A Bem Based Pattern Search Solution For A Class Of Inverse Elastostatic Problems

    Authors

    T. W. Ulrich; F. A. Moslehy;A. J. Kassab

    Comments

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    Abbreviated Journal Title

    Int. J. Solids Struct.

    Keywords

    SENSITIVITY; ELASTICITY; Mechanics

    Abstract

    A boundary element based solution, employing the Hooke-Jeeves pattern search method, is developed to determine internal cavity geometries in the inverse elastostatics problem. In contrast to existing methods which employ gradient based solutions, the developed method does not require gradient information, and consequently results in a simpler solution procedure. A boundary difference function (BDF) that provides a guide for the initial guess is introduced. The unknown cavity geometry is first assumed to be circular, and the algorithm is run until the general location of the cavity is determined. Subsequent refinement of the detected cavity geometry is affected using a periodic cubic spline discretization. Numerical results are presented to illustrate the effectiveness of the boundary difference function and to demonstrate the successful detection of the cavity. The effects of simulated experimental inputs with prescribed error are also presented. Copyright (C) 1996 Elsevier Science Ltd.

    Journal Title

    International Journal of Solids and Structures

    Volume

    33

    Issue/Number

    15

    Publication Date

    1-1-1996

    Document Type

    Article

    Language

    English

    First Page

    2123

    Last Page

    2131

    WOS Identifier

    WOS:A1996UF59700001

    ISSN

    0020-7683

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