改进键型近场动力学方法下的多裂纹板破坏分析

在键型近场动力学理论框架下,通过在常规微弹脆性本构模型中引入表征非局部长程作用力强度尺寸效应的核函数修正项,构建了可部分消除泊松比限制的含裂纹双参数微弹脆性近场动力学本构模型。通过对含双裂纹脆性板的单轴拉伸破坏模拟并将所得结果与已有文献结果进行对比,验证了本构模型和算法的可靠性。在此基础上,通过数值模拟不同形态的多裂纹脆性板的裂纹扩展过程以及定量分析不同初始裂纹形态下的临界破坏荷载数值,给出了初始裂纹数量、位置和方向对结构破坏型式、扩展路径和承载能力的影响规律。

Failure Analysis of Multi-Cracked Plates by Modified Bond-based Peridynamics

This article, which is based on the Bond-based Peridynamics, introduces a modified kernel function term to characterize the size effect of non-local long-range force intensity in the conventional micro-elastic brittle Peridynamics constitutive model and constructed a two-parameter micro-elastic brittle Peridynamics constitutive model with cracks, which partially eliminates the Poisson"s ratio limitation of the conventional micro-elastic brittle. By simulating the uniaxial tensile failure of brittle plates with double cracks and comparing the results with those in the literature, the reliability of the constitutive model and the algorithm proposed in this paper is verified. On this basis, by numerical simulation of crack growth process of multi-crack brittle plates with different shapes and quantitative analysis of critical failure load under different initial crack shapes, the influence of the number, location and direction of initial cracks on structural failure mode, propagation path and load-carrying capacity is given.