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Titlebook: Boundary Element Analysis in Computational Fracture Mechanics; T. A. Cruse Book 1988 Kluwer Academic Publishers 1988 development.elasticit

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Boundary Element Analysis in Computational Fracture Mechanics
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An Historical Perspective,ated a reciprocal work theorem, considering the work done by stresses in one solution state doing work on the strains of a distinct solution state. Such a “work” is work only in the mathematical sense and obviously has no physical counterpart.
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Boundary-Integral Equation Formulation and Solution,and the application of elastic potentials to satisfy equilibrium by Somigliana (1885). Much of the literature in the past ten years of BIE formulations has made use of the method of weighted residuals. While simple to apply, especially by those who have a finite element background, the method of wei
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BIE Modeling of Crack Surfaces,tisfy interior equilibrium, for a given boundary solution. The source of modeling error for BEM analyses is therefore not the volume discretization, as in the FEM, but rather the boundary discretization.
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Two-Dimensional Weight Function Evaluation,nerally taken to be the normalized rate of change of surface displacements with respect to crack size for a reference state of loading. As shown by Rice (1972), this weight function acts as a Green’s function for the crack problem. That is, the solution to any fracture mechanics problem for the same
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