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  • 1
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 36 (1993), S. 3097-3130 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This work presents a specialization of the integral identities used in the boundary element method. This modification is especially tailored to deal with three-dimensional elastostatic problems involving geometries which contain two parallel planar surfaces (e.g. three-dimensional plate problems). The formulation makes use of the three-dimensional fundamental solution for a point load acting in the interior of an infinite layer of uniform thickness (obtained by Benitez and Rosakis8,9).It is shown that this procedure is especially suited for the analysis of three-dimensional problems involving cavities in plate structures. In such problems it is demonstrated that, in addition to the cavity surfaces, only the lateral surfaces of the structure need to be discretized, with no discretization required on the traction-free parallel surfaces.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 36 (1993), S. 3131-3159 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This work applies the specialization of the integral identities used in the boundary element method to the numerical solution of three-dimensional elasticity problems involving geometries containing two parallel planar surfaces (see Part I this issue). Two three-dimensional problems are numerically analysed by using the above procedure. These are the problems of pressurized circular and elliptical holes in infinite plates of uniform thickness. For the circular hole problem, the accuracy of our scheme is established by direct comparison of our results with the available analytical solution. For the ellipse problem, with an aspect ratio of 4:1, the boundary element results are compared with those of a finite element calculation.
    Additional Material: 38 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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