Introduction to Solid Mechanics by Jacob Lubliner & Panayiotis Papadopoulos

Author:Jacob Lubliner & Panayiotis Papadopoulos
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

It will be noted that in both isotropic solids and those with cubic symmetry, the symmetry condition C ij  = C ji holds for all i, j. It will be shown in Sect. 6.5 that this condition holds for all linearly elastic solids.

Cubically symmetric crystals form a special case of materials known as orthotropic, characterized by the fact that, with respect to a special set of axes, the relations between stress and strain are similar form to Eqs. (6.13) and (6.14), but with different values of E, ν and G for each relation. That is, the compliance matrix [C]−1 takes the form

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