SMA本构模型及其应用的研究进展
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摘要
形状记忆合金(SMA)是一类应用前景广阔的智能材料系统,其最基本的宏观响应特性是在不同温度和应力条件下的相变超弹性和形状记忆特性．近年来,形状记忆合金本构模型发展迅速,其在工程结构振动控制领域中的研究和应用也得到了广泛地关注．与此同时,许多学者将SMA用于当前迅速发展的智能材料结构,发展了一系列SMA复合材料本构模型,成为目前SMA的应用研究的热点．本文针对形状记忆合金本构模型的发展状况,首先回顾了近年来常用的和新发展的SMA本构模型,并根据其包含的力学特点和基本理论将其进行了比较归类,分析了各类模型特点和适用范围;其次从微/宏观角度介绍了有广阔应用前景的SMA智能复合材料的本构模型的发展状况;接着简要的综述了几类较为实用的SMA本构模型在实现结构的主/被控制、变形控制及结构裂纹诊断与控制等方面的应用现状．最后对目前本构模型的发展趋势、工程应用问题提出了一些看法和展望．
Shape Memory Alloy(SMA)is a sort of intelligent material system widely used in many engineering application fields.The basic macroscopic response characteristcs are the pseudoelasticity and the shape memory effect at various temperatures and stress levels.Shape memory alloy constitutive models have developed rapidly and received increasing attention in recent years because of their great potential for the vibration control of engineering structures.Meanwhile,a series of SMA composite contitutive models compatible with the developing composite material become hot topics nowadays and are investigated by many reasearchers.This paper reviews those common SMA constitutive models and newly developed models and classifies them in terms of the mechanical behavior and theoretical basis.And the characteristics and applicability of the models are also compared and analyzed.The developing status of SMA composite constitutive models are introduced from the point of microcosmic and macroscopical view.This paper also presents an overview to the state of the art of some practical SMA constitutive models in the fields of active and passive vibration controls,deformation controls and crack diagnoses and control techniques.Finally,the promising future and engineering applications of SMA constitutive models are discussed.
Shape Memory Alloy(SMA)is a sort of intelligent material system widely used in many engineering application fields.The basic macroscopic response characteristcs are the pseudoelasticity and the shape memory effect at various temperatures and stress levels.Shape memory alloy constitutive models have developed rapidly and received increasing attention in recent years because of their great potential for the vibration control of engineering structures.Meanwhile,a series of SMA composite contitutive models compatible with the developing composite material become hot topics nowadays and are investigated by many reasearchers.This paper reviews those common SMA constitutive models and newly developed models and classifies them in terms of the mechanical behavior and theoretical basis.And the characteristics and applicability of the models are also compared and analyzed.The developing status of SMA composite constitutive models are introduced from the point of microcosmic and macroscopical view.This paper also presents an overview to the state of the art of some practical SMA constitutive models in the fields of active and passive vibration controls,deformation controls and crack diagnoses and control techniques.Finally,the promising future and engineering applications of SMA constitutive models are discussed.
引文
1王健,沈亚鹏,王社良．形状记忆合金的本构关系．上海力学, 1998,19(3):185～195
2 Tanaka K,Nagaki S.A thermomechanical description of ma- terials with internal variables in the process of phase tran- sitions.Ing Arch,1982,51:287～299
3 Tanaka K,Nishimura F,Hayashi T,et al.Phenomenological analysis on sub-loops and cyclic behavior in shape memory alloys under mechanical and/or thermal loads.Mechanics of Materials,1995,19:281～292
4 Tanaka K,Nishimura F,Tobushi H.Transformation start lines in TiNi and Fe-based shape memory alloys after incom- plete transformations induced by mechanical and/or ther- mal loads.Mechanics of Materials,1995,19:271～280
5 Tanaka K,Nishimura F,Matsui M,et al.Phenomenolog- ical analysis of plateaus on stress-strain hysteresis in TiNi shape memory alloy wires.Mechanics of Materials,1996, 24:19～30
6 Liang C.The constitutive modeling of shape memory al- loys:[dissertation].USA:Virginia Polytechnic Institute and State University,1990
7 Liang C,Rogers C A.One-dimensional thermomechanical constitutive relations for shape memory materials.J Intell Marl Syst Struct,1990,1(2):207～234
8 Liang C,Rogers C A.A multi-dimensional constitutive model for shape memory alloys.Journal of Engineering Mathematics,1992,26:429～443
