Abstract
Knowles' theorem for anti-plane shear of compressible, homogeneous, isotropic elastic materials in finite elastostatics is used to determine some restrictions on a strain-energy density function characterizing materials for which two anti-plane shear problems of a circular tube are then solved exactly.
Resumé
Le theorème de Knowles pour le cisaillement anti-plane de matériaux compressibles, homogénes, isotropes, élastiques en élastostatique finie est utilisé afin de déterminer certaines restrictions sur un fonction-densité d'énergie de déformation caractérisant des matériaux pour lesquels deux problèmes de cisaillement anti-plan d'un tube circulaire sont alors résolus exactement.
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References
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Agarwal, V.K. On finite anti-plane shear for compressible elastic circular tube. J Elasticity 9, 311–319 (1979). https://doi.org/10.1007/BF00041101
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DOI: https://doi.org/10.1007/BF00041101