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- W2068271900 abstract "Abstract Applying two theories in plasticity (flow theory and a modified deformation theory), the necking of a cylindrical bar in uniaxial tension is analysed. The development of finite strain in the bar is handled by the up-dated Lagrangian description and the governing variational equation is solved by using a finite-difference discretization in the axial direction coupled with a polynomial representation of the radial fields. The accuracy of the solution is ensured through the use of Lagrange multipliers which enforce stress-free lateral boundary conditions. The computation proceeds by adjusting the plastic moduli of the material so that its force-displacement record agrees with that of an experiment. The comparison between the thinning of the neck predicted by the simulation and that measured experimentally provides a check on the constitutive assumptions used in the computation. Finally, the development of stress within the neck is presented." @default.
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- W2068271900 date "1983-01-01" @default.
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- W2068271900 title "Necking in uniaxial tension" @default.
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- W2068271900 doi "https://doi.org/10.1016/0020-7403(83)90086-3" @default.
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