The use of micromechanics in conjunction with homogenization theory allows for the
prediction of the effective mechanical properties of materials based on microstructural …

Large deformations of soft materials can give rise to the development of various elastic
instabilities. The phenomenon is associated with a sudden and dramatic change in structure …

This paper presents a new multi-scale method for the homogenization analysis of
hyperelastic solids undergoing finite strains. The key contribution is to use an incremental …

In this Note, we propose a new hyperelastic model for rubber elastic solids applicable over
the entire range of deformations. The underlying stored-energy function is a linear …

ABSTRACT A nonconcurrent multiscale homogenization method is proposed to compute the
response of structures made of heterogeneous hyperelastic materials. The method uses a …

For ductile solids with periodic microstructures (eg, honeycombs, fiber-reinforced
composites, cellular solids) which are loaded primarily in compression, their ultimate failure …

The response of a transversely isotropic fiber-reinforced composite made out of two
incompressible neo-Hookean phases undergoing finite deformations is considered. An …

This paper is devoted to the computational nonlinear stochastic homogenization of a
hyperelastic heterogeneous microstructure using a nonconcurrent multiscale approach. The …

The present work is an in-depth study of the connections between microstructural
instabilities and their macroscopic manifestations—as captured through the effective …

This paper is devoted to a computational stochastic multiscale analysis of nonlinear
structures made up of heterogeneous hyperelastic materials. At the microscale level, the …