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Patrizio Neff Jena Jeong Hamidréza Ramézani 《International Journal of Solids and Structures》2009,46(25-26):4261-4276
We present a micromechanically motivated form of the curvature energy in infinitesimal isotropic gradient elasticity. The basis is a homogenization/averaging scheme using a micro-randomness assumption imposed on a directional higher gradient interaction term. These directional interaction terms are matrix-valued allowing to apply the standard orthogonal Cartan Lie-algebra decomposition. Averaging over all (subgrid) directions leads to three quadratic curvature terms, which are conformally invariant when neglecting volumetric effects. Restricted to rotational inhomogeneities we motivate thereby a symmetric couple stress tensor in the infinitesimal indeterminate couple stress model of Koiter–Mindlin–Toupin-type. Relations are established to a novel conformally invariant linear Cosserat model. 相似文献
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