A new I1-based hyperelastic model for rubber elastic materials

O Lopez-Pamies - Comptes Rendus Mecanique, 2010 - Elsevier
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 …

Homogenization-based constitutive models for magnetorheological elastomers at finite strain

PP Castañeda, E Galipeau - Journal of the Mechanics and Physics of Solids, 2011 - Elsevier
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 …

A finite-strain constitutive model for magnetorheological elastomers: magnetic torques and fiber rotations

E Galipeau, PP Castañeda - Journal of the Mechanics and Physics of Solids, 2013 - Elsevier
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 …

A general result for the magnetoelastic response of isotropic suspensions of iron and ferrofluid particles in rubber, with applications to spherical and cylindrical …

V Lefèvre, K Danas, O Lopez-Pamies - … of the Mechanics and Physics of …, 2017 - Elsevier
This paper puts forth an approximate solution for the effective free-energy function
describing the homogenized (or macroscopic) magnetoelastic response of …

Dynamics of prestressed elastic lattices: Homogenization, instabilities, and strain localization

G Bordiga, L Cabras, A Piccolroaz, D Bigoni - Journal of the Mechanics and …, 2021 - Elsevier
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 …

Microscopic and macroscopic instabilities in hyperelastic fiber composites

V Slesarenko, S Rudykh - Journal of the Mechanics and Physics of Solids, 2017 - Elsevier
In this paper, we study the interplay between macroscopic and microscopic instabilities in
3D periodic fiber reinforced composites undergoing large deformations. We employ the …

Microscopic and macroscopic instabilities in finitely strained porous elastomers

JC Michel, O Lopez-Pamies, PP Castañeda… - Journal of the …, 2007 - Elsevier
The present work is an in-depth study of the connections between microstructural
instabilities and their macroscopic manifestations—as captured through the effective …

A multilevel computational strategy for handling microscopic and macroscopic instabilities

S Nezamabadi, J Yvonnet, H Zahrouni… - Computer Methods in …, 2009 - Elsevier
This paper presents a numerical technique to deal with instability phenomena in the context
of heterogeneous materials where buckling may occur at both macroscopic and/or …

On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations: I—Theory

O Lopez-Pamies, PP Castañeda - Journal of the Mechanics and Physics of …, 2006 - Elsevier
This work presents an analytical framework for determining the overall constitutive response
of elastomers that are reinforced by rigid or compliant fibers, and are subjected to finite …

[HTML][HTML] Magnetoactive elastomers with periodic and random microstructures

E Galipeau, S Rudykh, G Debotton… - International journal of …, 2014 - Elsevier
We investigate the behavior of magnetoactive elastomers (MAEs) with periodic and random
distributions of circular and elliptical fibers. For the MAEs with periodic microstructures, we …