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A Model for Studying the Stress-Field around Simple Fractures in Human Patella

Published online by Cambridge University Press:  07 June 2016

J.C. Misra  and
V.V.T.N. Murti
J.C. Misra
Affiliation:
School of Research in Biomechanics, Department of Mathematics, Indian Institute of Technology, Kharagpur-721302
V.V.T.N. Murti
Affiliation:
School of Research in Biomechanics, Department of Mathematics, Indian Institute of Technology, Kharagpur-721302
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Summary

A mathematical model for estimating the stress-field in the vicinity of cracks in human patella has been studied. In conformity with experimental observations with regard to the mechanical properties of osseous tissues, elasticity and anisotropy of the patella have been paid due consideration. The present study being analytical, the problem is first formulated mathematically, and posed as a boundary value problem. Using Mellin transforms technique, the problem is reduced to solving a Fredholm integral equation which is treated numerically by employing Chebyshev quadrature formula. Numerical results are presented. It is suggested that the techniques used may also find application to engineering structures.

Type
Research Article
Information
Aeronautical Quarterly , Volume 34 , Issue 4 , November 1983 , pp. 303 - 313
Copyright
Copyright © Royal Aeronautical Society. 1983

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