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Partial solutions of finite elasticity — Plane deformations

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Abstract

For plane deformations of isotropic incompressible elastic materials new reduced forms of the equilibrium equations are given. From these equations new exact solutions are deduced for the Mooney material. These solutions are shown to be possible approximate solutions to a number of mixed boundary value problems of finite elasticity.

Zusammenfassung

Neue reduzierte Formen von Gleichgewichtsgleichungen für ebene Deformationen von isotropischen, unzusammendrück baren, elastischen Materialien werden gezeigt. Von diesen Gleichungen werden neue, exakte Lösungen für das Mooney-Material abgeleitet. Diese Lösungen erweisen sich als mögliche ungefähre Lösungen für eine Anzahl von gemischten Grenzwertproblemen von begrenzter Elastizität.

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References

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Authors and Affiliations

  1. Dept. of Mathematics and Physics, Darling Downs Institute of Advanced Education, Toowoomba, Queensland, Australia

    James M. Hill

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  1. James M. Hill
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Hill, J.M. Partial solutions of finite elasticity — Plane deformations. Journal of Applied Mathematics and Physics (ZAMP) 24, 401–408 (1973). https://doi.org/10.1007/BF01595205

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  • DOI: https://doi.org/10.1007/BF01595205

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