Computation of singular solutions in elliptic problems and elasticity
Computation of singular solutions in elliptic problems and elasticity
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Regular and singular metis finite element models for delamination in composite laminates
Finite Elements in Analysis and Design
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This work deals with the extraction of stress intensity factors in the three dimensional problems. In order to have a good estimation of them, a special class of mixed finite element, named ''Metis'' element (mongrel element), coupled to a code evaluating overstress, is used. After a brief explanation of the asymptotic model leading to stress/displacement in the vicinity of a delamination crack or a singular line at the junction between different materials, a simple and accurate numerical method is proposed. Next, the singular part is included in Metis element to estimate simultaneously the structural variables and the stress intensity factors. Finally, a numerical example on a bimaterial is illustrated and compared with a case found in the literature.