Experimental Studies, Modelling and Simulation of the Hysteresis in SMA Single Crystals : The σ, ε, T and t Coordinate Space

Abstract
The behaviour of global and partial loops (stress-strain-temparature) in SMA single crystals was investigated. Marquardt's based numeric algorithms were developed for the identification of relevant physical parameters (time independent). In addition, the time-dependent effects like static and dynamic recoverable creep, β-recovery, quenching and or up-quenching effects, were evaluated. The constructed model permits the computer simulation of the global and partial hysteresis cycles in the four dimensional σ,ε T and t coordinate space. The simulated curves are in excellent agreement with the experimental results.