A Constitutive Model for Isothermal Pseudoelasticity Coupled with Plasticity

Shape Memory and Superelasticity - Tập 2 Số 4 - Trang 360-370 - 2016
Dongjie Jiang1, Chad M. Landis1
1Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, 210 East 24th Street, C0600, Austin, TX, 78712-1221, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Shaw JA, Kyriakides S (1995) Thermomechanical aspects of NiTi. J Mech Phys Solids 43:1243–1281

Bhattacharya K (2003) Microstructure of martensite: why it forms and how it gives rise to the shape-memory effect. Oxford University Press, Oxford

Gall K, Sehitoglu H, Chumlyakov YI, Kireeva IV (1999) Tension-compression asymmetry of the stress-strain responses in aged single crystal and polycrystalline NiTi. Acta Mater. 47:1203–1217

Bechle NJ, Kyriakides S (2014) Localization in NiTi tubes under bending. Int J Solids Struct 51:967–980

Reedlunn B, Churchill CB, Nelson EE, Shaw JA, Daly SH (2014) Tension, compression, and bending of superelastic shape memory alloy tubes. J Mech Phys Solids 63:506–537

Lagoudas DC, Entchev PB, Popov P, Patoor E, Brinson LC, Gao X (2006) Shape memory alloys. Part II: Modeling of polycrystals. Mech Mater 38:430–462

Patoor E, Lagoudas DC, Entchev PB, Brinson LC, Gao X (2006) Shape memory alloys. Part I: General properties and modeling of single crystals. Mech Mater 38:391–429

Boyd JG, Lagoudas DC (1996) A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy. Int J Plast 12:805–842

Qidwai MA, Lagoudas DC (2000) On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material. Int J Plast 16:1309–1343

Auricchio F, Petrini L (2004) A three-dimensional model describing stress-temperature induced solid phase transformations: solution algorithm and boundary value problems. Int J Numer Methods Eng 61:807–836

Arghavani J, Auricchio F, Naghdabadi R, Reali A, Sohrabpour S (2010) A 3-D phenomenological model for shape memory alloys under multiaxial loadings. Int J Plast 26:976–991

Arghavani J, Auricchio F, Naghdabadi R, Reali A, Sohrabpour S (2010) A 3D finite strain phenomenological model for shape memory alloys considering martensite reorientation. Contin Mech Thermodyn 22:345–362

Panico M, Brinson LC (2007) A three-dimensional phenomenological model for martensite reorientation in shape memory alloys. J Mech Phys Solids 55:2491–2511

Brocca M, Brinson LC, Bazant ZP (2002) Three-dimensional constitutive model for shape memory alloys based on microplane model. J Mech Phys Solids 50:1051–1077

Karamooz Ravari MR, Kadkhodaei M, Ghaei A (2015) A microplane constitutive model for shape memory alloys considering tension/compression asymmetry. Smart Mater Struct 24:075016

Landis CM (2002) Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics. J Mech Phys Solids 50:127–152

Landis CM (2003) On the strain saturation conditions for polycrystalline ferroelastic materials. ASME J Appl Mech 70:470–478

Landis CM (2003) On the fracture toughness of ferroelastic materials. J Mech Phys Solids 51:1347–1369

Sehitoglu H, Karaman I, Anderson R, Zhang X, Gall K, Maier HJ, Chumlyakov Y (2000) Compressive response of NiTi single crystals. Acta Mater. 48:3311–3326

Ezaz T, Wang J, Sehitoglu H, Maier HJ (2013) Plastic deformation of NiTi shape memory alloys. Acta Mater 61:67–68

Hartl DJ, Lagoudas DC (2009) Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys. Smart Mater Struct 18:104017

Lagoudas DC, Entchev PB (2004) Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: constitutive model for fully dense SMAs. Mech Mater 36:865–892

Jiang D, Bechle N, Landis CM, Kyriakides S (2016) Buckling and recovery of NiTi tubes under axial compression. Int J Solids Struct 80:52–63

Jiang D, Landis CM, Kyriakides S (2016) Effects of tension/compression asymmetry on the buckling and recovery of NiTi tubes under axial compression. Int J Solids Struct. doi: 10.1016/j.ijsolstr.2016.07.003

Sedlak P, Frost M, Benesova B, Zineb TB, Sitnner P (2012) Thermomechanical model for NiTi-based shape memory alloys including R-phase and material anisotropy under multi-axial loadings. Int J Plast 39:132–151

Lexcellent C, Vivet A, Bouvet C, Calloch S, Blanc P (2002) Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape-memory alloys. J Mech Phys Solids 50:2717–2735

Christ D, Reese S (2009) A finite element model for shape memory alloys considering thermomechanical couplings at large strains. Int J Solids Struct 46:3694–3709

Cazacu O, Plunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal closed packed metals. Int J Plast 22:1171–1194

Zaki W (2010) An approach to modeling tensile-compressive asymmetry for martensitic shape memory alloys. Smart Mater Struct 19:025009

Aleong D, Dumont C, Chirani SA, Patoor E, McDowell DL (2002) Transformation surfaces of a textured pseudoelastic polycrystalline Cu-Zn-Al shape memory alloy. J Intell Mater Syst 13:783–793

Baxevanis T, Chemisky Y, Lagoudas DC (2012) Finite element analysis of the plane strain crack-tip mechanical fields in pseudoelastic shape memory alloys. Smart Mater Struct 21(9):094012

Carka D, Mear ME, Landis CM (2011) The dirichlet-to-neumann map for two-dimensional crack problems. Comput Methods Appl Mech Eng 200:1263–1271

Li FZ, Shih CF, Needleman A (1985) A comparison of methods for calculating energy release rates. Eng Fract Mech 21:405–421

Carka D, Landis CM (2011) On the Path-dependence of the J-integral in an elastic-plastic material. J Appl Mech 78:011006

Carka D, Landis CM (2011) The analysis of crack tip fields in ferroelastic materials. Smart Mater Struct 20:094005

Dean RH, Hutchinson JW (1980) Quasi-static steady crack growth in small scale yielding. Fracture Mechanics, ASTM-STP 700:383–405

Hutchinson JW (1974) On steady quasi-static crack growth. Harvard University Report, Division of Applied Sciences, DEAP S-8

Wang J, Landis CM (2006) Effects of In-plane electric fields on the toughening behavior of ferroelectric ceramics. J Mech Mater Struct 1:1075–1095

Wang J, Landis CM (2006) Domain switch toughening in polycrystalline ferroelectrics. J Mater Res 21:13–20

Baxevanis T, Landis CM, Lagoudas DC (2014) On the fracture toughness of pseudoelastic shape memory alloys. J Appl Mech 81:041005

Baxevanis T, Landis CM, Lagoudas DC (2014) On the effect of latent heat on the fracture toughness of pseudoelastic shape memory alloys. J Appl Mech 81:101006