A conforming to interface structured adaptive mesh refinement technique for modeling fracture problems
| Autor: | Anand Nagarajan, Fei Xiao, Soheil Soghrati |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
business.industry
Computer science Applied Mathematics Mechanical Engineering Linear elasticity Computational Mechanics Ocean Engineering 02 engineering and technology Structural engineering Grid 01 natural sciences 010101 applied mathematics Computational Mathematics 020303 mechanical engineering & transports 0203 mechanical engineering Computational Theory and Mathematics 0101 mathematics business Structured adaptive mesh refinement Algorithm Smoothing |
| Zdroj: | Computational Mechanics. 59:667-684 |
| ISSN: | 1432-0924 0178-7675 |
| DOI: | 10.1007/s00466-016-1366-z |
| Popis: | 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 Adaptive Mesh 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. |
| Databáze: | OpenAIRE |
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