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Properties of the anisotropic elasticity tensor

Stephen C. Cowin
- 01 May 1989 - 
- Vol. 42, Iss: 2, pp 249-266
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This article is published in Quarterly Journal of Mechanics and Applied Mathematics.The article was published on 1989-05-01. It has received 121 citations till now. The article focuses on the topics: Linear elasticity & Elasticity (economics).

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Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture

TL;DR: The techniques developed here can be used to obtain a complete characterization of the mechanical properties of trabecular architecture and with the development of in vivo reconstruction techniques, even in vivo measurements will be possible.
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Symmetry classes for elasticity tensors

TL;DR: Harmonic and Cartan decompositions were used by as mentioned in this paper to prove that there are eight symmetry classes of elasticity tensors, and their results in apparent contradiction with this conclusion are discussed in a short history of the problem.
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The Closest Elastic Tensor of Arbitrary Symmetry to an Elasticity Tensor of Lower Symmetry

TL;DR: In this article, the closest tensors of higher symmetry classes are derived in explicit form for a given elasticity tensor of arbitrary symmetry, where the mathematical problem is to minimize the elastic length or distance between the given tensor and the closest elasticity Tensor of the specified symmetry.
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Relationships between bone morphology and bone elastic properties can be accurately quantified using high‐resolution computer reconstructions

TL;DR: It is concluded that volume fraction and fabric measures correlate highly with the apparent elastic properties of bone samples, provided the anisotropy and nonhomgoencity in the elastic Properties of the trabecular tissue itself have negligible effects on the apparent propertie.