Amir R. Khoei ... 584 pages - Publisher: Wiley; (February, 2015) ... Language: English - ISBN-10: 1118457684 - ISBN-13: 978-1118457689.
The finite element method (FEM) technique has been developed to
simulate and analyze complex engineering problems. However, there are a
number of drawbacks with finite element simulation of discontinuous
problems, such as fracture mechanics problems, including the
computational cost of a very fine finite element mesh and the complex
remeshing strategy in capturing discontinuity. The extended finite
element method (XFEM) has therefore been developed to improve the
performance of the conventional finite element method in discontinuity
problems. Extended Finite Element Method: Theory and Applications
introduces the theory and applications of XFEM in the linear and
nonlinear problems of continua, structures, and geomechanics. It begins
by introducing the concept of a partition of unity, various enrichment
functions, and fundamentals of XFEM formulation. It then covers the
theory and application of XFEM in large deformations, plasticity, and
contact problems. The implementation of XFEM in fracture mechanics,
including linear, cohesive, and ductile crack propagation, is also
covered. Finally, the theory and applications of XFEM in multiphase
fluid flow, including hydraulic fracturing in soil saturated media and
crack propagation in thermo-hydro-mechanical porous media, are discussed
in detail. Key features: Comprehensively introduces XFEM analysis + Explains the theory and applications of XFEM in various continuum and geo-mechanical problems + Includes worked examples + Accompanied by a website hosting source code and examples. Extended Finite Element Method: Theory and Applications
is a comprehensive introduction to XFEM analysis for researchers and
practitioners in industry, and is also an ideal textbook for graduate
students in mechanical and civil engineering.ccompanied by a website
hosting source code and examples