Abstract
For plane deformations of an isotropic compressible hyperelastic material, the first Piola-Kirchoff stress potentials are shown to be a possible plane deformation for another material of the same type. An explicit formula connecting the strain-energy functions of the two materials is derived.
Zusammenfassung
Für Ebenedeformationen eines isotropisch zusammendrückbaren hyperelastischen Materials erweisen sich die ersten Piola-Kirchhoff-Stress-Potientale als eine mögliche Ebenedeformation eines anderen Materials desselben Typs. Eine explizite Formel, die die Deformationsenergie-Functionen der beiden Materialien verbindet, wird abgeleitet.
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Hill, J.M. On a duality of stress and deformation fields in finite elasticity. J Elasticity 3, 51–56 (1973). https://doi.org/10.1007/BF00045798
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DOI: https://doi.org/10.1007/BF00045798