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Exact Solutions of Nonlinear Micropolar Elastic Theory for Compressible Solids.

Tipo de material: TextoTextoSeries ; In Recent Developments in the Theory of Shells. Springer, Cham., p.771-798, 2019Trabajos contenidos:
  • Zubov, L. M
  • Kolesnikov, A. M
  • Rudenko, O. V
Tema(s): Recursos en línea: Resumen: In this article we obtain exact solutions of finite inhomogeneous deformations of three-dimensional micropolar elastic bodies. We consider a model of the physically linear isotropic compressible material with six material parameters. The obtained solutions describe following types of finite deformations: cylindrical bending of a rectangular plate, straightening of a cylindrical sector, double cylindrical bending, pure bending of a circular cylinder sector, inflation and reversing of a hollow sphere. The results can be used to verify two-dimensional models of micropolar elastic shells.
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In this article we obtain exact solutions of finite inhomogeneous deformations of three-dimensional micropolar elastic bodies. We consider a model of the physically linear isotropic compressible material with six material parameters. The obtained solutions describe following types of finite deformations: cylindrical bending of a rectangular plate, straightening of a cylindrical sector, double cylindrical bending, pure bending of a circular cylinder sector, inflation and reversing of a hollow sphere. The results can be used to verify two-dimensional models of micropolar elastic shells.

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