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Large plane deformations of thin elastic sheets of neo-Hookean material

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Zusammenfassung

Es werden grosse ebene Verformungen dünner elastischer Scheiben aus Neo-Hookeschem Material betrachtet und eine Methode der sukzessiven Substitutionen entwickelt, um Probleme im Rahmen der zweidimensionalen Theorie endlicher ebener Spannungszustände zu lösen. Die erste Näherung wird durch lineare Randwertprobleme für zwei harmonische Funktionen bestimmt, und sie wird asymptotisch angenähert für sehr grosse Dehnungen in der Ebene der Scheiben. Die zweite und die höheren Annäherungen werden durch Lösung Poissonscher Gleichungen gewonnen. Es werden verschiedene Beispiele behandelt, und für rotationssymmetrische Verformungen wird gute übereinstimmung zwischen den Näherungen und den exakten Lösungen gefunden.

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Author notes

  1. Felix S. Wong

    Present address: Agbabian-Jacobsen Associates, Los Angeles, California

Authors and Affiliations

  1. California Institute of Technology, Pasadena, California, USA

    Felix S. Wong & Richard T. Shield

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  1. Felix S. Wong
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  2. Richard T. Shield
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Wong, F.S., Shield, R.T. Large plane deformations of thin elastic sheets of neo-Hookean material. Journal of Applied Mathematics and Physics (ZAMP) 20, 176–199 (1969). https://doi.org/10.1007/BF01595559

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  • DOI: https://doi.org/10.1007/BF01595559

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