Summary
In this work one developes the body tensor formalism for homogeneous, isotropic elastic materials. This formalism is general and not limited to small deformations. One derives the constitutive equation which relates the stress to the strain with the help of the two Lamé coefficients and the third order elastic constants.
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Sachs, A., Celikkol, B. & Freed, A. Body tensor formalism in finite deformation elasticity part I: Description and constitutive equation. Acta Mechanica 78, 33–37 (1989). https://doi.org/10.1007/BF01173997
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DOI: https://doi.org/10.1007/BF01173997