Abstract
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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The research was supported by Russian Foundation for Basic Research (grant 16-08-00802 A).
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Zubov, L.M., Kolesnikov, A.M., Rudenko, O.V. (2019). Exact Solutions of Nonlinear Micropolar Elastic Theory for Compressible Solids. In: Altenbach, H., Chróścielewski, J., Eremeyev, V., Wiśniewski, K. (eds) Recent Developments in the Theory of Shells . Advanced Structured Materials, vol 110. Springer, Cham. https://doi.org/10.1007/978-3-030-17747-8_37
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DOI: https://doi.org/10.1007/978-3-030-17747-8_37
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