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Theoretical Investigation on the Stress-Strain Relationship for the Porous Shape Memory Alloy  

Lee Jae-Kon (대구가톨릭대학교 기계자동차공학부)
Yum Young-Jin (울산대학교 기계자동차공학부)
Choi Sung-Bae (대구가톨릭대학교 기계자동차공학부)
Publication Information
Composites Research / v.17, no.6, 2004 , pp. 8-13 More about this Journal
Abstract
A new three-dimensional model fur stress-strain relation of a porous shape memory alloy has been proposed, where Eshelby's equivalent inclusion method with Mori-Tanaka's mean field theory is used. The predicted stress-strain relations by the present model are compared and show good agreements with the experimental results for the Ni-Ti shape memory alloy with porosity of 12%. Unlike linear stress-strain relations during phase transformations by other models from the literature, the present model shows nonlinear stress-strain relation in the vicinity of martensite finish region.
Keywords
porous shape memory alloy; Eshelby's equivalent inclusion method; Mori-Tanaka's mean field theory; phase transformation;
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1 Furuya Y and Taya M, 'Enhancement of High Temperature Mechanical Strength of Ti-Ni Fiber/AI Composite Induced by Shape Memory Effect,' Trans. Japan Inst. Metals. Vol. 60, No. 12, 1996, pp. 1163-1172
2 Porter GA, Liaw PK, Tiegs TN, and Wu KH, 'Fatigue and fracture behavior of nickel-titanium shape-memory alloy reinforced aluminum composites,' Materials Science and Engineering, Vol. A314, 2001, pp. 186-193
3 Cherkaoui M, Sun QP, and Song GQ, 'Micromechanics modeling of composite with ductile matrix and shape memory alloy reinforcement,' Int. J of Solids and Structures, Vol. 37, 2000, pp. 1577-1594
4 Taya M and Zhao Y, 'Design of High Energy Absorbing Materials via Porous Materials,' Report to UCSD, 2003
5 Shimamoto A and Taya M, 'Reduction Kl by Shape Memory Fiber-Reinforced Epoxy Matrix Composite,' Trans. JSME, Vol. 63, No. 605, 1997, pp. 26-31   DOI
6 Lee JK, 'AE characteristic of the damage behavior of TiNi/AI6061 SMA composite,' Composite Structures, Vol. 60, 2003, pp. 255-263
7 Eshelby JD, 'The determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems,' Proc. of the Royal Society of London, Vol. A241, 1957, pp. 376-396
8 Armstrong WD and Lorentzen T, 'Fiber phase transformation and matrix plastic flow in a room temperature tensile strained NiTi shape memory alloy fiber reinforced 6082 aluminum matrix composite,' Scripta Materialia, Vol. 36, No.9, 1997, pp. 1037-1043   DOI   ScienceOn
9 Tanaka K, 'A thermomechanical sketch of shape memory effect: one-dimensional tensile behavior,' Res Mechanica, Vol. 18, 1986, pp. 251-263
10 김홍건， '형상기억입자 강화 복합체의 탄성계수 평가,' 대한기계학회논문집 A권，제 25권 제l호，2001, pp. 25-31   과학기술학회마을
11 Mori T and Tanaka K, 'Average Stress in the Matrix and Average Elastic Energy of Materials with Misfitting Inclusions,' Acta Metallurgica, Vol. 21, 1973, pp.571-574
12 Hamada K, Lee JH, Mizuuchi K, Taya M, and Inoue K, 'Thermomechanical Behavior of TiNi Shape Memory Alloy Fiber Reinforced 6061 Aluminum Matrix Composite,' Metallurgical and Materials Transactions, Vol. 29A, 1998, pp. 1127-1135
13 안득만, 김영구, 김부섭, 박익민, 조경목, 최일동, '단섬유 형상기억합금에 의한 복합재료의 강화기구 해석,' 한국복합재료학회지, 10권 3호, 1997, pp.1-15
14 Armstrong WD, Lorentzen T, Brondsted P and Larsen PH, 'An experimental and modeling investigation of the external strain, internal stress and fiber phase transformation behavior of a TiNi actuated aluminum metal matrix composite,' Acta mater., Vol. 46, No. 10, 1998, pp. 3455-3466   DOI   ScienceOn
15 Taya M, Shimamoto A, and Furuya Y, 'Design of Smart Composites Based on Shape Memory Effect,' Proc. of ICCM-10, Vol. 5, 1995, pp. 275-282
16 Dunn ML and Taya M., 'Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites,' Int. J Solids Structures, Vol. 30, No. 2, 1993, pp. 161-175   DOI   ScienceOn
17 Carvalho FCS and Labuz JF, 'Experiments on Effective Elastic Modulus of Two-Dimensional Solids with Cracks and Holes,' Int. J Solids Structures, Vol. 33, No. 28, 1996, pp. 4119-4130   DOI   ScienceOn
18 Wu TL, 'Micromechanics determination of electroelastic properties of piezoelectric materials containing voids,' Materials Science and Engineering, Vol. A280, 2000, pp. 320-327
19 Auricchio A, Marfia S, and Sacco E, 'Modeling of SMA materials: Training and two way memory effects,' Computers and Structures, Vol. 81, 2003, pp. 2301-2317
20 Qidwai MA, Entchev PB, Lagoudas DC, and DeGiorgi VG, 'Modeling of the thermomechanical behavior of porous shape memory alloys,' Int. Journal of Solids and Structures, Vol. 38, 2001, pp. 8653-8671
21 Entchev PB and Lagoudas DC, 'Modeling porous shape memory alloys using micromechanical averaging techniques,' Mechanics of Materials, Vol. 34, 2002, pp. 1-24
22 Lee WB, Jie M, and Tang CY, 'Constitutive modeling of aluminum matrix NiTi fiber-reinforced smart composite,' J Materials Processing Technology, Vol. 116, 2001, pp. 219-223
23 Yamada Y, Taya M, and Watanabe R, 'Strengthening of Metal Matrix Composite by Shape Memory Effect,' Materials Transactions JIM, Vol. 34, No.3, 1993, pp. 254-260   DOI
24 Tanaka K, Ohnami D, Watanabe T, and Kosegawa J, 'Micromechanical simulations of thermomechanical behavior in shape memory alloys: transformation conditions and thermomechanical hystereses,' Mechanics of Materials, Vol. 34, 2002, pp. 279-298
25 Furuya Y, Sasaki A, and Taya M, 'On Enhanced Mechanical Properties of TiNi Shape Memory Fiber/AI Matrix Composite,' Mater Trans JIM, Vol. 34, 1993, pp. 224-227