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Elastic constants of cellular structures

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  • Ladd, Anthony J.C.
  • Kinney, John H.

Abstract

Lattice models for calculating the elastic properties of cellular structures are described; on small scales the elastic constants are isotropic, both in two and three dimensions. Stresses are transmitted by harmonic springs that connect the nodes surrounding each volume element. The force constants of the springs are determined by the local elastic stiffness, which can vary from element to element. The model was tested by comparing the elastic constants of periodic two-dimensional microstructures with analytic results. Then it was applied to calculations of the elastic constants of samples of human trabecular bone, using images of the microstructure determined by X-ray transmission microscopy.

Suggested Citation

  • Ladd, Anthony J.C. & Kinney, John H., 1997. "Elastic constants of cellular structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(1), pages 349-360.
    • Handle: RePEc:eee:phsmap:v:240:y:1997:i:1:p:349-360
    DOI: 10.1016/S0378-4371(97)00158-1
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    References listed on IDEAS

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    1. Lieberman, Offer & Ullah, Aman & Breunig, Robert, 1997. "On the Bias of Standard Errors of the LS Residual under Nonnormal Errors—Solution," Econometric Theory, Cambridge University Press, vol. 13(06), pages 896-897, December.
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