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Abstract
A multiphase hybrid-stress finite element method (MHSFEM) for microscopic modeling of randomly dispersed closer microstructures and macroscopic modeling of layered structures include adhesive layer of laminated composites is proposed in the work. The stress functions for each phase within the element are constructed taking into account the shape of phase interfaces. The traction reciprocity conditions on the phase-phase interfaces within the element are introduced into the element functional, which is derived based on the minimum complimentary energy principle, by the Lagrange multiplier method. By several numerical examples, the effectiveness and accuracy of the proposed MHSFEM is verified by comparing its results with those of conventional finite element method and those of Voronoi cell finite element method. The proposed method is certainly an effective way for the microscopic and macroscopic mechanical analysis of composite materials with lower computational costs.
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