NECKING IN A BAR
HARVARD UNIV CAMBRIDGE MA DIV OF ENGINEERING AND APPLIED PHYSICS
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The necking process of an axisymmetric tension specimen made of elastic-plastic, strain-hardening material is analyzed by a generalized J sub 2- flow theory for large deformations. The governing equations are solved in a Kantorovich type approach based on a variational principle. The effects of both geometric nonlinearities resulting from large deformations and the physical nonlinearities arising from plastic material behavior are considered. Numerical results have been found for the stress and deformation histories in the specimen up to a 50 reduction of the neck radius. The shape of the neck, for the first time, is rationally calculated.