Abstract
An elastoplastic model with a second-order gradient is used to analyze the dynamics of a one-dimensional rod at the deformation softening stage taking into account the nonlinearity of the descending part of the diagram. An exact solution of this nonlinear equation is obtained which describes the strongly inhomogeneous nonsteady-state structure of the strain localization zone formed from an initially smooth perturbation and culminating in collapse.
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Pis’ma Zh. Tekh. Fiz. 25, 48–53 (October 26, 1999)
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Myagkov, N.N. Modeling of strain localization in the dynamics of a softening rod. Tech. Phys. Lett. 25, 822–824 (1999). https://doi.org/10.1134/1.1262648
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DOI: https://doi.org/10.1134/1.1262648