FINITE DEFORMATIONS UNDER PRESSURIZATION IN AN INFINITELY LONG, THICK-WALLED, NONLINEARLY VISCOELASTIC CYLINDER IDEALLY BONDED TO A THIN ELASTIC CASE.

Abstract

A constitutive equation for a nonlinearly viscoelastic, incompressible, Mooney-Voigt material is developed. Use is made of the equation to arrive at a nonlinear differential equation for the quasistatic finite-deformational response under internal pressurization of an infinitely long, thick cylinder of a nonlinearly viscoelastic material bonded to a linearly elastic thin case. Careful mathematical analysis of the differential equation is carried out. The equation is solved numerically for step and ramp pressure programs for a realistic set of data and the results are compared with those of the corresponding linearized program. Several peculiarities of the results of the nonlinear theory are discussed at length. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0625219

Entities

People

  • Constantine Dafermos
  • Ramesh N. Vaishnav

Organizations

  • The Catholic University of America

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Constitutive Equations
  • Differential Equations
  • Equations
  • Materials
  • Mathematical Analysis
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Pressurization
  • Real Variables
  • Theorems

Fields of Study

  • Mathematics

Readers

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