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Computational approach for composite materials with coupled constitutive laws
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Journal Article
Computational approach for composite materials with coupled constitutive laws
2010
Overview
A numerical scheme based on fast Fourier transform is presented to compute the effective response and the local fields within a heterogeneous material which exhibits a coupled constitutive law. It consists in the iterative resolution of periodic coupled Lippmann–Schwinger equations. This approach is illustrated in the case of electroelastic composite materials. By using an augmented Lagrangian formulation, a simple iterative scheme relying on the uncoupled Green operators for the elastic and electrostatics problems is proposed. This computational framework, which allows to consider composite materials with an infinite contrast on the local properties, is assessed in the case of porous and fiber-reinforced piezoelectric materials.
Publisher
Springer Nature B.V
