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A modified swift law for prestrained materials
Institution:1. Mechanical Engineering Department (CEMUC), University of Coimbra, Pinhal de Marrocus, 3030 Coimbra, Portugal;2. Metallurgical Engineering Department (GMM-IMAT), University of Oporto, 4099 Porto Codex, Portugal;1. Institute of Strength Physics and Materials Science, The Russian Academy of Sciences, pr. Academicheskii 2/4, 634055 Tomsk, Russia;2. National Research Tomsk Polytechnic University, pr. Leninа 30, 634050 Tomsk, Russia;3. National Research Tomsk State University, pr. Leninа 36, 634050 Tomsk, Russia
Abstract:A modified Swift law to describe the evolution of the mechanical behaviour in reloading of prestrained materials is proposed in this work. This equation is deduced from the original Swift law by including a parameter that accounts for the effect of strain path change. This parameter depends on the value of the yield stress and the subsequent work-hardening behaviour in reloading. The new equation predicts well the general mechanical behaviour in the second path for copper and steel. In particular, it predicts accurately the strain value for which necking occurs during reloading and fits experimental stress-strain curves well. The flow equation formulated remains sufficiently simple to be applied in finite element modelling of prestrained materials. However, since the parameter, which is needed for the modified Swift law, must be previously known, the strain path change itself cannot be part of the simulation.
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