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含不同形态裂纹板的近场动力学失效分析

Peridynamics failure analysis of plate structures containing different types of cracks

  • 摘要: 基于近场动力学理论,建立二维各向同性矩形板的数值模型,对含不同形态裂纹板结构在快速加载边界条件下的裂纹扩展进行了模拟分析。考虑不同预设裂纹的数量、位置和角度条件下板的失效破坏模式。结果表明,主裂缝均为沿垂直于加载方向扩展面内张开型裂纹,在主裂缝的两侧会生成分支并形成裂纹网络。预设裂纹倾斜角度会影响裂纹分支的起裂时间、扩展角度、分支长度及分支数量。对于单边裂纹板、90°竖向裂纹板和30°斜角交叉裂纹板,由于裂纹之间相互作用发生融合扩展生成面外撕裂裂纹,而且板出现了明显的扭转翘曲。

     

    Abstract: Based on peridynamics theory, a numerical model of a two-dimensional isotropic rectangular plate was established to simulate the crack propagation of plate structures containing different types of cracks under rapid loading boundary conditions. The failure and destruction modes of the plates under different pre-set crack numbers, positions, and angles were considered. The results show that the main cracks are all surface-opening cracks vertical-to-loading direction, and secondary cracks form on both sides of the main cracks and form a crack network. The inclination angle of the crack affects the crack initiation time, propagation angle, branch length, and branch number. For single-sided crack plates, 90° vertical crack plates, and 30° oblique cross-crack plates, due to the interaction between cracks, the cracks fuse and generate out-of-plane tearing cracks, and the plate shows obvious twisting and warping.

     

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