Fractal Finite Element Method

Fractal Finite Element Method

For sensitivity and probabilistic fracture analysis of cracked structures

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This monograph presents a new fractal finite element method (FFEM) based continuum shape sensitivity analysis for a crack in a homogeneous, isotropic, and 2-D linear-elastic body subjected to mixed-mode loading conditions. The method is based on the material derivative concept of continuum mechanics, and direct differentiation. In addition this monograph presents probabilistic fracture mechanics analysis of linear-elastic cracked structures subjected to mixed-mode loading conditions using FFEM. The method involves FFEM for calculating fracture response characteristics; statistical models of un...