Finite deformation of a circular elastic membrane containing a concentric rigid inclusion

Tayfun E. Tezduyar, L. T. Wheeler, L. Graux

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

Results are reported for the axisymmetric response of an initially flat annular membrane to transverse deflections of a rigid inclusion centered within the membrane. The membrane material is assumed to behave elastically in accordance with the Mooney-Rivlin constitutive law. The response shows a dramatic change in features with variations in one of the two Mooney-Rivlin parameters. Corresponding to negative values of this parameter, the membrane wrinkles for sufficiently high loads, whereas for positive values and large enough loads, it assumes an hourglass profile without wrinkling. For the case when this parameter vanishes, in which case it is of the neo-Hookean type, the load may be increased indefinitely without causing the membrane to wrinkle or go into an hourglass profile. The non-linear system of first-order differential equations governing the problem is solved by a predictor/multi-corrector integration method.

Original languageEnglish
Pages (from-to)61-72
Number of pages12
JournalInternational Journal of Non-Linear Mechanics
Volume22
Issue number1
DOIs
Publication statusPublished - 1987
Externally publishedYes

Fingerprint

Finite Deformation
Concentric
Membrane
Inclusion
inclusions
membranes
Membranes
Wrinkling
wrinkling
Corrector
Constitutive Law
First order differential equation
profiles
nonlinear systems
Deflection
Nonlinear systems
deflection
Predictors
Vanish
Differential equations

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics
  • Engineering(all)

Cite this

Finite deformation of a circular elastic membrane containing a concentric rigid inclusion. / Tezduyar, Tayfun E.; Wheeler, L. T.; Graux, L.

In: International Journal of Non-Linear Mechanics, Vol. 22, No. 1, 1987, p. 61-72.

Research output: Contribution to journalArticle

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