Abstract
The Cauchy postulates are required for the formulation and proof of Cauchy's theorem for the existence of stress. The generalized postulates and theorem in the geometric setting of differentiable manifolds was considered in a previous paper. This note presents an inconsistency in one of the proposed postulates, the boundedness postulate, and corrects it by specifying a weaker requirement.
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Segev, R. A Correction of an Inconsistency in my Paper “Cauchy's Theorem on Manifolds”. Journal of Elasticity 63, 55–59 (2001). https://doi.org/10.1023/A:1013085312562
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DOI: https://doi.org/10.1023/A:1013085312562