Analytical results for a linear hardening elasto-plastic spring investigated via a hemivariational formulation

Year 2024, Volume: 7 Issue: Special Issue: AT&A, 50 - 75, 16.12.2024

Luca Placidi , Anil Misra , Abdou Kandalaft , Mohammad Mahdi Nayeban , Nurettin Yilmaz

https://doi.org/10.33205/cma.1532828

https://izlik.org/JA89TW42WL

Abstract

We investigate the linear hardening phenomena with a method that is not standard in the literature, i.e. with a hemivariational method. As a result, we do not introduce any flow rules, and the number of assumptions is reduced to the generalized variational principle with proper definition of a new set of kinematic descriptors and, as a function of them, with a new definition of the energy functional. The variational framework guarantees the rationality of the deduction. Analytical derivation of the force displacement hysteretic loop is also derived and, finally, the dissipation energy is furnished with respect to both the final value of the dissipation energy potential or by the corresponding area of the hysteretic loop.

Keywords

Linear hardening , histeretic loop , variational method , Plasticity

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