Elastic Symmetry Restrictions from Structural Gradients
In a continuum model for a material with structural gradient inhomogenieties there are restrictions on the type of elastic symmetry. It is shown that, if the material symmetry and the structural gradient are determined on the same scale for a linearly elastic material, then the only linear elastic symmetries possible for gradient materials are the trigonal, monoclinic and triclinic symmetries. The key point is that, on the same scale, the normal to a plane of symmetry and a material structural gradient are incompatible unless they are perpendicular. This incompatibility restricts the type of linear elastic symmetries possible for gradient materials to the trigonal, monoclinic and triclinic symmetries.
KeywordsMirror Symmetry Material Symmetry Representative Volume Element Stress Concentration Factor Elasticity Tensor
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