46 citations · 148 across the 26 of their papers we have counts for
9 papers · 1 filter
The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity
Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba +2
We consider conformally invariant energies on the group of -matrices with positive determinant, i.e. $W\colon\operatorname{GL}^+(2)\to\mathbb…
Do we need Truesdell's empirical inequalities? On the coaxiality of stress and stretch
Christian Thiel, Jendrik Voss, Robert J. Martin +1
Truesdell's empirical inequalities are considered essential in various fields of nonlinear elasticity. However, they are often used merely as a sufficient criterion for semi-invert…
On the dispersion of waves for the linear thermoelastic relaxed micromorphic model
Aarti Khurana, Suman Bala, Hassam Khan +2
We present the complete set of constitutive relations and field equations for the linear thermoelastic relaxed micromorphic continuum and investigate its variants for wave propagat…
Low-and high-frequency Stoneley waves, reflection and transmission at a Cauchy/relaxed micromorphic interface
Alexios Aivaliotis, Ali Daouadji, Gabriele Barbagallo +3
In this paper we study the reflective properties of a 2D interface separating a homogeneous solid from a band-gap metamaterial by modeling it as an interface between a classical Ca…
Relaxed micromorphic model of transient wave propagation in anisotropic band-gap metastructures
Gabriele Barbagallo, Domenico Tallarico, Marco Valerio D'Agostino +3
In this paper, we show that the transient waveforms arising from several localised pulses in a micro-structured material can be reproduced by a corresponding generalised continuum…
Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics
Sebastian Owczarek, Ionel-Dumitrel Ghiba, Marco-Valerio d'Agostino +1
We study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of meta-materials…