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On the Path-Dependency of the J-Integral in a Pseudoelastic Shape Memory Alloy

[+] Author Affiliations
Theocharis Baxevanis, Yves Chemisky, Dimitris Lagoudas

Texas A&M University, College Station, TX

Paper No. SMASIS2011-5004, pp. 347-353; 7 pages
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Volume 1
  • Scottsdale, Arizona, USA, September 18–21, 2011
  • ISBN: 978-0-7918-5471-6
  • Copyright © 2011 by ASME


Detailed finite-element calculations are carried out to examine the path-dependence of the J-integral in a pseudoelastic Shape Memory Alloy (SMA) for mode I loading under the approximation of linear kinematics. The evolution equation for the transformation strain is consistent with the classical rate-independent J2 flow theory. The small-scale nonlinearity assumption is employed using a boundary layer approach, wherein the actual boundary conditions have been replaced by the requirement of an asymptotic approach to the linear elastic inverse-square-root stress/strain distribution at large distances from the crack tip. The J-integral is found to be path-dependent inside the transformation zone, close to the crack tip.

Copyright © 2011 by ASME



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