Controlling the stress-strain inhomogeneities in axially sheared and radially heated hollow rubber tubes via functional grading

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Abstract

Functional grading of rubber-like materials is suggested as a means of controlling their mechanical response within the context of finite thermoelasticity. To illustrate the concept of functional grading, we consider the axial shearing deformation of a radially heated, isotropic, incompressible, hollow rubber tube. The temperature stiffening, the strain stiffening, and the radially varying shear modulus of rubber tubes are modeled here by generalizing the Neo-Hookean and the Gent models. Local energy and momentum balance equations are solved to obtain the temperature and stress-strain fields in the sheared tube. The shear strain becomes highly inhomogeneous with an increase in temperature gradient, whereas functional grading of the tube can perfectly homogenize the strain. This paper indicates the potential of functionally grading rubbers to control their mechanical response in thermally hostile environments.

Original languageEnglish (US)
Pages (from-to)257-266
Number of pages10
JournalMechanics Research Communications
Volume30
Issue number3
DOIs
StatePublished - Jan 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • Axial shearing
  • Finite thermoelasticity
  • Functional grading
  • Material optimization
  • Rubber tube

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