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This version was published on August 1, 2008
Journal of Intelligent Material Systems and Structures, Vol. 19, No. 8, 861-874 (2008)
DOI: 10.1177/1045389X07082378

Biaxial Constrained Recovery in Shape Memory Alloy Rings

Tomaz Videnic

Faculty of Mechanical Engineering, University of Ljubljana, Askerceva 6 1000 Ljubljana, Slovenia

Franc Kosel

Faculty of Mechanical Engineering, University of Ljubljana, Askerceva 6 1000 Ljubljana, Slovenia, franc.kosel{at}fs.uni-lj.si

Viktor Sajn

Faculty of Mechanical Engineering, University of Ljubljana, Askerceva 6 1000 Ljubljana, Slovenia

Miha Brojan

Faculty of Mechanical Engineering, University of Ljubljana, Askerceva 6 1000 Ljubljana, Slovenia

In this article biaxial constrained recovery in a thick-walled shape memory alloy (SMA) ring with a rectangular cross-section is modeled using the theory of generalized plasticity, which is developed by Jacob Lubliner and Ferdinando Auricchio. As a mechanical obstacle that delays free recovery in a SMA ring, a steel ring is used. The result of constrained recovery is the generation of high stresses in both the rings. All equations are written in a closed form in terms of infinite series. Theoretical results are compared with experimental findings and good agreement is found when SMA rings are in the domain of recoverable strains.

Key Words: shape memory alloy • mathematical modeling • phase transformation • rings • constrained recovery • generalized plasticity.


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