Modeling Strong Discontinuities Using Generalized Finite Element Method (GFEM)

Pal, M K (2012) Modeling Strong Discontinuities Using Generalized Finite Element Method (GFEM). Masters thesis, Indian Institute of Technology, Hyderabad.

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Abstract

Computational modeling of strong discontinuities is a challenging a task. Stress analysis and shape sensitivity can be done with any simulation method such as finite element method, finite difference method, Rayleigh-Ritz method, weighted residual method or least square method. All these numerical analysis methods are computationally expensive and uneconomical. Mesh dependency with respect to fracture boundary is a major problem in these methods. Furthermore accuracy of the methods depends on the size of the discretized element.

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