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FE-implementation of plane strain gradient elasticity constitutive equations obtained by homogenization
Authors:Lutz Zybell  Uwe Mühlich  Meinhard Kuna
Institution:TU Bergakademie Freiberg, Institute of Mechanics and Fluid Dynamics, Lampadiusstr. 4, 09599 Freiberg
Abstract:This paper presents a plane strain gradient elasticity model together with a strength criterion based on the maximum hoop stress. It is developed by higher order homogenization based on a cylindrical RVE containing a void and is implemented as mixed–type finite element formulation into the FE–code Abaqus. Numerical simulations are performed in order to study the size effect related to the onset of failure of specimens of porous elastic material. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
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