Extended virtual element method for the linear elastic fracture problem
In this paper,we apply the extended virtual element method to solve linear elastic fracture problems within the context of fracture mechanics.This method facilitates independent mesh divisions with crack discontinuities and elastic crack tip singularity on general polygonal meshes.For linear elasticity problems,we first introduce a set of additional basis functions to construct variational forms and extended virtual element spaces.Next,by introducing an extended projection operator,functions in the extended virtual element space are mapped onto linear polynomial space and enrichment functions.The interaction integral was used to calculate the stress intensity factors.We validated the accuracy and effectiveness of this method in a numerical example on an infinite plate model with horizontal cracks.
linear elastic fracture problemextended virtual element methoderror estimationsingu-laritystress intensity factor
万方数据
维普
