Modeling of shape memory alloys based on microplane theory

被引:22
作者
Kadkhodaei, M. [2 ]
Salimi, M. [2 ]
Rajapakse, R. K. N. D. [1 ]
Mahzoon, M. [3 ]
机构
[1] Univ British Columbia, Dept Mech Engn, Vancouver, BC V6T 1Z4, Canada
[2] Isfahan Univ Technol, Dept Mech Engn, Esfahan, Iran
[3] Shiraz Univ, Sch Engn, Dept Mech Engn, Shiraz, Iran
关键词
shape memory alloys; microplane theory; nonproportional loading;
D O I
10.1177/1045389X07077837
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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.
引用
收藏
页码:541 / 550
页数:10
相关论文
共 27 条
[1]  
[Anonymous], 1871 NAT ADV COMM AE
[2]  
[Anonymous], THESIS VIRGINIA TECH
[3]   Shape-memory alloys: Macromodelling and numerical simulations of the superelastic behavior [J].
Auricchio, F ;
Taylor, RL ;
Lubliner, J .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 146 (3-4) :281-312
[4]  
Bazant ZP, 1996, J ENG MECH-ASCE, V122, P245
[5]  
BAZANT ZP, 1986, Z ANGEW MATH MECH, V66, P37
[6]  
BAZANT ZP, 1988, J ENG MECH-ASCE, V114, P1689
[7]  
BAZANT ZP, 1988, J ENG MECH-ASCE, V114, P1672
[8]  
Bazant ZP, 1984, Mechanics of engineering materials, P45
[9]   Phase diagram based description of the hysteresis behavior of shape memory alloys [J].
Bekker, A ;
Brinson, LC .
ACTA MATERIALIA, 1998, 46 (10) :3649-3665
[10]   A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings [J].
Bouvet, C ;
Calloch, S ;
Lexcellent, C .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2004, 23 (01) :37-61