9 Brinson L C.One dimensional constitutive behavior of shape memory alloys:thermomecanical derivation with non- constant material functions.J Intell Marl Syst Struct,1993, 4(2):229～242
10 Brinson L C,Lammering R.Finite element analysis of the behavior of shape memory alloys and their applications.Int J Solids Structures,1993,30(23):3261～3280
11 Brinson L C,Huang M S.A new look at SMA constitu- tive models:comparisons and micromechanics.In:ASME Summer Meeting.Los Angeles,CA,ASME,Carman G,ed. 1995
12 Brinson L C,Huang M S.Simplifications and comparisons of shape memory alloy constitutive models.J Intell Matl Syst Struct,1996,7:108～114
13 Huang M S,Brinson L C.A multivariant model for single crystal shape memory alloys.J Mech Phys Solids,1998,46: 1379～1409
14 Boyd J G,Lagoudas D C.Thermomechanical response of shape memory composites.J Intell Matl Syst & Struct, 1994,5:333～346
15 Boyd J G,Lagoudas D C.A thermodynamic constitutive model for the shape memory materials,partⅠ.The mono- lithic shape memory alloys.Int J Plast,1995,12:805～842
16 Boyd J G,Lagoudas D C.A thermodynamic constitutive model for the shape memory materials,partⅡ.the SMA composite material.Int J Plast,1995,12(7):843～873
17 Lagoudas D C,Bo Z,Qidwai M A.A unified thermody- namic constitutive model for sma and finite element analysis of active metal matrix composites.Mechanics of Composite Materials and Structures,1996,3:153～179
18 Lagoudas D C,Moorthy D,Qidwai M A,et al.Modeling of the thermomechanical response of active laminates with SMA strips using the layerwise finite element method.J Intell Matl Syst Struct,1997,8(6):476～488
19 Lagoudas D C,Boyd J G,Bo Z.Micromechanics of active composites with SMA fibers.ASME Journal of Engineering Materials and Technologies,1994,116:337～347
20 Ivshin Y,Pence T J.A thermomecanical model for a one variant shape memory material.J Intell Marl Syst Struct, 1994,5:455～473
21 Ivshin Y,Pence T J.A constitutive model for hysteretic phase transition behavior.Int J Eng Sci,1994,32:681～704
22 Auricchio F,Robert L,Taylor.Shape-memory alloys:mod- eling and numerical simulations of the finite-strain supere- lastic behavior.Comput Methods Appl Mech Engrg,1997, 143:175～194
23 Auricchio F.A temperature-dependent beam for shape- memory alloys:constitutive modeling,finite-element imple- mentation and numerical simulations.Comput Method Appl Math,1999,174(1-2):171～190
24 Auricchio F.Shape Memory Alloys:Applications,Mi- cromechanics,Macromodeling and Numerical Simulations: [dissertation]:Berkeley:University of California,1995
25 ANSYS Company.ANSYS User's Manual.USA,1998
26 Auricchio F,Marfia S,Sacco E.Modeling of SMA materi- als: training and two way memory effects.Computers and Structures,2003,81:2301～2317
27 Auricchio F,Sacco E.Thermo-mechanical modeling of a superelastic shape-memory wire under cyclic stretching- bending loadings,lnt J Solids Struct,2001,38:6123～6145
28 Hashin Z.Theory of fiber reinforced materials.NASACR- 21974,USA,1974
29 Christensen R M,Lo K H.Solutions for effective shear prop- erties of three-phase sphere and cylinder.J Mech and Phy Solids,1979,37:315～330
30 Sullivan B J.Analysis of properties of fiber composites with shape memory alloy constituents.J Intell Mater Syst Struct,1994,5:825～832
31 Aboudi J.The response of shape memory alloy composites. Smart Mater Struct,1997,6:1～9
32 Stalmans R,Delaey L,Van Humbeeck J.Modeling of adap- tive composite materials with embedded shape memory alloy wires.In:Materials Research Society Symposium Proceed- ings,Boston,1997,459.119～130
33陶宝祺．智能材料结构．北京:国防工业出版社．1999
34邓宗才,李庆斌．形状记忆合金混凝土轴心构件的变形特性．清华大学学报(自然科学版),2002,42(1):1544～1547
35朱炜国,吕和祥,杨大智．一个新的形状记忆合金模型．应用数学和力学,2002,123(9):896～902
36彭向和,韩勇,黄尚廉．形状记忆合金拟弹性行为的热力学描述．应用力学学报,2000,17(1):60～67
37邹静,钟伟芳．形状记忆合金的多维本构关系．固体力学学报, 1999,20(2):171～176
38 Du X W,Sun G,Sun S S.Piecewise linear constitutive re- lation for pseudo-elasticity of shape memory alloy(SMA). Materials Science and Engineering A,2005,393:332～337
39 Magee C L.The Nucleation of Martensite in phase Trans- formations.London:American Society for Metals,1970,5: 115
40 Patoor E,Eberhardt A,Berveiller M.Thermomechanical behavior of shape memory alloys.Arch Mech,1988,40(5- 6):775～794
41 Patoor E,Eberhardt A,Berveiller M.Micromechanical mod- eling of superelasticity in shape memory alloys.Pitman Re- search Notes in Mathematics Series,1993,296:38～54
42 Patoor E,Eberhardt A.Micromechanical modeling of su- perelasticity in shape memory alloys.J PhysⅣ,1996,1(6): 277～292
