Abstract
Homogenization formulae were developed for predicting the elastoplastic mechanical behavior of composite materials in a previous work. The nonlinear solution method for the finite element method makes it possible to compute the microscopic and the macroscopic deformations simultaneously, both of which reveal large deformations, and then accumulate the incremental solutions successively. The macroscopic deformation can be obtained by averaging the microscopic stress/strain state in each constituent, without a priori knowing an averaged stress-strain relation from experiments. Several numerical examples are presented to verify the formulation and to illustrate the three-dimensional nature in global-local simultaneous computation (G. -L. S. C.). The method is also applied to the analysis of interfacial damage of nonmetallic composite materials. The computational aspects of the nonlinear homogenization method are briefly discussed.
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