Modeling of laminated composites with finite deformations by asymptotic homogenization method
Authors: Dimitrienko Yu.I., Gubareva E.A., Kolzhanova D.Yu.
Published in issue: #5(41)/2015
DOI: 10.18698/2308-6033-2015-5-1405
Category: Metallurgy and Science of Materials | Chapter: Powder Metallurgy and Composite Materials
The article covers a problem of elastic characteristic modeling for laminated composites with finite deformations. The problem is impotent for design of rubber-like and elastomer structures. A variant of asymptotic homogenization method is suggested for laminated elastic composites with finite deformations and periodical structures. Proposed by Yu. Dimitrienko, a universal representation of nonlinear constitutive relation for materials under finite deformations, is applied for composite model developed. Computational method for solution of nonlinear elasticity problem over periodicity cell of composite with finite deformation is suggested. The method is implemented in C++ program codes. The method allows to calculate an effective stress-strain diagrams in terms of averaged Piola-Kirchhoff deformation gradient for laminated composites with finite deformations. Examples of calculations demonstrate feasibility and efficiency of the method developed for prediction of elastic characteristic of laminated composites with finite deformations.
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