43 Sun Q P,Hwang K C.Micromechanics modeling for the con- stitutive behavior of polycrystalline shape memory alloys. J Mech Phys Solids,1993,41(1):1～17
44 Goo B C,Lexcellent C.Micromechanics based modeling of two-way memory effect of a single crystalline shape memory alloy.Acta Metall,1997,45:727～737
45 Dimitrls C,Lagoudas,Bo Z H.Thermomechanical modeling of polycrystalline SMAs under cyclic loading,PartⅡ:ma- terial characterization and experimental results for a stable transformation cycle.International Journal of Engineering Science,1999,37:1141～1173
46 Lu Z K,Weng G J.Martensitic transformations and stress- Strain Relations of shape-memory alloys.J Mech Phys Solids,1997,45:1905～1928
47 Thamburaja P.Constitutive equations for martensitic reori- entation and detwinning in shape-memory alloys.Journal of the Mechanics and Physics of Solids,2005,53:825～856
48 Patoor E,Dimitris C,Lagoudas,Pavlin B,et al.Shape memory alloys,PartⅠ:General properties and modeling of single crystals.Mechanics of Materials,2006,38:391～429
49 Xie Z,Liu Y,Humbeeck J.Microstructure of NiTi shape memory alloy due to tension-compression cyclic deforma- tion.Acta Materialia,1998,46:1989～2000
50 Thamburaja P,Anand L.Superelastic behavior in tension- torsion of an initially textured NiTi shape memory alloy.Int J Plasticity,2002,18:1607～1617
51 Lim T J,McDowell D L.Cyclic thermomechanical behav- ior of a polycrystalline pseudoelastic shape memory alloy.J Mech Phys Sol,2002,50:651～676
52 Peultier B,Ben T,Zineb E.Patoor.Macroscopic consti- tutive law of shape memory alloy thermomechanical be- haviour.Application to structure computation by FEM. Mechanics of Materials,2005:1～15
53 Achenbach M,Muller I.Creep and yield in martensite transformations.Ingenieur Archly,1983,53(1): 73～83
54 Graesser E J,Cozzarelli F A.Shape memory alloys as new materials for seismic isolation.J Eng Mechanics ASCE, 1992,26(1):117～119
55 Graesser E J,Cozzarelli F A.A proposed three dimensional constitutive for SMAs.J of intell Mater Syst and Struct, 1994,5:78～79
56 Alberto Pairs,Marcelo Amorim Savi.A constitutive model for shape memory alloys considering tensile-compressive asymmetry and plasticity.International Journal of Solids and Structures,2005,42:3439～3457
57秦荣．智能结构力学．北京:科学出版社,2005
58彭向和,陈斌．SMA形状记忆行为的描述．功能材料,1998, 10(增刊):694～696
59彭向和,韩勇,黄尚廉．SMA伪弹性和形状记忆特性的描述．重庆大学学报(自然科学版),1999,22(1):1～6
60李海涛,彭向和,黄尚廉．形状记忆合金的一种基于经典塑性理论的两相混和本构模型．固体力学学报,2004,25(1):58～62
61 Brocca M,Brinson L C,Bazant Z P.Three dimen- sional constitutive model for shape memory alloys based on microplane model.J Mech Phys Solids,2002,50(2): 1051～1077
62 Taylor G I.Plastic strain in metals.J Inst Metals,1938,63: 307～324
63 Carol I,Bazant Z P.Damage and plasticity in microplane theory.Int J of Solids and Structures,1997,34(8): 3807～3835
64 Lira T J,McDowell D L.Mechanical behavior of an Ni-Ti shape memory alloy under axial-torsional proportional and nonproportional loading.Journal of Engineering Materials and Technology-Transaction of the ASME,1999,121(1): 9～18
65 Brocca M,Bazant Z P.Microplane model and metal plas- ticity.Applied Mechanics Reviews,2000,53(10):265～281
66 Jia J,Rogers C A.Formulation of a mechanical model of composite laminate with SMA actuators imbedded.In:Pro- ceedings of the 8~(th)Biennial ASME Conference on Failure Prevention and Reliability,Montreal,1989
67邹静,钟伟芳,王兴光．含形状记忆合金纤维的复合材料层合板的弯曲及自由振动的有限元分析．固体力学学报,2000,21(1) 27～32
68 Marfia S,Sacco E,Reddy J N.Superelastic and shape mem- ory effects in laminated shape-memory-alloy beams.AIAA Journal,2003,41(1):100～109.
69 Ostachowicz W,Krawczuk M,Zak A.Natural frequencies of multi-layer composite plate with embedded shape mem- ory alloy wires.Journal of Intelligent Material Systems and Structures,1998,9(3): 232～237
70 Zak A J,Cartmell M P,Ostachowicz W.Dynamics of mul- tilayered composite plates with shape memory alloy wires. Journal of Applied Mechanics,Transactions of the ASME, 2003,70(3):313～327
71 Stalmans R.Properties of Shape Memory Alloys.Bel- gium:Catholi University of Metallurgy and Materials Sci- ence,1993
72 Stalmans R,Humbeeck V,Delaey L.Thermodynamic mod- eling of shape memory behavior:some examples.J de Physique,1995,5:C8.2032C8.208
73郑雁军,崔立山,杨大智．TiNi形状记忆合金回复力模型．大连理工大学学报,2000,40(2):180～182
74 Liang,Rogers C A.The multi-dimensional constitutive re- lations of shape memory alloys.AIAA Paper 9121165,1991
