A nonlinear finite-element homogenization method for hyperelastic solids is presented, and a staggered algorithm that alternates single micro and macro Newton iterations is shown to be up to 2.6 times faster than the standard nested approach in the tested examples.
Computational micro–macro tran- sitions and overall moduli in the analysis of polycrystals at large strains
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A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm
A nonlinear finite-element homogenization method for hyperelastic solids is presented, and a staggered algorithm that alternates single micro and macro Newton iterations is shown to be up to 2.6 times faster than the standard nested approach in the tested examples.