Experimental observations have shown that polycrystalline NiTi wires, strips and tubes develop inelastic strain via nucleation and growth of macroscopic martensitic domains under mechanical loading. These domains consist of almost fully-transformed grains, which result from micro-domains that are formed at the grain-size level. Evolution of these macroscopic domains via transformation front propagation is accompanied by complex interactions between mechanical work, latent heat, heat transfer, and loading rates. These interactions could affect the performance reliability or controllability of the material when deployed. Therefore, modeling effort is necessary to describe these interactions so as to improve the design and application of SMA devices. A 3-D thermodynamically consistent thermomechanical macroscopic model, which is able to describe phase transition kinetics in shape memory alloys, is proposed in this work. The model employs a Ginzburg-Landau-type kinetic law resulting from the notion of configurational forces associated with the gradient of an order parameter (a field variable). As a first attempt to demonstrate the capability of the model, 1-D simplification of the model is implemented within a finite element framework. Kinetics of phase transition and the effects of heat production associated with the thermomechanical coupling on the stress-strain response of an SMA are examined. In particular, the roles of external loading rate and heat transfer boundary conditions on the stress-strain response are investigated for displacement-controlled loading. Results obtained are in good agreement with experimental trends.
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ASME 2014 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
September 8–10, 2014
Newport, Rhode Island, USA
Conference Sponsors:
- Aerospace Division
ISBN:
978-0-7918-4615-5
PROCEEDINGS PAPER
Thermodynamically Consistent Thermomechanical Modeling of Kinetics of Macroscopic Phase Transition in SMA Using Phase Field Theory Available to Purchase
Babatunde O. Agboola,
Babatunde O. Agboola
Texas A and M University, College Station, TX
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Theocharis Baxevanis,
Theocharis Baxevanis
Texas A and M University, College Station, TX
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Dimitris C. Lagoudas
Dimitris C. Lagoudas
Texas A and M University, College Station, TX
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Babatunde O. Agboola
Texas A and M University, College Station, TX
Theocharis Baxevanis
Texas A and M University, College Station, TX
Dimitris C. Lagoudas
Texas A and M University, College Station, TX
Paper No:
SMASIS2014-7555, V002T02A008; 9 pages
Published Online:
December 8, 2014
Citation
Agboola, BO, Baxevanis, T, & Lagoudas, DC. "Thermodynamically Consistent Thermomechanical Modeling of Kinetics of Macroscopic Phase Transition in SMA Using Phase Field Theory." Proceedings of the ASME 2014 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 2: Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Bioinspired Smart Materials and Systems; Energy Harvesting. Newport, Rhode Island, USA. September 8–10, 2014. V002T02A008. ASME. https://doi.org/10.1115/SMASIS2014-7555
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