Parametric constitutive models of fiber-matrix composites

This is a home page devoted to geometric and mechanical modelling of fiber-matrix composites. The objective is to express anisotropic elastic constants of composite (treated as continuum) as direct functions of microstructure parameters.

The main idea of the parametric constitutive model presented here consists in computation of the full set of homogenized material constants for a sufficiently large number of microstructures (defined by different value sets of microstructure parameters) and construction of a data base of composite material constants. Then, elastic constants of a composite characterized by arbitrary values of microstructure parameters can be determined, without additional costly FE analysis, by merely an interpolation of the data base results. Besides, sensitivity of the composite material constants with respect to the parameters can be easily computed, too.

The material constants for a given microstructure parameter set have been computed by FE analysis of a repeatable RVE for six different load cases. Comparison of averaged stresses and strains (6-component arrays) allows to determine the full 6x6 elastic stiffness matrix of the composite, and further — the homogenized engineering material constants.

See details of formulation and numerical results for

Page created and maintained by Piotr Kowalczyk ( Piotr.Kowalczyk(-at-)ippt.pan.pl )

My Institute, [SPMKM]

My Department

Last updated: July 9, 2013