Length scale effects in finite strain micromorphic linear isotropic elasticity: finite element analysis of three-dimensional cubical microindentation
作者： R A Regueiro , V Isbuga
关键词: Finite strain theory 、 Elasticity (economics) 、 Tangent 、 Momentum 、 Mathematical analysis 、 Materials science 、 Constitutive equation 、 Finite element method 、 Isotropy 、 Length scale 、 Structural engineering
摘要: A three-dimensional finite strain micromorphic materially linear isotropic elastic model is formulated in two ways for element implementation: (i) direct elasticity; and (ii) rate form with semi-implicit time integration. The based upon the elasticity proposed by Eringen Suhubi 1964. For (i), formulation, constitutive equations are calculated reference configuration, resulting stresses mapped to current configuration. (ii), integrated configuration using Truesdell objective stress rates. After formulating coupled weak form, balance of momentum first moment linearized construct consistent tangent solution Newton–Raphson method. Three-dimensional numerical examples analysed compare formulations standard ...
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