Numerical simulation of multiple crack growth in brittle materials with adaptive remeshing

Abstract

SUMMARYIn this paper, an automated adaptive remeshing procedure is presented for simulation of arbitrary shape crack growth in multiple cracked bodies. The Zienkiewicz-Zhu error estimator is employed in conjunction with the modified superconvergent patch recovery (SPR) technique to obtain more accurate estimation of error. A stability analysis is performed to determine active cracks from a set of competitive cracks. Various crack growth criteria together with the respective crack trajectory prediction are compared. Several numerical examples are illustrated to demonstrate the efficiency, robustness and accuracy of computational algorithm in the simulation of multiple crack growth.

Adaptive Finite Element‐Discrete Element Analysis for Microseismic Modelling of Hydraulic Fracture Propagation of Perforation in Horizontal Well considering Pre‐Existing Fractures

“…The conventional FEM has limitations to deal with the fracture propagation; furthermore, the mesh refinements have to be adopted [35]. The coupled finite element-(FE-) discrete element (DE) method makes the cracks flexibly propagate between the elements; the adaptive analysis and remeshing strategy could conquer the problems in solving fracture propagation by conventional FEM [36]. Using the FE-DE method and local remeshing technique, the software package ELFEN TGR [37] has been developed and will be applied in this paper.…”

Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method

“…This example was also analyzed by Azadi and Khoei [42], and Budynet al [44]. Their final cracking paths are shown in Fig.…”

“…12 displays the cracking paths under three distinct cracking increments, all of them almost coincide, indicating the proposed procedure is insensitive to the cracking increment. As a comparison, the path given by Azadi and Khoei [42] is also drawn in the same figure. Fig.…”

“…Cracking paths under distinct cracking increments (da: cracking increment) given by the proposed method, with the result from Azadi[42].…”

Hydro-Mechanical Coupled Model of Hydraulic Fractures Using the eXtended Finite Element Method

“…Xu and Dowd, 2010;Azadi and Khoei, 2011). However the numerical technique is computationally expensive to consider the moving boundary of the fracture propagation, since the fractures must be explicitly modeled as additional finite meshes.…”