Constitutive model for simultaneous transformation and reorientation in shape memory materials
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Pseudoelasticity and the shape memory effect due to martensitic transformation and re-orientation of polycrystalline shape memory alloy materials are modelled using a free energy function and a dissipation potential. Closed form equations are derived for the damping capacity and the actuator efficiency of converting heat into work. The first law of thermodynamics is used to demonstrate that significantly more work is required to complete the adiabatic transformation than the isothermal transformation. Also, as the hardening due to the austenite/martensite misfit stresses approaches zero, the transformation approaches the isothermal, infinite specific heat conditions of a first order transformation.