Simple constitutive model for a cortical bone

Krajcinovic, Dusan; Trafimow, Jordan; Sumarac, Dragoslav

Affiliations

¹Department of Civil Engineering, Mechanics and Metallurgy, University of Illinois at Chicago

²Loyola University, Maywood, IL. U.S.A.

Abstract

This short study presents a simple, one-dimensional constitutive model for the cortical bone with haversian structure. The model is developed within the general framework of the continuum damage theory. The kinetic equation is derived (rather than assumed a priori) through consideration of the irreversible changes of the mesostructure. As a consequence the analytical results closely approximate experimental measurements even though the theory does not introduce a single experimentally unidentifiable material parameter.

Links

DOI: 10.1016/0021-9290(87)90057-1

PubMed: 3654677

WoS: A1987J837300006

History

Received: 1986-05-23

Revised: 1986-11-25

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Cited By (23)

Year	Entry
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1996	Courtney AC, Hayes WC, Gibson LJ. Age-related differences in post-yield damage in human cortical bone: experiment and model. J Biomech. November 1996;29(11):1463-1471.
1996	Zysset PK, Curnier A. A 3D damage model for trabecular bone based on fabric tensors. J Biomech. December 1996;29(12):1549-1558.
2010	Luo Q, Leng H, Acuna R, Dong XN, Rong Q, Wang X. Constitutive relationship of tissue behavior with damage accumulation of human cortical bone. J Biomech. 2010;43(12):2356-2361.
1999	Fondrk MT, Bahniuk EH, Davy DT. A damage model for nonlinear tensile behavior of cortical bone. J Biomech Eng. October 1999;121(5):533-541.
2020	Sharma NK, Sharma S, Rathi A, Kumar A, Saini KV, Sarker MD, Naghieh S, Ning L, Chen X. Micromechanisms of cortical bone failure under different loading conditions. J Biomech Eng. September 2020;142(9):094501.
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