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