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

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

*この研究の対応する著者

研究成果: Article査読

25 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)61-72
ページ数12
ジャーナルInternational Journal of Non-Linear Mechanics
22
1
DOI
出版ステータスPublished - 1987
外部発表はい

ASJC Scopus subject areas

  • 材料力学
  • 機械工学
  • 応用数学

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