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On the skew-symmetric character of the couple-stress tensor

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arxiv 1303.3569 v2 pith:ZLWV53RO submitted 2013-03-14 physics.gen-ph

On the skew-symmetric character of the couple-stress tensor

classification physics.gen-ph
keywords couple-stresstensorcharacterskew-symmetricanalysisargumentscannotconsequently
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, the skew-symmetric character of the couple-stress tensor is established as the result of arguments from tensor analysis. Consequently, the couple-stress pseudo-tensor has a true vectorial character. The fundamental step in this development is that the isotropic couple-stress tensor cannot exist.

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