岩土力学2025，Vol.46Issue(2)：625-639,15.DOI:10.16285/j.rsm.2024.0498
应用卷积近场动力学快速模拟随机裂纹扩展
Application of convolution-based peridynamics in rapid simulation of random crack propagation
摘要
Abstract
The traditional peridynamics method replaces partial differential equations in continuum mechanics with integral equations,resulting in more generalized equations without smoothness restrictions on the unknown function.This makes the methodology particularly suitable for simulating discontinuous problems,such as spontaneous crack initiation and propagation.However,the high computational cost often limits its practical engineering applications.This paper introduces a fast convolution-based method for peridynamics to enhance computational efficiency.This algorithm employs fast Fourier transformation to accomplish convolution calculations,facilitating the computation of integral terms in peridynamics equations,significantly reducing the computational cost of the peridynamics method.A preprocessing method suitable for this algorithm is proposed based on the computational process and numerical implementation characteristics of the fast convolution-based method for peridynamics.Its feasibility is verified through two tensile square plate examples with pre-existing cracks.Furthermore,a modeling method for predicting random crack propagation is proposed,offering a novel approach for research in predicting random crack propagation in geomaterials.关键词
近场动力学/快速卷积/建模方法/随机裂纹扩展预测Key words
peridynamics/fast convolution/modeling method/random crack propagation prediction分类
数理科学引用本文复制引用
周建,廖星川,刘福深,尚肖楠,沈君逸..应用卷积近场动力学快速模拟随机裂纹扩展[J].岩土力学,2025,46(2):625-639,15.基金项目
国家自然科学基金(No.52179112). This work was supported by the National Natural Science Foundation of China(52179112). （No.52179112）
