TY - GEN AU - Rabczuk, Timon AU - Song, Jeong-Hoon AU - Zhuang, Xiaoying AU - Anitescu, Cosmin TI - Extended finite element and meshfree methods SN - 9780128141069 U1 - 620.00151825 PY - 2020/// CY - London PB - Academic Press KW - Finite element method KW - Meshfree methods N2 - Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications ER -