This article is cited in 2 papers

Modeling of nonlinear antiplane strain of a cylindrical body

V. D. Bondar'

Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: Antiplane strain of an elastic cylindrical body is studied with allowance for geometrical and physical nonlinearities and potential forces. The nonlinear boundary-value problem for two independent strains is solved. An analytical solution and the corresponding load are obtained for the Rivlin–Saunders quadratic elastic potential, which models finite elastic strains. The problem for displacements specified on the boundary is solved. The case of weak physical nonlinearity is considered.

Keywords: displacement, strains, stresses, potential, nonlinearity, boundary-value problem, analytical solution.

UDC: 539.3

Received: 29.11.2004

 English version: Journal of Applied Mechanics and Technical Physics, 2005, 46:4, 539–548

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