کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
279421 | 1430325 | 2009 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Subgrid interaction and micro-randomness – Novel invariance requirements in infinitesimal gradient elasticity Subgrid interaction and micro-randomness – Novel invariance requirements in infinitesimal gradient elasticity](/preview/png/279421.png)
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.
Journal: International Journal of Solids and Structures - Volume 46, Issues 25–26, 15 December 2009, Pages 4261–4276