Abstract
An analysis system for three-dimensional fracture mechanics based on an interactive computer graphic preprocessor and a linear-elastic boundary element code is described. The system is designed for virtual memory mini-computer operations and incorporates a multidomain modeling capability which allows the treatment of domains built up as a sequence of adjacent regions. In the application of the BEM to linear-elastic fracture mechanics, two issues are addressed: crack surface modeling and singularity representation. The multidomain option is used to separate numerically the two crack surfaces by including the crack plane within the interface of two adjoining subdomains. Quadratic, isoparametric elements are made to embody the correct crack tip displacement variation by repositioning side nodes at the quarter-point. The inclusion of the correct singular traction term is accomplished by multiplying the traction shape functions by an “ ad hoc” shape function. The combined strength of BEM analysis and interactive preprocessing is demonstrated by the application of the integrated system to a variety of three-dimensional fracture mechanics problems.
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