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.
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V. D. Bondar’, “Nonlinear antiplane strain of an elastic body,” J. Appl. Mech. Tech. Phys., 42, No.2, 337–345 (2001).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 4, pp. 98–108, July– August, 2005.
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Bondar’, V.D. Modeling of Nonlinear Antiplane Strain of a Cylindrical Body. J Appl Mech Tech Phys 46, 539–548 (2005). https://doi.org/10.1007/s10808-005-0106-5
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DOI: https://doi.org/10.1007/s10808-005-0106-5