Vol. 3, No. 1, 2008

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ISSN: 1559-3959
On the elastic moduli and compliances of transversely isotropic and orthotropic materials

Vlado A. Lubarda and Michelle C. Chen

Vol. 3 (2008), No. 1, 153–171
Abstract

The relationships between the elastic moduli and compliances of transversely isotropic and orthotropic materials, which correspond to different appealing sets of linearly independent fourth-order base tensors used to cast the elastic moduli and compliances tensors, are derived by performing explicit inversions of the involved fourth-order tensors. The deduced sets of elastic constants are related to each other and to common engineering constants expressed in the Voigt notation with respect to the coordinate axes aligned along the directions orthogonal to the planes of material symmetry. The results are applied to a transversely isotropic monocrystalline zinc and an orthotropic human femural bone.

Keywords
algebra of tensors, elastic constants, human femur, orthotropic materials, transverse isotropy, zinc
Milestones
Received: 19 March 2007
Revised: 8 June 2007
Accepted: 11 June 2007
Published: 11 March 2008
Authors
Vlado A. Lubarda
Department of Mechanical and Aerospace Engineering
University of California, San Diego
9500 Gilman Drive
La Jolla, CA 92093-0411
United States
Michelle C. Chen
Department of Structural Engineering
University of California, San Diego
9500 Gilman Drive
La Jolla, CA 92093-0085
United States