Crack Propagation in the Human Bone. Mode I of Fracture-Reference-Cited by-同舟云学术

Crack Propagation in the Human Bone. Mode I of Fracture

Published:2018-07-01 Issue:2 Volume:26 Page:59-70
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Craciun E. M.¹,Rabaea A.²,Popa M. F.¹,Mihailov C. I.¹

Affiliation:

1. Ovidius University of Constanta, Forensic County Service, Zmeurei Alley, Constanta , Romania

2. Technical University of Cluj-Napoca, N.U.C.B.M., Cluj-Napoca , Romania

Abstract

Abstract The problem of crack propagation in human bone is studied. We for- mulate and solve the mathematical problem for the pre-stressed crack in Mode I of classical fracture. Using the boundary conditions on the crack faces in the bone, regarded as an elastic composite material, we solve our Riemann-Hilbert problem. Using generalized Sih's strain energy density generalized and maximum stress criteria we find the direction of the crack path in Iliac bone, regarded as a pre-stressed orthotropic composite.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2018-0018

Reference17 articles.

1. [1] Altenbach, H., Altenbach, J.W. and Kissing, W., Mechanics of Composites Structural Elements, Springer, 200410.1007/978-3-662-08589-9

2. [2] Argani, L., Bigoni, D., Capuani, D. and Movchan, N.V., Cones of localized shear strain in incompressible elasticity with prestress: Green' s function and integral representations, Proc. R. Soc. A, 470(2014), pp. 01-17

3. [3] Capuani, D., Bigoni, D. and Brun, M., Integral representations at the bound- ary for Stokes ow and related symmetric Galerkin formulation, Arch. Mech., 2005, 57(5)(2005), pp. 363-385

4. [4] Cowin, S.C. et all, Properties of bone in Handbook of Bioengineering, McGraw- Hill, New York, 1987

5. [5] Craciun, E.M., Soos, E., Interaction of two unequal cracks in a prestressed fiber reinforced composite, Int. J. of Fracture 94(1998), pp. 137-159

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