Tensorial generalization of a phenomenological material law for shape memory alloys

Patrick Terriault; Francois Trochu; Vladimir Brailovski

doi:10.1117/12.347444

5 May 1999 Tensorial generalization of a phenomenological material law for shape memory alloys

Patrick Terriault, Francois Trochu, Vladimir Brailovski

Proceedings Volume 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (1999) https://doi.org/10.1117/12.347444
Event: International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1998, St. Petersburg, Russian Federation

Abstract

Several years ago, the use of shape memory alloys (SMA) in industrial applications gained a real interest. Even if SMA suppliers can produce a wide variety of materials, the elaboration of efficient and optimized applications remains quite hazardous due to the lack of computer-aided design tools. To fill this gap, a new phenomenological material law based on kriging was recently developed. From a single formulation constructed with isothermal tensile curves, the model calculates the thermomechanical behavior of SMA including superelasticity, one-way and assisted two-way shape memory effects among others. The paper presents the concepts that are used to generalize the model from a uniaxial to a tensorial formulation. Equivalent values defined from a Prager criterion are adapted from plasticity. Numerical results are validated by a series of experimental curves obtained with SMA samples for different loading conditions. The generalized material law is intended to be implemented with finite elements in order to calculate the thermomechanical behavior of complex shape memory devices.

Citation Download Citation

Patrick Terriault, Francois Trochu, and Vladimir Brailovski "Tensorial generalization of a phenomenological material law for shape memory alloys", Proc. SPIE 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 May 1999); https://doi.org/10.1117/12.347444

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