含初始裂纹巴西圆盘劈裂问题的非局部近 场动力学建模

巴西圆盘劈裂是弹性力学及岩石力学与工程中的经典问题。在非局部键型近场动力 学理论的基础上，引入物质点对的转动自由度构建双参数微观弹脆性近场动力学本构力模型 以突破常规模型的应用范围限制，并考虑岩石混凝土类材料的宏观拉压异性和断裂特征。引 入动态松弛、粒子系统力边界条件和系统平衡弛豫等算法，实现了含不同倾角中心裂纹巴西 圆盘受压劈裂破坏全过程的近场动力学数值模拟，裂纹扩展路径及破坏形式均与试验结果高 度吻合，为裂纹扩展和断裂破坏问题的数值模拟提供了新的选择。

Nonlocal peridynamic modeling for split of notched Brazilian disk

The split of Brazilian disk has attracted serious concern of researchers from the fields of elasticity and rock mechanics and engineering. In this paper a modified two-parameter micro-elastic prototyped brittle peridynamic constitutive model was proposed considering the relative rotation of the interactive bonds of material points based on the recently developed nonlocal peridynamic theory, and the mechanical behavior and fracture characteristics of rock-like materials were also taken into account. By introducing a series of physical algorithms including local damping, force boundary, equilibrium and dynamic relaxation of particle system, the failure process of a pre-notched rock-like Brazilian disk with different central cracks were studied with the proposed peridynamic simulation method. The crack propagation paths and failure mode agree well with experimental observation, which provides a promising alternative for numerical simulation of crack growth and fracture.