同济大学学报（自然科学版）2026，Vol.54Issue(9)：1323-1332,10.DOI:10.11908/j.issn.0253-374x.25188
基于Mohr‑Coulomb强度准则的非线性近场动力学岩石破坏计算方法
A Nonlinear Peridynamic Method for Rock Failure Analysis Based on the Mohr–Coulomb Criterion
摘要
Abstract
This study develops a numerical model for analyzing and solving stress and strain fields within the nonlocal differential operator framework,enabling the direct calculation of stress components at different time steps.Based on the small-deformation assumption,the nonlocal force density is reconstructed using the operator formulation,thereby avoiding the need for additional surface correction.A stretch-dependent weakening coefficient is introduced to characterize the nonlinear deformation and failure behavior of rock materials.The tensile,compressive,and shear damage of bonds between material points is evaluated using the tensile strength,compressive strength,and Mohr‑Coulomb criterion,and a nonlinear Mohr‑Coulomb‑based peridynamic damage model for rock fracture is established.The proposed model is applied to investigate crack initiation,propagation,and damage evolution of intact sandstone specimens and sandstone specimens containing prefabricated orthogonal intersecting fissures under different loading conditions.The results show that the proposed method effectively simulates mixed tensile–shear fracture processes in both intact and flawed rock specimens,overcoming the limitation of conventional methods in distinguishing different fracture modes.关键词
近场动力学/裂纹扩展/非线性/Mohr-Coulomb准则/岩石破裂Key words
peridynamics/crack propagation/nonlinear/Mohr‑Coulomb criterion/rock fracture分类
建筑与水利引用本文复制引用
马鹏飞,张艺晨,王馨,陈军,冯天骏,袁超..基于Mohr‑Coulomb强度准则的非线性近场动力学岩石破坏计算方法[J].同济大学学报（自然科学版）,2026,54(9):1323-1332,10.基金项目
国家重点研发计划(2024YFF0508202) （2024YFF0508202）
博士后创新人才支持计划(BX20250052) （BX20250052）
山东省自然科学基金(ZR2023QE337) （ZR2023QE337）