75 Rogers C A,Liang,Jia J.Structural modification of simply- supported laminated plates using embedded shape memory alloy fibers.Computers and Structures,1991,38:569～580
76 Birman V,et al.Micromechanics of composites with shape memory alloy fibers inuniform thermal fields.JAIAA,1996, 34(9):1905～1912
77 Aboudi J.Closed form constitutive equations for metal ma- trix composites.J Engng Sci,1987,25(9):1229～1240
78 Cherkaoui M,Sun Q P,Song G Q.Micromechanics modeling of composite with ductile matrix and shape memory alloy reinforcement.International Journal of Solids and Struc- tures,2000,37:1577～1594
79 Briggs P J,Ponte C P.Variational estimates for the effective response of shape memory alloy actuated fiber composites. Journal of Applied Mechanics,2002,69:470～480
80 Kawai M.Effects of matrix inelasticity on the overall hys- teretic behavior of TiNi-SMA fiber composites.Interna- tional Journal of Plasticity,2000,16:263～282
81 Lu Z K,Weng G J.A two-level micromechanical theory for shape-memory alloy reinforced composite.International Journal of Plasticity,2000,16:1289～1307
82 Marfia S,Sacco E.Micromechanics and homogenization of SMA-wire reinforced materials.Journal of Applied Mechan- ics,2005,72:259～268
83刘爱荣,禹奇才,潘亦苏,周本宽．形状记忆合金纤维复合材料的等效力学行为．计算力学学报,2004,21(2):236～246
84刘爱荣,潘亦苏,周本宽．形状记忆合金的宏观热力学行为．计算力学学报,2002,19(1):48～52
85 Mori Tanaka K.Average stress in matrix and average elastic energy of materials with misfitting inclusions.Acta Metal- lurgica,1973,21:571～574
86 Lagoudas D C,Body J G,Bo Z.Micromechanics of active composites with SMA fibers.Journal of Engineering Ma- terials and Technology,Transactions of the ASME,1994, 116(3):337～347
87张臻,沈亚鹏。王健．形状记忆合金短纤维增强弹塑性基体复合材料的力学行为．复合材料学报,2004,21(6):173～179
88胡自力,熊克,王鑫伟．含损伤SMA增强智能复合材料的一维增量本构关系．南京航空航天大学学报,2003,35(5):468～473
89 Baburaj V,Matsuzaki Y.Material damping analysis of a smart hybrid composite lamina.J Intell Mater Syst Struct, 1994,5:647～653
90 Baburaj V.An accurate prediction of specific damping ca- pacity of TiNi SMA composite through a three-dimensional constitutive model.J IntellMater Syst Struct,1996,7: 145～149
91 Gilat R,Aboudi J.Dynamic response of active composites plates:shape memory alloy fibers in polymeric/metallic ma- trices.International Journal of Solids and Structures,2004, 41:5717～5731
92 Macfia S.Micro-macro analysis of shape memory alloy com- posites.International Journal of Solids and Structures, 2005,42:3677～3699
93 Souza A C,Mamiya E N,Zouain N.Three-dimensional model for solids undergoing stress-induced phase transfor- mations.European Journal of Mechanics A/Solids,1998, 17:789～806
94 Auricchio F,Petrini L.Improvements and algorithmicai con- siderations on a recent three-dimensional model describing stress induced solid phase transformation.International Journal for Numerical Methods in Engineering,2002,55: 1255～1284
95 Auricchio F,Petrini L.A three dimensional model describ- ing stress-temperature induced solid phase transformations: solution algorithm and boundary value problems.Interna- tional Journal for Numerical Methods in Engineering,2004, 61:807～836
96 Rogers C A,Liang C,Jia J.Behavior of shape memory al- loy reinforced plates.I-Model formulations and control con- cepts.In: AIAA,Virginia Polytechnic Institute and State University,Blacksburg,1989.1380～1389
97 Liang C,Rogers C A.Design of shape memory alloy springs with applications in vibration control.J Vibration and Acoustics,1993,115:129～135
98 Rogers C A,Liang C.Utilization of intelligent material sys- tems in active vibration control alloy.In:120th Meeting of the Acoustical Society of American,San Diego CA,1990. 26～30
99刘爱荣,潘亦苏,周本宽．形状记忆合金弹簧变形分析及其在振动控制中的应用．西南交通大学学报,2000,35(1):81～85
100 Baz A,Imam K,McCoy J.Active vibration control of flex- ible beams using shape memory actuators.J of Sound and Vibration,1990,140(3):437～456
101 Choi S B,Park Y,Fukuda T.A proof-of-concept investiga- tion on active vibration control of hybrid smart structures. Mechatronics,1998,8(6):73～89
102 Choi S,Cheong C C.Vibration control of a flexible beam using shape memory alloy actuators.J Guid Control Dyn, 1996,19(1):78～80
103 Chen Q,Levy C.Vibration analysis and control of flexible beam by using smart damping structures.Composites:Part B,1999,30:395～406
104 Chen Q,Levy C.Active vibration control of shape memory alloy layers.Smart Mater Struct,1996,9:400～406
