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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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References

1 Bruck Kan, R. Introduction to Human Anatomy. Harper and Row Publishers, New York, 1979 Google Scholar
2 Sweeny, A.W., Kroon, R.P. and Byers, R.K. Paper No. 65-WA/HUF - 7 ASME, New York, 1965 Google Scholar
3 Hermann, G. and Liebowitz, H. Mechanics of bone fracture, in Fracture Vol. VII, Ed. Liebowitz, H., Academic Press, New York, 1972 Google Scholar
4 Piekarski, K. Fracture of bone. J. Appl. Phys., Vol. 41, pp 215-223, 1970 Google Scholar
5 Pope, M.H. and Outwater, J.O. The fracture characteristics of bone substance. J. Biomech., Vol. 5, pp 457-465, 1972 CrossRefGoogle ScholarPubMed
6 Dempster, W.T. and Liddicoat, R.T. Compact bone as a non-isotropic material. Am. J. Anat., Vol. 91, pp 331-362, 1952 CrossRefGoogle ScholarPubMed
7 Reilley, D.T., an Burstein, A.H. and Frankel, A.H. The elastic modulus of bone. J. Biomech., Vol. 7, pp 271-275, 1974 Google Scholar
8 Vayo, H.W. and Ghista, D.N. Wave propagation in bone media. Bull. Math. Biophy., Vol. 33, pp 463-479, 1971 Google Scholar
9 Saha, S. Anisotropie analysis of bone, some two dimensional problems. J. Biomech., Vol. 6, pp 641-650, 1973 Google Scholar
10 Misra, J.C. and Murty, V.V.T.N. Stress concentration around cracks in long bones. Fors. im. Wee., Vol. 47, pp 37-40, 1981 Google Scholar
11 Misra, J.C. and Murty, V.V.T.N. A study on the stress-field in the vicinity of a crack in the cranial bone. Medical and Life Science Engineering (In Press), 1981 Google Scholar
12 Misra, J.C. and Murty, V.V.T.N. Surface remodelling of bones induced by intra-medullary nailing. Biomedizinshe Technische/Biomedical Engineering (In Press), 1981 Google Scholar
13 Lang, S.B. Elastic coefficients for animal bones. Science, Vol. 165, pp 287-288, 1969 Google Scholar
14 Davies, D.V. and Davies, F. (Eds) Gray’s Anatomy, Descriptive and Applied, 33rd edition, Longman, Green and Co. Ltd., 1962 Google Scholar