Two scale response and damage modeling of composite materials

Authors:
P. Raghavan;S. Li;S. Ghosh
Affiliations:
Department of Mechanical Engineering, The Ohio State University, Columbus, OH;Department of Mechanical Engineering, The Ohio State University, Columbus, OH;Department of Mechanical Engineering, The Ohio State University, Columbus, OH
Venue:
Finite Elements in Analysis and Design - Special issue: The fifteenth annual Robert J. Melosh competition
Year:
2004

Citing 1
Cited 4

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Abstract

This paper presents an adaptive multi-level computational model that combines a conventional displacement-based finite element model with a microstructural Voronoi cell FEM (VCFEM) for multi-scale analysis of composite structures with non-uniform microstructural heterogeneities as obtained from optical or scanning electron micrographs. Three levels of hierarchy, with different resolutions, are introduced to overcome shortcomings posed by modeling and discretization errors. These are: (a) level-0 of pure macroscopic analysis; (b) level-1 of macro-micro coupled modeling for implementing switching criteria from macroscopic analyses to pure microscopic analyses; and (c) level-2 regions of pure microscopic modeling. An example of a double lap aluminum composite bonded joint with perfect interface is solved to demonstrate the ability of the multi-scale computational model in analyzing complex heterogeneous structures. For damaging materials, a continuum damage mechanics (CDM) model is developed for fiber-reinforced composites with interfacial debonding. The model is constructed from and calibrated with rigorous micromechanical analysis of the representative volume element using the VCFEM that is followed by homogenizing microscopic variables using asymptotic homogenization. The CDM results are compared with those obtained by homogenization of micromechanical analysis and the range of validity of homogenized solutions is identified.