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More precisely, we require for \\begin{equation*} \\frac{{\\rm D}^{\\circ}}{{\\rm D} t}[B] = \\mathbb{A}^{\\circ}(B).D \\end{equation*} that $\\mathbb{A}^{\\circ}(B)$ is positive definite. Here, $B = F \\, F^T$ is the left Cauchy-Green tensor, $\\frac{{\\rm D}^{\\circ}}{{\\rm D}t}$ is a specific objective corotational rate, $D = {\\rm sym} \\, {\\rm D} v$ is the Eulerian stretching and $\\mathbb{A}^{\\circ}(B)$ is the corresponding induced fourth order tangent stiffness tensor. 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