东南大学学报（自然科学版）2025，Vol.55Issue(4)：932-941,10.DOI:10.3969/j.issn.1001-0505.2025.04.002
基于改进Willam-Warnke准则的断裂相场模型
A fracture phase-field model based on the modified Willam-Warnke criterion
摘要
Abstract
Based on the fracture phase-field theoretical framework,a phase-field model eliminating strain en-ergy decomposition requirements was proposed.The Willam-Warnke criterion with tension cutoff was em-ployed to construct an equivalent crack driving force,which serves to obviate the dependency on energy de-composition algorithms inherent in conventional phase-field methods and to characterize the complex fracture behavior of fissured rock.The user-defined element(UEL)subroutine for the phase-field model was devel-oped using the staggered solution algorithm,and implemented on the Abaqus finite element platform.The nu-merical simulations of compression test on the rock slabs with prefabricated single/double fissures were con-ducted.The results demonstrate that in single-fissure scenarios,the initiation,propagation,and coalescence of both initial wing cracks and secondary coplanar shear cracks are effectively captured by the phase-field model,and excellent agreement with experimental results is demonstrated.In double-fissure scenarios,para-metric analysis demonstrates that vertical spacing is shown to have a negligible impact on fracture patterns,while changes in parallel spacing are observed to alter crack coalescence modes within the rock bridge.Failure phenomena observed in experiments are successfully replicated in the simulations,including the interaction of shear cracks,the merging of wing cracks,and the coalescence of wing and shear cracks,which validates the model's representational capability for complex crack topology evolution.关键词
相场模拟/裂纹驱动力/Willam-Warnke准则/裂纹扩展/岩石力学Key words
phase-field simulation/crack driving force/Willam-Warnke criterion/crack propagation/rock mechanics分类
建筑与水利引用本文复制引用
路德春,何钦,周鑫,赵金科,杜修力..基于改进Willam-Warnke准则的断裂相场模型[J].东南大学学报（自然科学版）,2025,55(4):932-941,10.基金项目
国家杰出青年科学基金资助项目(52025084) （52025084）
国家自然科学基金重点资助项目(52438005) （52438005）
国家自然科学基金青年基金资助项目(52408374) （52408374）
国家重点研发计划资助项目(2023YFC3009300) （2023YFC3009300）
中国科协青年人才托举工程资助项目(2023QNRC001). （2023QNRC001）