105彭刚,李黎,唐家祥．建筑结构的SMA被动振动控制方法．力学季刊,2003,24(2):250～256
106姜袁,彭刚．SMA阻尼器在土木结构被动控制中的运用．应用力学学报,2004,21(4):88～92
107卞晓芳,薛素铎．SMA-MR复合型阻尼器．世界地震工程．2004,20(2):23～29
108薛素铎,周乾．SMA橡胶复合支座在空间网壳结构中的隔震研究．北京工业大学学报,2004,30(2):176～179
109 Ottavia C.Shape memory alloys and their application in structural oscillations attenuation.Simulation Modelling Practice and Theory,2003,11:387～402
110 Higasino M,Aizawa S,Clark P W.Experimental and analyt- ical studies of structural control system using shape memory alloy.In:Proceedings of the 2nd International Work shop on Structural Control.Hong Kong,HKUST,1996.221～229
111 Paine J S N,Roger C A.Adaptive composite materials with shape memory alloy actuators for cylinders and pressure ves- eels.Journal of Intelligent Material System and Structure, 1995,6:210～219
112张学仁,聂景旭,杜彦良．主动控制裂纹智能复合构件的有限元分析．复合材料学报,1999,16(2):147～151
113张学仁,聂景旭,杜彦良．SMA智能复合构件控制裂纹的数值与试验研究．航空动力学报,1998,13(14):357～361
114肖尔田,韩玉林,李爱群等．基于形状记忆合金超弹性阻尼器的结构振动控制和地震时程分析．东南大学学报(自然科学版),2003, 133(15):605～609
115王健,沈亚鹏．形状记忆合金作动器的设计及优化．力学学报, 1998,30(4):450～460
116李忠献,陈海泉,李延涛．斜拉桥参数振动有限元分析与半主动控制．工程力学,2004,21(1):131～135
117 Hiroyuki Tamai,Yoshikazu Kitagawa.Pseudoelastic behav- ior of shape memory alloy wire and its application to seismic resistance member for building.Computational Materials Science,2002,25:218～227
118 Burton D S,Gao X,Brinson L C.Finite element simulation of a self-healing shape memory alloy composite.Mechanics of Materials,2006,38:525～537
119 Wu K H.Development of high temperature two-way shape memory alloy.U.S.Army Office Aro Project DAAL03-91- G-0245,1995
2 Tanaka K,Nagaki S.A thermomechanical description of ma- terials with internal variables in the process of phase tran- sitions.Ing Arch,1982,51:287～299
3 Tanaka K,Nishimura F,Hayashi T,et al.Phenomenological analysis on sub-loops and cyclic behavior in shape memory alloys under mechanical and/or thermal loads.Mechanics of Materials,1995,19:281～292
4 Tanaka K,Nishimura F,Tobushi H.Transformation start lines in TiNi and Fe-based shape memory alloys after incom- plete transformations induced by mechanical and/or ther- mal loads.Mechanics of Materials,1995,19:271～280
5 Tanaka K,Nishimura F,Matsui M,et al.Phenomenolog- ical analysis of plateaus on stress-strain hysteresis in TiNi shape memory alloy wires.Mechanics of Materials,1996, 24:19～30
6 Liang C.The constitutive modeling of shape memory al- loys:[dissertation].USA:Virginia Polytechnic Institute and State University,1990
7 Liang C,Rogers C A.One-dimensional thermomechanical constitutive relations for shape memory materials.J Intell Marl Syst Struct,1990,1(2):207～234
8 Liang C,Rogers C A.A multi-dimensional constitutive model for shape memory alloys.Journal of Engineering Mathematics,1992,26:429～443
9 Brinson L C.One dimensional constitutive behavior of shape memory alloys:thermomecanical derivation with non- constant material functions.J Intell Marl Syst Struct,1993, 4(2):229～242
10 Brinson L C,Lammering R.Finite element analysis of the behavior of shape memory alloys and their applications.Int J Solids Structures,1993,30(23):3261～3280
11 Brinson L C,Huang M S.A new look at SMA constitu- tive models:comparisons and micromechanics.In:ASME Summer Meeting.Los Angeles,CA,ASME,Carman G,ed. 1995
12 Brinson L C,Huang M S.Simplifications and comparisons of shape memory alloy constitutive models.J Intell Matl Syst Struct,1996,7:108～114
13 Huang M S,Brinson L C.A multivariant model for single crystal shape memory alloys.J Mech Phys Solids,1998,46: 1379～1409
14 Boyd J G,Lagoudas D C.Thermomechanical response of shape memory composites.J Intell Matl Syst & Struct, 1994,5:333～346
15 Boyd J G,Lagoudas D C.A thermodynamic constitutive model for the shape memory materials,partⅠ.The mono- lithic shape memory alloys.Int J Plast,1995,12:805～842
16 Boyd J G,Lagoudas D C.A thermodynamic constitutive model for the shape memory materials,partⅡ.the SMA composite material.Int J Plast,1995,12(7):843～873
17 Lagoudas D C,Bo Z,Qidwai M A.A unified thermody- namic constitutive model for sma and finite element analysis of active metal matrix composites.Mechanics of Composite Materials and Structures,1996,3:153～179
18 Lagoudas D C,Moorthy D,Qidwai M A,et al.Modeling of the thermomechanical response of active laminates with SMA strips using the layerwise finite element method.J Intell Matl Syst Struct,1997,8(6):476～488
