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Adaptive Multi-Scale Computational Modeling of Composite Materials

P. Raghavan1, S. Ghosh2

Graduate Research Associate
Professor, Department of Mechanical Engineering, The Ohio State University, Columbus, Ohio, USA

Computer Modeling in Engineering & Sciences 2004, 5(2), 151-170.


This paper presents an adaptive multi-level computational model that combines a conventional displacement based finite element model with a microstructural Voronoi cell finite element model 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 in this model to overcome shortcomings posed by modeling and discretization errors. Among the three levels are: (a) level-0 of pure macroscopic analysis; (b) level-1 of macro-micro coupled modeling, used for signaling the switch over from macroscopic analyses to pure microscopic analyses; and (c) level-2 regions of pure microscopic modeling. The adaptive Voronoi cell finite element model is utilized effectively for analysis of extended microstructural regions with high efficiency and accuracy. Identification of statistically equivalent RVE (SERVE) for evaluating the effective properties are made through the use of correlation functions for different variables. Upon determination of SERVE's for actual microstructures, numerical examples of a composite plate and a composite laminate are solved to demonstrate the ability of the multi-scale computational model in analyzing complex heterogeneous structures.


Cite This Article

APA Style
Raghavan, P., Ghosh, S. (2004). Adaptive multi-scale computational modeling of composite materials. Computer Modeling in Engineering & Sciences, 5(2), 151-170.
Vancouver Style
Raghavan P, Ghosh S. Adaptive multi-scale computational modeling of composite materials. Comput Model Eng Sci. 2004;5(2):151-170
IEEE Style
P. Raghavan and S. Ghosh, "Adaptive Multi-Scale Computational Modeling of Composite Materials," Comput. Model. Eng. Sci., vol. 5, no. 2, pp. 151-170. 2004.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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