5 Applications
Stéphane P. A. Bordas1, Alexander Menk2, and Sundararajan Natarajan3
1 University of Luxembourg, Luxembourg, UK2 Robert Bosch GmbH, Germany3 Indian Institute of Technology Madras, India
In this chapter, we provide some examples of applications of extended finite element method (XFEM) for problems with weak/strong discontinuities and singularities, viz., linear elastic homogeneous isotropic fracture mechanics; anisotropic fracture mechanics and automatic numerical enrichment; simulation of creep and crack initiation and propagation in solder joints; fatigue crack in two dimensions and plate subjected to thermo-mechanical loading. For the first four examples, consider a linear homogeneous body with an internal discontinuity occupying 
is subjected to mechanical boundary conditions. The boundary 
of 
accommodates the following decomposition: 
, where Dirichlet and Neumann boundary conditions are specified. The governing equation for the linear elasto-static problem in the absence of inertia and body forces is given by:
supplemented with the following boundary conditions ...
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