The exponentiated Hencky energy's failure of the E$^+$-TSS inequalities

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 conjecture. The energy $W_{\rm eH}$ does not satisfy the E$^+$-TSS-inequalities. This is one of the constitutive issues investigated for exponentiated Hencky energies; the source does not provide a resolution of this assertion.