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arXiv · 1608.05247

Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition

Patrizio Neff·L. Angela Mihai
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Abstract

In this note, we show that the Cauchy stress tensor $σ$ in nonlinear elasticity is injective along rank-one connected lines provided that the constitutive law is strictly rank-one convex. This means that $σ(F+ξ\otimes η)=σ(F)$ implies $ξ\otimes η=0$ under strict rank-one convexity.

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Patrizio Neff, L. Angela Mihai. 2016-10-28. Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition. https://doi.org/10.1007/s10659-016-9609-y

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