65 citations · 75 across the 3 of their papers we have counts for
5 papers
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…
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…
On the convexity of nonlinear elastic energies in the right Cauchy-Green tensor
David Yang Gao, Patrizio Neff, Ionel Roventa +1
We present a sufficient condition under which a weak solution of the Euler-Lagrange equations in nonlinear elasticity is already a global minimizer of the corresponding elastic ene…
The sum of squared logarithms inequality in arbitrary dimensions
Lev Borisov, Patrizio Neff, Suvrit Sra +1
We prove the \emph{sum of squared logarithms inequality} (SSLI) which states that for nonnegative vectors whose elementary symmetric polynomials satisfy $e_…
On the sum of squared logarithms inequality and related inequalities
Fozi M. Dannan, Patrizio Neff, Christian Thiel
We consider the sum of squared logarithms inequality and investigate possible connections with the theory of majorization. We also discuss alternative sufficient conditions on two…