Abstract
A theoretical rigid-plastic analysis for the dynamic shear failure of beams under impulsive loading is presented when using a travelling plastic shear hinge model which takes into account material strain hardening. The maximum dynamic shear strain and shear strain-rate can be predicted in addition to the permanent transverse deflections and other parameters. The conditions for the three modes of shear failure, i.e., excess deflection failure, excess shear strain failure and adiabatic shear failure are analyzed. The special case of an infinitesimally small plastic zone is discussed and compared with Nonaka's solution for a rigid, perfectly plastic material. The results can also be generalized to examine the dynamic response of fibre-reinforced beams.
Similar content being viewed by others
References
Jones N. Structural Impact. Cambridge: Cambridge University Press, 1989
Nonaka T. Some interaction effects in a problem of plastic beam dynamics, Part 1: Interaction Analysis of a Rigid-Perfectly Plastic Beam.J Appl Mech, 1967, 34(3): 623–630
Spencer AJM. Dynamics of ideal fibre-reinforced rigid-plastic beams.J Mech Phys Solids, 1974, 22: 147–159
Jones N. Dynamic behaviour of ideal fibre-reinforced rigid-plastic beams.J Appl Mech, 1976, 43(2): 319–324
Laudiero F, Jones N. Impulsive loading of an ideal fibre-reinforced rigid-plastic beam. J Structural Mech, 1977, 5(4): 369–382
Menkes SB, Opat HJ. Broken Beams.Exp Mech, 1973, 13:480–486
Jones N. Plastic failure of ductile beams loaded dynamically.Trans ASME, J Eng Industry, 1976, 98B(1): 131–136
Wang Lili, Lu Weixian, Hu Shisheng, et al. Study of the initiation and development of adiabatic shear bands for a titanium alloy under high strain rates. In: Kawata K, Shioiri J eds. Macro and Micro-Mechanics of High Velocity Deformation and Fracture, IUTAM Symp MMMHYDF, Tokyo, 1985, Tokyo: Springer Verlag, 1987, 359–406
Wang Lili. A criterion of thermo-viscoplastic instability for adiabatic shearing. In: Zheng Zhemin, Ting Jing eds. Proc International Symposium on Intense Dynamic Loading and Its Effects, Beijing, 1986. Beijing: Science Press, 1986: 787–792
Wang Lili, Bao Hesheng, Lu Weixian. The dependence of adiabatic shear bending on strain-rate, strain and temperature.J Physique, 1988, Colloque C3, 49: 207–214
Wang Lili, Bao Hesheng. A strain-localization analysis for adiabatic shear band at different environmental temperatures. In: Jono M, Inoue T eds. Proceedings of 6th International Conference on Mechanical Behaviour of Materials, Kyoto, 1991. Tokyo: Pergamon Press, 1991, 1. 479–486
Symonds PS. Plastic shear deformations in dynamic load problems. In: Heyman J, Leckie FA eds. Engineering Plasticity. Cambridge: Cambridge University Press, 1968. 647–664
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lili, W., Jones, N. An analysis of the shear failure of rigid-linear hardening beams under impulsive loading. Acta Mech Sinica 12, 338–348 (1996). https://doi.org/10.1007/BF02487799
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487799