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An attempt to separate elastic strain energy density of linear elastic anisotropic materials based on strains considerations

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Abstract

A promising new effort toward the decomposition of the elastic strain energy density of linear elastic anisotropic materials into a dilatational and a distortional part is presented. By assuming that volume changes must keep the material symmetries unchanged, a new physical perspective is presented and interesting definitions are drawn. This new perspective necessitates the introduction of a strain parameter m characteristic of the material’s anisotropy. This strain parameter besides easing the calculation of the dilatational and distortional energetic terms additionally accounts for the directional sensitivity of anisotropic materials.

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Authors and Affiliations

  1. Department of Mechanics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, 15773, Athens, Greece

    N. P. Andrianopoulos & I. T. Dernikas

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  1. N. P. Andrianopoulos
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  2. I. T. Dernikas
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Correspondence to N. P. Andrianopoulos.

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Andrianopoulos, N.P., Dernikas, I.T. An attempt to separate elastic strain energy density of linear elastic anisotropic materials based on strains considerations. Acta Mech 224, 1879–1885 (2013). https://doi.org/10.1007/s00707-013-0866-6

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  • DOI: https://doi.org/10.1007/s00707-013-0866-6

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