英文摘要：
This contribution presents a concept to dynamic fracture with continuum-kinematics-based peridynamics. Continuum-kinematics-based peridynamics is a geometrically exact formulation of peridynamics, which adds surface- or volumetric-based interactions to the classical peridynamic bonds, thus capturing the finite deformation kinematics correctly. The surfaces and volumes considered for these non-local interactions are constructed using the point families derived from the material points' horizon. For fracture, the classical bond-stretch damage approach is not sufficient in continuum-kinematics-based peridynamics. Here it is extended to the surface- and volume-based interactions by additional failure variables considering the loss of strength in the material points' internal force densities. By numerical examples, it is shown that the approach can correctly handle crack growth, impact damage, and spontaneous crack initiation under dynamic loading conditions with large deformations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
