Title

Cavity detection in biomechanics by an inverse evolutionary point load BEM technique

Authors

Authors

D. Ojeda; E. Divo; A. Kassab;M. Cerrolaza

Comments

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Abbreviated Journal Title

Inverse Probl. Sci. Eng.

Keywords

boundary element method (BEM); cavity detection; genetic algorithm; elastostatics; BOUNDARY-ELEMENT METHOD; SHAPE OPTIMIZATION; IDENTIFICATION; ALGORITHMS; CRACKS; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

Abstract

An efficient solution of the inverse geometric problem for cavity detection using a point load superposition technique in the elastostatics boundary element method (BEM) is presented in this article. A superposition of point load clusters technique is used to simulate the presence of cavities. This technique offers tremendous advantages in reducing the computational time for the elastostatics field solution as no boundary re-discretization is necessary throughout the inverse problem solution process. The inverse solution is achieved in two steps: (1) fixing the location and strengths of the point loads, (2) locating the cavity geometry. For a current estimated point load distribution, a first objective function measures the difference between BEM-computed and measured deformations at selected points. A genetic algorithm is employed to automatically alter the locations and strengths of the point loads to minimize the objective function. Upon convergence, a second objective function is defined to locate the cavity geometry modelled as traction-free surface. Results of cavity detection simulations using numerical experiments and simulated random measurement errors validate the approach in regular and irregular geometrical configurations.

Journal Title

Inverse Problems in Science and Engineering

Volume

16

Issue/Number

8

Publication Date

1-1-2008

Document Type

Article; Proceedings Paper

Language

English

First Page

981

Last Page

993

WOS Identifier

WOS:000260763600004

ISSN

1741-5977

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