19 Lagoudas D C,Boyd J G,Bo Z.Micromechanics of active composites with SMA fibers.ASME Journal of Engineering Materials and Technologies,1994,116:337～347
20 Ivshin Y,Pence T J.A thermomecanical model for a one variant shape memory material.J Intell Marl Syst Struct, 1994,5:455～473
21 Ivshin Y,Pence T J.A constitutive model for hysteretic phase transition behavior.Int J Eng Sci,1994,32:681～704
22 Auricchio F,Robert L,Taylor.Shape-memory alloys:mod- eling and numerical simulations of the finite-strain supere- lastic behavior.Comput Methods Appl Mech Engrg,1997, 143:175～194
23 Auricchio F.A temperature-dependent beam for shape- memory alloys:constitutive modeling,finite-element imple- mentation and numerical simulations.Comput Method Appl Math,1999,174(1-2):171～190
24 Auricchio F.Shape Memory Alloys:Applications,Mi- cromechanics,Macromodeling and Numerical Simulations: [dissertation]:Berkeley:University of California,1995
25 ANSYS Company.ANSYS User's Manual.USA,1998
26 Auricchio F,Marfia S,Sacco E.Modeling of SMA materi- als: training and two way memory effects.Computers and Structures,2003,81:2301～2317
27 Auricchio F,Sacco E.Thermo-mechanical modeling of a superelastic shape-memory wire under cyclic stretching- bending loadings,lnt J Solids Struct,2001,38:6123～6145
28 Hashin Z.Theory of fiber reinforced materials.NASACR- 21974,USA,1974
29 Christensen R M,Lo K H.Solutions for effective shear prop- erties of three-phase sphere and cylinder.J Mech and Phy Solids,1979,37:315～330
30 Sullivan B J.Analysis of properties of fiber composites with shape memory alloy constituents.J Intell Mater Syst Struct,1994,5:825～832
31 Aboudi J.The response of shape memory alloy composites. Smart Mater Struct,1997,6:1～9
32 Stalmans R,Delaey L,Van Humbeeck J.Modeling of adap- tive composite materials with embedded shape memory alloy wires.In:Materials Research Society Symposium Proceed- ings,Boston,1997,459.119～130
33陶宝祺．智能材料结构．北京:国防工业出版社．1999
34邓宗才,李庆斌．形状记忆合金混凝土轴心构件的变形特性．清华大学学报(自然科学版),2002,42(1):1544～1547
35朱炜国,吕和祥,杨大智．一个新的形状记忆合金模型．应用数学和力学,2002,123(9):896～902
36彭向和,韩勇,黄尚廉．形状记忆合金拟弹性行为的热力学描述．应用力学学报,2000,17(1):60～67
37邹静,钟伟芳．形状记忆合金的多维本构关系．固体力学学报, 1999,20(2):171～176
38 Du X W,Sun G,Sun S S.Piecewise linear constitutive re- lation for pseudo-elasticity of shape memory alloy(SMA). Materials Science and Engineering A,2005,393:332～337
39 Magee C L.The Nucleation of Martensite in phase Trans- formations.London:American Society for Metals,1970,5: 115
40 Patoor E,Eberhardt A,Berveiller M.Thermomechanical behavior of shape memory alloys.Arch Mech,1988,40(5- 6):775～794
41 Patoor E,Eberhardt A,Berveiller M.Micromechanical mod- eling of superelasticity in shape memory alloys.Pitman Re- search Notes in Mathematics Series,1993,296:38～54
42 Patoor E,Eberhardt A.Micromechanical modeling of su- perelasticity in shape memory alloys.J PhysⅣ,1996,1(6): 277～292
43 Sun Q P,Hwang K C.Micromechanics modeling for the con- stitutive behavior of polycrystalline shape memory alloys. J Mech Phys Solids,1993,41(1):1～17
44 Goo B C,Lexcellent C.Micromechanics based modeling of two-way memory effect of a single crystalline shape memory alloy.Acta Metall,1997,45:727～737
45 Dimitrls C,Lagoudas,Bo Z H.Thermomechanical modeling of polycrystalline SMAs under cyclic loading,PartⅡ:ma- terial characterization and experimental results for a stable transformation cycle.International Journal of Engineering Science,1999,37:1141～1173
46 Lu Z K,Weng G J.Martensitic transformations and stress- Strain Relations of shape-memory alloys.J Mech Phys Solids,1997,45:1905～1928
47 Thamburaja P.Constitutive equations for martensitic reori- entation and detwinning in shape-memory alloys.Journal of the Mechanics and Physics of Solids,2005,53:825～856
48 Patoor E,Dimitris C,Lagoudas,Pavlin B,et al.Shape memory alloys,PartⅠ:General properties and modeling of single crystals.Mechanics of Materials,2006,38:391～429
49 Xie Z,Liu Y,Humbeeck J.Microstructure of NiTi shape memory alloy due to tension-compression cyclic deforma- tion.Acta Materialia,1998,46:1989～2000
50 Thamburaja P,Anand L.Superelastic behavior in tension- torsion of an initially textured NiTi shape memory alloy.Int J Plasticity,2002,18:1607～1617
51 Lim T J,McDowell D L.Cyclic thermomechanical behav- ior of a polycrystalline pseudoelastic shape memory alloy.J Mech Phys Sol,2002,50:651～676
