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.
|Journal||International Journal for Numerical Methods in Engineering|
|Publication status||E-pub ahead of print - 2016|
- Computational continua
- Computational homogenization
- Multi-scale model
- Representative volume element