The accurate description of the complex thermomechanical behavior of solids requires the efficient treatment of strongly nonlinearly coupled partial differential equations systems. These stem from the combination of balance and constitutive equations, which in turn can be often rephrased in a variational setting from the specification of suitable equilibrium and dissipation potentials.
The proposed project is focused on development of new mathematical models of constitutive behavior of shape memory alloys. These models will be based on results of experimental observations, and will reflect the mutual couplings between individual microstructural processes in these materials.