An improved, fully symmetric, finite-strain phenomenological constitutive model for shape memory alloys

Finite Elements in Analysis and Design

Volumn 47, Issue 2, 2011, Pages 166-174

  Arghavani, J ^a,b   Auricchio, F ^b,c,d   Naghdabadi, R ^a   Reali, A ^b,d  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^b UNIVERSITY OF PAVIA   (Italy)

^c SCUOLA UNIVERSITARIA SUPERIORE IUSS PAVIA   (Italy)

^d EUROPEAN CENTRE FOR TRAINING AND RESEARCH IN EARTHQUAKE ENGINEERING EUCENTRE   (Italy)

Author keywords

Exponential mapping; Finite element; Finite strain; Shape memory alloys; Solution algorithm; UMAT

Indexed keywords

EXPONENTIAL MAPPING; FINITE ELEMENT; FINITE STRAIN; SHAPE MEMORY ALLOY; SOLUTION ALGORITHM; UMAT;

ALGORITHMS; ALLOYS; CERIUM ALLOYS; CONTROL NONLINEARITIES; FINITE ELEMENT METHOD; MAPPING; SHAPE MEMORY EFFECT; STRAIN; SUBROUTINES;

CONSTITUTIVE MODELS;

EID: 78649969016     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2010.09.001     Document Type: Article

References (36)

