Periodic cellular materials with nonlinear elastic homogenized stress-strain response at small strains

Periodic cellular materials with nonlinear elastic homogenized stress-strain response at small strains

We investigate the effective stress-strain behavior of cellular elastomers, structured with a periodic pattern of elliptic holes by means of full scale simulations under small deformations. First, we show that the elastic response behaves non trivially with the pore geometry. In particular, we show that auxetic and anistropic responses arise for a broad range of parameters, when the microstruct...

Nonlinear elastic stress response in granular packings.

We study the nonlinear elastic response of a two-dimensional material to a localized boundary force, with the particular goal of understanding the differences observed between isotropic granular materials and those with hexagonal anisotropy. Corrections to the classical Boussinesq result for the stresses in an infinite half space of a linear, isotropic material are developed in a power series i...

From Damage to Delamination in Nonlinearly Elastic Materials at Small Strains

Damage of nonlinearly elastic materials at small strain – Existence and regularity results –

In this paper an existence result for energetic solutions of rate-independent damage processes is established and the temporal regularity of the solution is discussed. We consider a body consisting of a physically nonlinearly elastic material undergoing small deformations and partial damage. The present work is a generalization of [MiR06] concerning the properties of the stored elastic energy d...

High Stress Elastic Materials

This ongoing research project pertains to the development of a high strain to failure elastic rope structure, both theoretically and experimentally, for use in marine applications. Several methods have been investigated and will be discussed here, including a Poisson’s ratio, micro-machine, and linear textile structure approach. After some review, the differing Poisson’s ratio approach was temp...