A new multi-scale scheme for modeling heterogeneous incompressible hyperelastic materials

Karamnejad, A.; Sluys, Lambertus J.

A new multi-scale scheme for modeling heterogeneous incompressible hyperelastic materials

Journal article (2016)

Authors

A. Karamnejad Applied Mechanics -

Lambertus J. Sluys Applied Mechanics -

Research Group

Applied Mechanics () (TU Delft)

Hyperelastic Representative volume element Multi-scale model Computational homogenization Computational continua

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Published Date

2016

Language

English

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Faculty

Civil Engineering & Geosciences

Department

Materials- Mechanics- Management & Design

Research Group

Applied Mechanics

Abstract

A computational homogenization scheme is developed to model heterogeneous hyperelastic materials undergoing large deformations. The homogenization scheme is based on a so-called computational continua formulation in which the macro-scale model is assumed to consist of disjoint unit cells. This formulation adds no higher-order boundary conditions and extra degrees of freedom to the problem. A computational procedure is presented to calculate the macroscopic quantities from the solution of the representative volume element boundary value problem. The proposed homogenization scheme is verified against a direct numerical simulation. It is also shown that the computational cost of the proposed model is lower than that of standard homogenization schemes.