Modeling of Nonlinear Antiplane Strain of a Cylindrical Body |
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Authors: | V D Bondar’ |
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Institution: | (1) Novosibirsk State University, Novosibirsk, 630090, Russia |
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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.__________Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 4, pp. 98–108, July– August, 2005. |
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Keywords: | displacement strains stresses potential nonlinearity boundary-value problem analytical solution |
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