52 Peultier B,Ben T,Zineb E.Patoor.Macroscopic consti- tutive law of shape memory alloy thermomechanical be- haviour.Application to structure computation by FEM. Mechanics of Materials,2005:1～15
53 Achenbach M,Muller I.Creep and yield in martensite transformations.Ingenieur Archly,1983,53(1): 73～83
54 Graesser E J,Cozzarelli F A.Shape memory alloys as new materials for seismic isolation.J Eng Mechanics ASCE, 1992,26(1):117～119
55 Graesser E J,Cozzarelli F A.A proposed three dimensional constitutive for SMAs.J of intell Mater Syst and Struct, 1994,5:78～79
56 Alberto Pairs,Marcelo Amorim Savi.A constitutive model for shape memory alloys considering tensile-compressive asymmetry and plasticity.International Journal of Solids and Structures,2005,42:3439～3457
57秦荣．智能结构力学．北京:科学出版社,2005
58彭向和,陈斌．SMA形状记忆行为的描述．功能材料,1998, 10(增刊):694～696
59彭向和,韩勇,黄尚廉．SMA伪弹性和形状记忆特性的描述．重庆大学学报(自然科学版),1999,22(1):1～6
60李海涛,彭向和,黄尚廉．形状记忆合金的一种基于经典塑性理论的两相混和本构模型．固体力学学报,2004,25(1):58～62
61 Brocca M,Brinson L C,Bazant Z P.Three dimen- sional constitutive model for shape memory alloys based on microplane model.J Mech Phys Solids,2002,50(2): 1051～1077
62 Taylor G I.Plastic strain in metals.J Inst Metals,1938,63: 307～324
63 Carol I,Bazant Z P.Damage and plasticity in microplane theory.Int J of Solids and Structures,1997,34(8): 3807～3835
64 Lira T J,McDowell D L.Mechanical behavior of an Ni-Ti shape memory alloy under axial-torsional proportional and nonproportional loading.Journal of Engineering Materials and Technology-Transaction of the ASME,1999,121(1): 9～18
65 Brocca M,Bazant Z P.Microplane model and metal plas- ticity.Applied Mechanics Reviews,2000,53(10):265～281
66 Jia J,Rogers C A.Formulation of a mechanical model of composite laminate with SMA actuators imbedded.In:Pro- ceedings of the 8~(th)Biennial ASME Conference on Failure Prevention and Reliability,Montreal,1989
67邹静,钟伟芳,王兴光．含形状记忆合金纤维的复合材料层合板的弯曲及自由振动的有限元分析．固体力学学报,2000,21(1) 27～32
68 Marfia S,Sacco E,Reddy J N.Superelastic and shape mem- ory effects in laminated shape-memory-alloy beams.AIAA Journal,2003,41(1):100～109.
69 Ostachowicz W,Krawczuk M,Zak A.Natural frequencies of multi-layer composite plate with embedded shape mem- ory alloy wires.Journal of Intelligent Material Systems and Structures,1998,9(3): 232～237
70 Zak A J,Cartmell M P,Ostachowicz W.Dynamics of mul- tilayered composite plates with shape memory alloy wires. Journal of Applied Mechanics,Transactions of the ASME, 2003,70(3):313～327
71 Stalmans R.Properties of Shape Memory Alloys.Bel- gium:Catholi University of Metallurgy and Materials Sci- ence,1993
72 Stalmans R,Humbeeck V,Delaey L.Thermodynamic mod- eling of shape memory behavior:some examples.J de Physique,1995,5:C8.2032C8.208
73郑雁军,崔立山,杨大智．TiNi形状记忆合金回复力模型．大连理工大学学报,2000,40(2):180～182
74 Liang,Rogers C A.The multi-dimensional constitutive re- lations of shape memory alloys.AIAA Paper 9121165,1991
75 Rogers C A,Liang,Jia J.Structural modification of simply- supported laminated plates using embedded shape memory alloy fibers.Computers and Structures,1991,38:569～580
76 Birman V,et al.Micromechanics of composites with shape memory alloy fibers inuniform thermal fields.JAIAA,1996, 34(9):1905～1912
77 Aboudi J.Closed form constitutive equations for metal ma- trix composites.J Engng Sci,1987,25(9):1229～1240
78 Cherkaoui M,Sun Q P,Song G Q.Micromechanics modeling of composite with ductile matrix and shape memory alloy reinforcement.International Journal of Solids and Struc- tures,2000,37:1577～1594
79 Briggs P J,Ponte C P.Variational estimates for the effective response of shape memory alloy actuated fiber composites. Journal of Applied Mechanics,2002,69:470～480
80 Kawai M.Effects of matrix inelasticity on the overall hys- teretic behavior of TiNi-SMA fiber composites.Interna- tional Journal of Plasticity,2000,16:263～282
81 Lu Z K,Weng G J.A two-level micromechanical theory for shape-memory alloy reinforced composite.International Journal of Plasticity,2000,16:1289～1307
82 Marfia S,Sacco E.Micromechanics and homogenization of SMA-wire reinforced materials.Journal of Applied Mechan- ics,2005,72:259～268
83刘爱荣,禹奇才,潘亦苏,周本宽．形状记忆合金纤维复合材料的等效力学行为．计算力学学报,2004,21(2):236～246
84刘爱荣,潘亦苏,周本宽．形状记忆合金的宏观热力学行为．计算力学学报,2002,19(1):48～52
85 Mori Tanaka K.Average stress in matrix and average elastic energy of materials with misfitting inclusions.Acta Metal- lurgica,1973,21:571～574
86 Lagoudas D C,Body J G,Bo Z.Micromechanics of active composites with SMA fibers.Journal of Engineering Ma- terials and Technology,Transactions of the ASME,1994, 116(3):337～347
