A conforming to interface structured adaptive mesh refinement technique for modeling fracture problems

作者：Soghrati Soheil; Xiao Fei; Nagarajan Anand

来源：Computational Mechanics, 2017, 59(4): 667-684.

DOI：10.1007/s00466-016-1366-z

• CISAMR
• Mesh generation
• Linear elastic fracture
• Branching crack
• r-adaptivity

A Conforming to Interface Structured Adaptive Mesh Refinement (CISAMR) technique is introduced for the automated transformation of a structured grid into a conforming mesh with appropriate element aspect ratios. The CISAMR algorithm is composed of three main phases: (i) Structured AdaptiveMesh Refinement (SAMR) of the background grid; (ii) r-adaptivity of the nodes of elements cut by the crack; (iii) sub-triangulation of the elements deformed during the r-adaptivity process and those with hanging nodes generated during the SAMR process. The required considerations for the treatment of crack tips and branching cracks are also discussed in this manuscript. Regardless of the complexity of the problem geometry and without using iterative smoothing or optimization techniques, CISAMR ensures that aspect ratios of conforming elements are lower than three. Multiple numerical examples are presented to demonstrate the application of CISAMR for modeling linear elastic fracture problems with intricate morphologies.

• 出版日期2017-4