In the present contribution a 3D homogenization technique, able to derive the overall constitutive response of a wide range of composite materials characterized by nonlinear behavior, is proposed. The developed procedure, based on the Transformation Field Analysis (TFA), allows to study the mechanical response of the typical representative volume element (RVE) of a heterogeneous nonlinear medium assuming a nonuniform distribution for the inelastic strain field in each nonlinear phase of the analyzed composite. In particular, a piecewise linear combination of analytical functions depending on the spatial variable is chosen in order to better represent the nonuniformity of the distribution of the inelastic strain. Two different procedures to solve the evolutive problem are proposed. In order to verify the efficiency of the developed 3D nonuniform TFA procedure, a numerical application is performed in which the results obtained by the proposed technique for a periodic composite made of elastic and plastic constituents are compared with the ones carried out adopting nonlinear finite element micromechanical analyses.

A 3D nonuniform TFA homogenization technique

MARFIA, Sonia;SACCO, Elio;SEPE, Valentina
2013

Abstract

In the present contribution a 3D homogenization technique, able to derive the overall constitutive response of a wide range of composite materials characterized by nonlinear behavior, is proposed. The developed procedure, based on the Transformation Field Analysis (TFA), allows to study the mechanical response of the typical representative volume element (RVE) of a heterogeneous nonlinear medium assuming a nonuniform distribution for the inelastic strain field in each nonlinear phase of the analyzed composite. In particular, a piecewise linear combination of analytical functions depending on the spatial variable is chosen in order to better represent the nonuniformity of the distribution of the inelastic strain. Two different procedures to solve the evolutive problem are proposed. In order to verify the efficiency of the developed 3D nonuniform TFA procedure, a numerical application is performed in which the results obtained by the proposed technique for a periodic composite made of elastic and plastic constituents are compared with the ones carried out adopting nonlinear finite element micromechanical analyses.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11580/27911
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