This book describes the basics and developments of the new XFEM approach to fracture analysis of composite structures and materials. It provides state of the art techniques and algorithms for fracture analysis of structures including numeric examples at the end of each chapter as well as an accompanying website which will include MATLAB resources, executables, data files, and simulation procedures of XFEM. The first reference text for the extended finite element method (XFEM) for fracture analysis of structures and materials Includes theory and applications, with worked numerical problems and solutions, and MATLAB examples on an accompanying website with further XFEM resources Provides a comprehensive overview of this new area of research, including a review of Fracture Mechanics, basic through to advanced XFEM theory, as well as current problems and applications Includes a chapter on the future developments in the field, new research areas and possible future applications of the method The extended finite element method (XFEM) is an extension to the classical finite element method (FEM), using the concepts of partition of unity and meshless approaches. It is specifically designed to improve the performance of the conventional finite element method, while keeping the computational costs at an acceptable level, and avoiding the ambiguities and implications of FEM in mesh propagation problems. XFEM has now been widely adopted by civil, mechanical, material and aerospace engineering disciplines all over the world and is used to accurately determine the level of performance and safety of cracked structures. 'XFEM Fracture Analysis of Composites' presents the new developments in the XFEM for fracture analysis of composites, including static and dynamic fracture analysis, layer cracking and multilayer delamination, and cracking of inhomogeneous functionally graded materials (FGMs). This book also introduces new computational frontiers of fracture analysis of orthotropic materials, including the recently developed extended isogeometric analysis (XIGA), XFEM anisotropic dislocation dynamics, biomechanical applications, and piezoelectric materials. Key features include: Comprehensive description of the extended finite element method Complete theoretical bases, before exploration of numerical issues Coverage of static and dynamic crack propagation of composites and functionally graded materials, and delamination in bimaterial composites Introduction of the extended isogeometric analysis for orthotropic materials Accompanied by a website (www.wiley.com/go/mohammadi) hosting sample MATLAB(R) files XFEM Fracture Analysis of Composites is a comprehensive text ideal for graduate and postgraduate students and is a useful reference for researchers and practising engineers involved in cracking and fracture mechanics.