Modeling of Nonlinear Antiplane Strain of a Cylindrical Body
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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.
Key wordsdisplacement strains stresses potential nonlinearity boundary-value problem analytical solution
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