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Relaxed loading conditions for higher order homogenisation approaches |
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| Authors: | Ralf Jänicke David Uribe Oscar E Ruiz Holger Steeb |
| Institution: | 1. Mechanics - Continuum Mechanics, Ruhr-University Bochum, Germany;2. Mechanics - Continuum Mechanics, Ruhr-University Bochum, Germany
CAD/CAM/CAE Laboratory, EAFIT University, Medellín, Colombia;3. CAD/CAM/CAE Laboratory, EAFIT University, Medellín, Colombia |
| Abstract: | The present paper deals with the formulation of minimal loading conditions for the application of numerical homogenisation techniques, namely the FE2 methodology. Based on the set of volume averaging rules connecting the heterogeneous micro and the homogeneous macro scale, the minimal constraints on the deformation of a micro volume are derived for a classical Cauchy continuum as well as for a micromorphic continuum theory. For both cases, numerical studies are included highlighting the main aspects of the proposed procedure within the context of small deformations. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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