The Proceedings of OPTIS
Online ISSN : 2424-3019
2010.9
Session ID : 108
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108 Solution to shape fitting problem using density as design variable
Akihiro KOKURAHideyuki AZEGAMI
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Abstract
This paper presents a numerical method to construct a finite element model of a disorder in skeletal system by deforming a finite element model of normal shape. A boundary shape of a. disorder is assumed to be given as a reference displacement defined on a subboundary of the normal model based on medical images. We construct a problem to find the optimum deformation of the normal model that minimizes a square error integral on the subboundary between the hyper elastic deformation of the normal model and the boundary shape of the disorder by varying a design variable for density of the normal model. We show an evaluation method of the derivative of the square error integral of displacement with respect to the design variable, and a solution to the present problem by a gradient method. Finally, a numerical example for spine is introduced.
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© 2010 The Japan Society of Mechanical Engineers
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