In microplane theory, it is assumed that a macroscopic stress tensor is projected to the microplane stres-ses. It is also assumed that 1D constitutive laws are defined for associated stress and strain components on all microplanes passing through a material point. The macroscopic strain tensor is obtained by strain integration on microplanes of all orientations at a point by using a homogenization process. Traditionally, microplane formulation has been based on the Volumetric–Deviatoric–Tangential split and macroscopic strain tensor was derived using the principle of complementary virtual work. It has been shown that this formulation could violate the second law of thermodynamics in some loading conditions. The present paper focuses on modeling of shape memory alloys using microplane formulation in a thermodynami-cally-consistent framework. To this end, a free energy potential is defined at the microplane level. Inte-grating this potential over all orientations provides the macroscopic free energy. Based on this free energy, a new formulation based on Volumetric–Deviatoric split is proposed. This formulation in a ther-modynamic-consistent framework captures the behavior of shape memory alloys. Using experimental results for various loading conditions, the validity of the model has been verified
کلید واژگان :Shape memory alloy Microplane formulation Thermodynamically-consistent framework Volumetric–Deviatoric–Tangential Split Volumetric–Deviatoric Split Principle of complementary virtual work
ارزش ریالی : 600000 ریال
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