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A family of solutions describing plane strain cylindrical inflation in finite compressible elasticity

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Abstract

Within the context of finite, compressible, isotropic elasticity, a family of solutions describing plane strain cylindrical inflation of cylindrical shells is obtained for a class of materials that includes both the harmonic and Varga materials. Additionally it is shown that the class of materials chsen is the largest class of materials for which the family of solutions is possible.

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References

  1. F. John, Plane strain solutions for a perfectly elastic material of harmonic type. Commun. Pure Appl. Math. 13 (1960) 239–96.

    Google Scholar 

  2. R.W. Ogden and D.A. Isherwood, Solution of some finite plane strain problems for compressible elastic solids. Q. J. Mech. Appl. Math. 31 (1978) 219–49.

    Google Scholar 

  3. A.H. Jafari, R. Abeyaratne, and C.O. Horgan, The finite deformation of a pressurized circular tube for a class of compressible materials. ZAMP 35 (1984) 227–46.

    Google Scholar 

  4. D.T. Chung, C.O. Horgan, and R. Abeyaratne, The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials. Int. J. Solids Struct. 22 (1986) 1557–70.

    Google Scholar 

  5. M.M. Carroll, Finite strain solutions in compressible isotropic elasticity. J. Elasticity 20 (1988) 65–92.

    Google Scholar 

  6. M.M. Aron, On a class of plane radial deformations of compressible nonlinearly elastic solids. IMA J. Appl. Math. 52 (1994) 289–296.

    Google Scholar 

  7. J.M. Hill, Cylindrical and spherical inflation in compressible finite elasticity. IMA J. Appl. Math. 50 (1993) 195–201.

    Google Scholar 

  8. D.M. Haughton, Inflation and bifurcation of thick-walled compressible elastic spherical shells. IMA J. Appl. Math. 39 (1987) 259–72.

    Google Scholar 

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Murphy, J.G. A family of solutions describing plane strain cylindrical inflation in finite compressible elasticity. J Elasticity 45, 1–11 (1996). https://doi.org/10.1007/BF00042466

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  • DOI: https://doi.org/10.1007/BF00042466

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