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- W2021330666 abstract "In this paper we examine the combined extension and torsion of a compressible isotropic elastic cylinder of finite extent. The equilibrium equations are formulated in terms of the principal stretches and then applied to the special case of pure torsion superimposed on a uniform extension (an isochoric deformation). Explicit necessary and sufficient conditions on the strain-energy function for the material to support this deformation with vanishing traction on the lateral surfaces of the cylinder are obtained. Some strain-energy functions satisfying these conditions are considered, existing results are recovered as special cases and new results are obtained. We also point out how the strain-energy functions generated from the considered isochoric deformation considered (of a compressible material) can be used to generate energy functions and corresponding solutions for the incompressible theory." @default.
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- W2021330666 date "2002-08-01" @default.
- W2021330666 modified "2023-09-26" @default.
- W2021330666 title "On Extension and Torsion of a Compressible Elastic Circular Cylinder" @default.
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- W2021330666 doi "https://doi.org/10.1177/108128028476" @default.
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