87张臻,沈亚鹏。王健．形状记忆合金短纤维增强弹塑性基体复合材料的力学行为．复合材料学报,2004,21(6):173～179
88胡自力,熊克,王鑫伟．含损伤SMA增强智能复合材料的一维增量本构关系．南京航空航天大学学报,2003,35(5):468～473
89 Baburaj V,Matsuzaki Y.Material damping analysis of a smart hybrid composite lamina.J Intell Mater Syst Struct, 1994,5:647～653
90 Baburaj V.An accurate prediction of specific damping ca- pacity of TiNi SMA composite through a three-dimensional constitutive model.J IntellMater Syst Struct,1996,7: 145～149
91 Gilat R,Aboudi J.Dynamic response of active composites plates:shape memory alloy fibers in polymeric/metallic ma- trices.International Journal of Solids and Structures,2004, 41:5717～5731
92 Macfia S.Micro-macro analysis of shape memory alloy com- posites.International Journal of Solids and Structures, 2005,42:3677～3699
93 Souza A C,Mamiya E N,Zouain N.Three-dimensional model for solids undergoing stress-induced phase transfor- mations.European Journal of Mechanics A/Solids,1998, 17:789～806
94 Auricchio F,Petrini L.Improvements and algorithmicai con- siderations on a recent three-dimensional model describing stress induced solid phase transformation.International Journal for Numerical Methods in Engineering,2002,55: 1255～1284
95 Auricchio F,Petrini L.A three dimensional model describ- ing stress-temperature induced solid phase transformations: solution algorithm and boundary value problems.Interna- tional Journal for Numerical Methods in Engineering,2004, 61:807～836
96 Rogers C A,Liang C,Jia J.Behavior of shape memory al- loy reinforced plates.I-Model formulations and control con- cepts.In: AIAA,Virginia Polytechnic Institute and State University,Blacksburg,1989.1380～1389
97 Liang C,Rogers C A.Design of shape memory alloy springs with applications in vibration control.J Vibration and Acoustics,1993,115:129～135
98 Rogers C A,Liang C.Utilization of intelligent material sys- tems in active vibration control alloy.In:120th Meeting of the Acoustical Society of American,San Diego CA,1990. 26～30
99刘爱荣,潘亦苏,周本宽．形状记忆合金弹簧变形分析及其在振动控制中的应用．西南交通大学学报,2000,35(1):81～85
100 Baz A,Imam K,McCoy J.Active vibration control of flex- ible beams using shape memory actuators.J of Sound and Vibration,1990,140(3):437～456
101 Choi S B,Park Y,Fukuda T.A proof-of-concept investiga- tion on active vibration control of hybrid smart structures. Mechatronics,1998,8(6):73～89
102 Choi S,Cheong C C.Vibration control of a flexible beam using shape memory alloy actuators.J Guid Control Dyn, 1996,19(1):78～80
103 Chen Q,Levy C.Vibration analysis and control of flexible beam by using smart damping structures.Composites:Part B,1999,30:395～406
104 Chen Q,Levy C.Active vibration control of shape memory alloy layers.Smart Mater Struct,1996,9:400～406
105彭刚,李黎,唐家祥．建筑结构的SMA被动振动控制方法．力学季刊,2003,24(2):250～256
106姜袁,彭刚．SMA阻尼器在土木结构被动控制中的运用．应用力学学报,2004,21(4):88～92
107卞晓芳,薛素铎．SMA-MR复合型阻尼器．世界地震工程．2004,20(2):23～29
108薛素铎,周乾．SMA橡胶复合支座在空间网壳结构中的隔震研究．北京工业大学学报,2004,30(2):176～179
109 Ottavia C.Shape memory alloys and their application in structural oscillations attenuation.Simulation Modelling Practice and Theory,2003,11:387～402
110 Higasino M,Aizawa S,Clark P W.Experimental and analyt- ical studies of structural control system using shape memory alloy.In:Proceedings of the 2nd International Work shop on Structural Control.Hong Kong,HKUST,1996.221～229
111 Paine J S N,Roger C A.Adaptive composite materials with shape memory alloy actuators for cylinders and pressure ves- eels.Journal of Intelligent Material System and Structure, 1995,6:210～219
112张学仁,聂景旭,杜彦良．主动控制裂纹智能复合构件的有限元分析．复合材料学报,1999,16(2):147～151
113张学仁,聂景旭,杜彦良．SMA智能复合构件控制裂纹的数值与试验研究．航空动力学报,1998,13(14):357～361
114肖尔田,韩玉林,李爱群等．基于形状记忆合金超弹性阻尼器的结构振动控制和地震时程分析．东南大学学报(自然科学版),2003, 133(15):605～609
115王健,沈亚鹏．形状记忆合金作动器的设计及优化．力学学报, 1998,30(4):450～460
116李忠献,陈海泉,李延涛．斜拉桥参数振动有限元分析与半主动控制．工程力学,2004,21(1):131～135
117 Hiroyuki Tamai,Yoshikazu Kitagawa.Pseudoelastic behav- ior of shape memory alloy wire and its application to seismic resistance member for building.Computational Materials Science,2002,25:218～227
118 Burton D S,Gao X,Brinson L C.Finite element simulation of a self-healing shape memory alloy composite.Mechanics of Materials,2006,38:525～537
119 Wu K H.Development of high temperature two-way shape memory alloy.U.S.Army Office Aro Project DAAL03-91- G-0245,1995
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