场富集有限元方法模拟多裂纹起裂、扩展和连接过程  

Field-enriched finite element method for numerical simulation of initiation,propagation and coalescence of multiple cracks

作　　者：周小平[1] 贾志明 ZHOU Xiao-ping;JIA Zhi-ming(School of Civil Engineering,Chongqing University,Chongqing 400045,China)

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《岩土工程学报》2022年第6期988-996,I0003,共10页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(51839009)。

摘　　要：研究含多裂纹岩石的力学响应和裂纹行为对岩体结构的设计与稳定性分析具有重要的指导意义。提出了场富集有限元方法研究脆性岩石材料中多裂纹的演化规律,包括裂纹的起裂、扩展和连接过程。提出了多裂纹在扩展过程中出现的各种交汇情况的解决方案。场富集有限元方法可以直接处理复杂的交叉裂纹,而不需要像扩展有限元一样引入额外的富集函数。通过数值算例,充分说明了场富集有限元方法在处理各种复杂裂纹系统扩展演化方面的能力。The study on the mechanical response and cracking behaviors of brittle rock materials with multiple cracks is of vital significance for the design and stability analysis of rock engineering structures.A field-enriched finite element method(FE-FEM)is proposed to study the evolution behaviors of multiple cracks in rock materials,including crack initiation,propagation and coalescence.The solutions to the crack coalescence problem during simulation are proposed.The field-enriched finite element method can directly deal with the complex multiple crack problem,while the extra enriched function needs to be introduced in the extended finite element method(XFEM).The analytical results of the present numerical examples demonstrate that the proposed numerical method has the capability to handle complex multiple crack propagation and coalescence.

关 键 词：脆性岩石材料 场富集有限元方法 裂纹扩展和连接 复杂多裂纹 

分 类 号：TU451[建筑科学—岩土工程]