A correction of an inconsistency in my paper "Cauchy's theorem on manifolds"

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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.

Original languageEnglish
Pages (from-to)55-59
Number of pages5
JournalJournal of Elasticity
Issue number1
StatePublished - 1 Apr 2001


  • Balance laws
  • Cauchy's theorem
  • Continuum mechanics
  • Differential forms
  • Forces
  • Manifolds
  • Stresses

ASJC Scopus subject areas

  • Materials Science (all)
  • Mechanics of Materials
  • Mechanical Engineering

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