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Modeling of Shape Memory Alloys Based on Microplane TheoryDepartment of Mechanical Engineering, Isfahan University of Technology P.O. Box 84154, Isfahan, Iran, Department of Mechanical Engineering, The University of British Columbia, 2054-6250 Applied Science Lane, Vancouver, Canada V6T 1Z4
Department of Mechanical Engineering, Isfahan University of Technology P.O. Box 84154, Isfahan, Iran
Department of Mechanical Engineering, The University of British Columbia 2054-6250 Applied Science Lane, Vancouver, Canada V6T 1Z4, rajapakse{at}mech.ubc.ca
Department of Mechanical Engineering, Shiraz University School of Engineering Engineering Campus No. 1, Zand Street, Shiraz, Iran A three-dimensional microplane constitutive model utilizing statically constrained formulation with volumetric—deviatoric split is presented for shape memory alloys (SMAs). Shear stress within each microplane is described by resultant shear component on the plane. One-dimensional stress—strain laws are used for normal and shear stresses on microplanes by considering suitable adjustments between the macroscopic and the microscopic quantities. The behavior of SMAs under simple and complicated loadings is studied. The model represents interaction between the stress components and the deviation from normality in the case of nonproportional loadings. The results are in good agreement with the existing theoretical and experimental findings.
Key Words: shape memory alloys microplane theory nonproportional loading.
This version was published on May
1, 2008 Journal of Intelligent Material Systems and Structures, Vol. 19, No. 5,
541-550 (2008) |
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