Overview

This book addresses interface problems simulated with the finite element method (FEM) with mesh adaptivity. More specifically, we concentrate on the strategies that adaptively modify the mesh and the associated data transfer issues. In finite element simulations there often arises the need to change the mesh and continue the simulation on a new mesh. Analysts encounter such an issue when they adaptively refine the mesh to reduce the computational cost, smooth distorted elements to improve system conditioning, or introduce new surfaces and change the domain in simulations of fracture problems. In such circumstances, the transfer of data from the old mesh to the new one is of crucial importance, especially for nonlinear problems. We are concerned in this work with contact problems with adaptive re-meshing and fracture problems modeled with the extended finite element method (X-FEM).

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ZHANG Ziyu, Ph.D. is a stress engineer in Shanghai Aircraft Design and Research Institute, affiliated to Commercial Aircraft Corporation of China based in Shanghai, China. He received a B.S. in Beijing University of Aeronautics and Astronautics in 2008. In the fall of 2010, he joined the Department of Civil and Environmental Engineering at Duke University as a graduate student and received his doctorate in September, 2015. After his graduation, he joined COMAC, devoting himself in the Chinese national project of making large airliners. Dr. Zhang has co-authored a number of peer reviewed journal articles such as A modified moment-fitted integration scheme for X-FEM applications with history-dependent material data, A technique of verifying global finite-element analysis results for civil aircraft, etc.

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