1. K. Otsuka, and C.M. Wayman Shape Memory Materials 1998 Cambridge University Press Cambridge
2. T.W. Duerig, K.N. Melton, D. Stoekel, and C.M. Wayman Engineering Aspects of Shape Memory Alloys 1990 Butterworth-Heinemann London
3. T. Duerig, A. Pelton, and D. Stckel An overview of nitinol medical applications Materials Science and Engineering A 273275 1999 149 160
4. K. Kuribayashi, K. Tsuchiya, Z. You, D. Tomus, M. Umemoto, T. Ito, and M. Sasaki Self-deployable origami stent grafts as a biomedical application of Ni-rich TiNi shape memory alloy foil Materials Science and Engineering A 419 2006 131 137
5. H. Funakubo Shape Memory Alloys 1987 Gordon and Breach Science Publishers New York
6. B. Raniecki, and C. Lexcellent Thermodynamics of isotropic pseudoelasticity in shape memory alloys European Journal of MechanicsA/Solids 17 1998 185 205
7. M. Panico, and L. Brinson A three-dimensional phenomenological model for martensite reorientation in shape memory alloys Journal of the Mechanics and Physics of Solids 55 2007 2491 2511
8. A.C. Souza, E.N. Mamiya, and N. Zouain Three-dimensional model for solids undergoing stress-induced phase transformations European Journal of MechanicsA/Solids 17 1998 789 806
9. D. Helm, and P. Haupt Shape memory behaviour: modelling within continuum thermomechanics International Journal of Solids and Structures 40 2003 827 849
10. C. Bouvet, S. Calloch, and C. Lexcellent A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings European Journal of MechanicsA/Solids 23 2004 37 61
11. P. Popov, and D.C. Lagoudas A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite International Journal of Plasticity 23 2007 1679 1720
12. F. Thiebaud, C. Lexcellent, M. Collet, and E. Foltete Implementation of a model taking into account the asymmetry between tension and compression, the temperature effects in a finite element code for shape memory alloys structures calculations Computational Materials Science 41 2007 208 221
13. Z. Moumni, W. Zaki, and Q.S. Nguyen Theoretical and numerical modeling of solidsolid phase change: application to the description of the thermomechanical behavior of shape memory alloys International Journal of Plasticity 24 2008 614 645
14. J. Arghavani, F. Auricchio, R. Naghdabadi, A. Reali, S. Sohrabpour, A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings, International Journal of Plasticity 26 (2010) 976991
15. R. Mahnken, and S. Wilmanns Simulation of asymmetric effects for shape memory alloys by decomposition of transformation strains Computational Materials Science 42 2008 295 305 (Pubitemid 351335262)
16. Y. Wang, Z. Yue, and J. Wang Experimental and numerical study of the superelastic behaviour on niti thin-walled tube under biaxial loading Computational Materials Science 40 2007 246 254
17. F. Auricchio, and R.L. Taylor Shape-memory alloys: modelling and numerical simulations of the finite-strain superelastic behavior Computer Methods in Applied Mechanics and Engineering 143 1997 175 194 (Pubitemid 127411650)
18. F. Auricchio A robust integration-algorithm for a finite-strain shape-memory-alloy superelastic model International Journal of Plasticity 17 2001 971 990
19. A. Ziolkowski Three-dimensional phenomenological thermodynamic model of pseudoelasticity of shape memory alloys at finite strains Continuum Mechanics and Thermodynamics 19 2007 379 398
20. S. Reese, and D. Christ Finite deformation pseudo-elasticity of shape memory alloysconstitutive modelling and finite element implementation International Journal of Plasticity 24 2008 455 482
21. D. Christ, and S. Reese A finite element model for shape memory alloys considering thermomechanical couplings at large strains International Journal of Solids and Structures 46 2009 3694 3709
22. V. Evangelista, S. Marfia, E. Sacco, A 3D SMA constitutive model in the framework of finite strain, International Journal for Numerical Methods in Engineering 81 (6) (2010) 761785
23. J. Arghavani, F. Auricchio, R. Naghdabadi, A. Reali, S. Sohrabpour, A 3D finite strain phenomenological constitutive model for shape memory alloys considering martensite reorientation, Continuum Mechanics and Thermodynamics 22 (2010) 345362, doi: 10.1007/s00161-010-0155-8
24. J. Arghavani, F. Auricchio, R. Naghdabadi, A. Reali, On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model, International Journal for Numerical Methods in Engineering, accepted for publication, doi: 10.1002/nme.2964
25. P. Thamburaja, A finite-deformation-based phenomenological theory for shape-memory alloys, International Journal of Plasticity 26 (8) (2010) 11951219
26. C. Muller, and O. Bruhns A thermodynamic finite-strain model for pseudoelastic shape memory alloys International Journal of Plasticity 22 2006 1658 1682 (Pubitemid 44304445)
27. F. Auricchio, and L. Petrini Improvements and algorithmical considerations on a recent three-dimensional model describing stress-induced solid phase transformations International Journal for Numerical Methods in Engineering 55 2002 1255 1284
28. F. Auricchio, and L. Petrini A three-dimensional model describing stress-temperature induced solid phase transformations: thermomechanical coupling and hybrid composite applications International Journal for Numerical Methods in Engineering 61 2004 716 737 (Pubitemid 39259901)
29. F. Auricchio, and L. Petrini A three-dimensional model describing stress-temperature induced solid phase transformations: solution algorithm and boundary value problems International Journal for Numerical Methods in Engineering 61 2004 807 836 (Pubitemid 39306444)
30. V.A. Lubarda Elastoplasticity Theory 2001 CRC Press
31. P. Haupt Continuum Mechanics and Theory of Materials 2002 Springer Publication House
32. A.L. Eterovic, and K.-J. Bathe A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures International Journal for Numerical Methods in Engineering 30 1990 1099 1114
33. C. Miehe Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals International Journal for Numerical Methods in Engineering 39 1996 3367 3390
34. I.N. Vladimirov, M.P. Pietryga, and S. Reese On the modelling of non-linear kinematic hardening at finite strains with application to springbackcomparison of time integration algorithms International Journal for Numerical Methods in Engineering 75 2008 1 28
35. I.N. Vladimirov, M.P. Pietryga, S. Reese, Anisotropic finite elastoplasticity with nonlinear kinematic and isotropic hardening and application to sheet metal forming, International Journal of Plasticity 26 (5) (2010) 659687
36. J. Arghavani, Thermomechanical behavior of shape memory alloys under nonproportional loading: constitutive modelling and numerical inplementation in small and finite strains, Ph.D. Thesis, Sharif University of Technology, Iran, 2010.