7 problems

Let $\boldsymbol{\upsigma}=\widehat{\boldsymbol{\upsigma}}(\log\mathbf{V})$, where $\mathbf{V}$ is the left stretch tensor, and consider the true-stress-true-strain monotonicity co…

Chain-rule conjecture. Under this assumption, the objective rate $\frac{\mathrm{D}^{\sharp}}{\mathrm{D}t}$ is corotational. The claim characterizes corotational stress rates among…

Positive-corotational-rate conjecture. The equivalence is conjectured to hold for every such rate:

Corotational stability for the Green–Naghdi rate. The following equivalence is conjectured:

Corotational stability characterization. This characterization is conjectured to hold for a large class of reasonable corotational rates: the stability condition is equivalent to s…

Let $\mathcal{E}: \operatorname{Sym}^{++}(3) \to \operatorname{Sym}(3)$ be a spatial strain tensor with strongly monotone scale function $e: \mathbb{R}^+ \to \mathbb{R}$. For a cor…

Let $W_{\rm eH}$ denote the exponentiated Hencky-logarithmic strain energy, and let E$^+$-TSS denote the strict tension–tension stress inequalities. The exponentiated Hencky energy…