Partial solutions of finite elasticity-axially symmetric deformations

Zeitschrift für angewandte Mathematik und Physik - Tập 24 - Trang 409-418 - 1973
James M. Hill1
1Dept. of Mathematics and Physics, Darling Downs Institute of Advanced Education, Toowoomba, Australia

Tóm tắt

For axially symmetric deformations of isotropic incompressible hyperelastic materials new reduced forms of the equilibrium equations are given. For the neo-Hookean and extreme-Mooney materials these equations are shown to admit exact solutions expressible in terms of Bessel functions of order zero. These solutions can be rendered as approximate solutions of problems involving the large axially symmetric deformations of circular discs containing a concentric circular hole.

Tài liệu tham khảo

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