Existence and a priori bounds for the finite torsion solution for a class of general Blatz-Ko materials

Joseph E. Paullet, Debra A. Polignone

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Abstract

The boundary-value problem (BVP) resulting from the equations of nonlinear elastostatics for torsion of a circular cylinder for a class of general Blatz-Ko materials is considered. Using a topological shooting argument, the existence of a solution to this BVP is proven, and two-sided a priori bounds implying that the tube must contract radially are given. Previous studies have considered special cases, that is, slightly compressible materials or nearly isochoric deformations. The present results place no such restrictions on compressibility or strain.

Original languageEnglish (US)
Pages (from-to)315-326
Number of pages12
JournalMathematics and Mechanics of Solids
Volume1
Issue number3
DOIs
Publication statusPublished - Jan 1 1996

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials

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