This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

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 …

This paper proposes a new homogenization framework for magnetoelastic composites
accounting for the effect of magnetic dipole interactions, as well as finite strains. In addition …

This paper is concerned with the development of constitutive models for a class of
magnetoelastic composites consisting of stiff, aligned cylindrical fibers of a magnetizable …

The effective mechanical properties of composites are strongly influenced by the
morphology, volume fraction, and properties of the inclusion phase. Extensive theoretical …

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

In Part I, an exact solution was determined for the problem of the overall nonlinear elastic
response of Gaussian (or Neo-Hookean) rubber reinforced by a dilute isotropic distribution …

We investigate numerically via finite element (FE) simulations and analytically the nonlinear
behavior of a soft matrix comprising a large volume fraction (up to 55%) of monodisperse …

Abstract A lattice (or 'grillage') of elastic Rayleigh rods (possessing a distributed mass
density, together with rotational inertia) organized in a parallelepiped geometry can be …

In this paper, we study the interplay between macroscopic and microscopic instabilities in
3D periodic fiber reinforced composites undergoing large deformations. We employ the …