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978-3-8440-1503-4
Alaskar Alizada
The eXtended Finite Element Method (XFEM) with Adaptive Mesh Refinement for Fracture Mechanics
Mechanik
Book review
Zentralblatt MATH 1276 -1, 22.05.2014


The book (PHD thesis) investigates and develops the extended finite element method (XFEM) for fracture mechanics. In fracture mechanics, displacement discontinuities appear on the crack surfaces. Approximation techniques enable to model the displacement discontinuities if crack appears inside the finite element. In order to capture high gradients and/or singularities that appear near the crack tip, the model-dependent enrichment functions are commonly used. Consequently, for each fracture mode, a different set of enrichment functions is required. The aim of the monograph is to find an approach that makes the XFEM really mode-independent. The mode-independent approach is based on the adaptive mesh refinement. The proposed approach is implemented for static problems as well as for problems with propagating cracks in elastic and elasto-plastic two- and three-dimensional problems.

Ján Sládek (Bratislava)

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