46 citations · 148 across the 26 of their papers we have counts for
6 papers · 2 filters
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…
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…
Shear, pure and simple
Christian Thiel, Jendrik Voss, Robert J. Martin +1
In a 2012 article in the International Journal of Non-Linear Mechanics, Destrade et al. showed that for nonlinear elastic materials satisfying Truesdell's so-called empirical inequ…
Again anti-plane shear
Jendrik Voss, Herbert Baaser, Robert J. Martin +1
We reconsider anti-plane shear deformations of the form based on prior work of Knowles and relate the existence of anti-plane shear deformations…