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Section 8
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Homogenisation of random composites via the multiscale finite-element method
Article first published online: 1 DEC 2004
DOI: 10.1002/pamm.200410144
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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How to Cite
Ilić, S. and Hackl, K. (2004), Homogenisation of random composites via the multiscale finite-element method. Proc. Appl. Math. Mech., 4: 326–327. doi: 10.1002/pamm.200410144
Publication History
- Issue published online: 1 DEC 2004
- Article first published online: 1 DEC 2004
- Abstract
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Abstract
The transition between the chosen microstructure and microvariables and the material properties on the macrolevel is always a sensitive point in the theory of homogenisation. In this talk we will observe the transfer of data between the scales based on the multiscale finite element method where in each Gauss point of the macromesh a micromesh is attached. For a given deformation gradient provided from the macroscale one calculates microfluctuations satisfying periodic boundary conditions and from those the effective first Piola-Kirchhoff stress tensor for each Gauss point. The latter provides a possibility to calculate the elasticity tensor on the macrolevel. We study a microstructure containing elliptical cracks of random aspect ratio and orientation. The results based on such procedure show the dependence of the macrovariables on the crack ellipticity. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)