Deformation and failure in cellular materials

Anthony J. C. Ladd, John H. Kinney, and Thomas M. Breunig
Phys. Rev. E 55, 3271 – Published 1 March 1997
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Abstract

An isotropic, three-dimensional, lattice-spring model is proposed to describe deformation and failure in heterogeneous materials. Young's moduli of samples of trabecular bone have been calculated, using images of the microstructure obtained from x-ray microtomography. An analysis of the stress distribution indicates that trabecular bone will most likely fail due to local tensile stresses, even when the macroscopic load is compressive. In the samples studied, there does not seem to be a homogenization length scale beyond which the material can be described by an effective medium theory.

    DOI:https://doi.org/10.1103/PhysRevE.55.3271

    ©1997 American Physical Society

    Authors & Affiliations

    Anthony J. C. Ladd and John H. Kinney

    • Lawrence Livermore National Laboratory, Livermore, California 94550

    Thomas M. Breunig

    • University of California San Francisco, San Francisco, California 94143

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    Issue

    Vol. 55, Iss. 3 — March 1997

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