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Computational Problems in Orthopaedic Biomechanics

Published online by Cambridge University Press:  15 February 2011

Dean Taylor
Dean Taylor*
Affiliation:
Cornell-Hospital for Special Surgery Program in Biomechanical Engineering Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853
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Abstract

Total joint replacements such as the hip and knee result in composite structures. Proper design of these devices and selection of particular devices requires understanding of the structural response of the resulting composite structure of plastic, metal, interface, and human bone. The problem is challenging because of complex geometry, non-homogeneous material properties (dense cortical bone and spongy cancellous bone), and time varying material properties (bone remodeling). Bone is a active material which responds over time to applied load, changing the density and Young's modulus.

This paper addresses several computational issues. Remote sensed data such as computerized tomography scans are used to create finite element models. Nonhomogeneous material properties are represented in finite element models using shape functions. This results in a unique material property for each Gauss point. Finally, stochastic finite elements methods are used to model material variation and uncertainty. Both Monte Carlo and First Order Second Moment methods are used. These problems are particularly well suited for high-level parallelization schemes on multiple instruction multiple data machines.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 323: Symposium J – Electronic Packaging Materials Science VII , 1993 , 221
Copyright
Copyright © Materials Research Society 1994

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