近场动力学在断裂力学领域的研究进展

近场动力学采用非局部积分计算节点内力, 利用统一数学框架描述空间连续与非连续, 避免了非连续区局部空间导数引起的应力奇异, 数值上具有无网格属性, 可自然模拟材料结构的断裂问题. 本文概述了近场动力学的弹性本构力模型, 系统介绍了近场动力学临界伸长率、临界能量密度以及材料强度相关的键失效准则. 详细介绍了近场动力学在断裂力学领域的研究进展, 包括断裂参数能量释放率与应力强度因子的求解、J积分、混合型裂纹、弹塑性断裂、黏聚力模型、动态断裂、材料界面断裂以及疲劳裂纹扩展等. 最后讨论了断裂问题近场动力学研究的发展方向. 

Advances of peridynamics in fracture mechanics

In peridynamics, nonlocal integrals are proposed to calculate the node internal forces, and a unified mathematical framework is utilized to describe spatial continuity and discontinuity, which thus avoid the stress singularity caused by the local spatial derivative in the discontinuous region. Numerical peridynamic models have meshfree property, which is naturally capable of analyzing the fracture problems. In this paper, the elastic peridynamic model is briefly introduced, and the critical stretch, critical energy density, and strength-based peridynamic bond failure criteria are successively presented. Then, the research advances of peridynamics in the field of fracture mechanics are systematically introduced, including the computations of energy release rate and stress intensity factor, J integral, mixed-mode crack fracture, elastoplastic fracture, cohesive zone model, dynamic fracture, hybrid material interface fracture, and fatigue crack growth. Finally, the prospects for further research of peridynamics in fracture mechanics is provided.