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Published in: Journal of Materials Engineering and Performance 4-5/2011

01-07-2011

Model and Simulation of an SMA Enhanced Lip Seal

Authors: Rui Qiao, Xiujie Gao, L. Catherine Brinson

Published in: Journal of Materials Engineering and Performance | Issue 4-5/2011

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Abstract

The feasibility of using SMA wires to improve the seal effectiveness has been studied experimentally and numerically. In this article, we present only the numerical study of simulating the thermo-mechanical behavior for an SMA enhanced lip seal, leaving the test setup and results in the experimental counterpart. A pseudo 3D SMA model, considering 1D SMA behavior in the major loading direction and elastic response in other directions, was used to capture the thermo-mechanical behavior of SMA wires. The model was then implemented into ABAQUS using the user-defined material subroutine to inherit most features of the commercial finite element package. Two-way shape memory effect was also considered since the SMA material exhibits strong two-way effects. An axisymmetric finite element model was constructed to simulate a seal mounting on a shaft and the sealing pressure was calculated for both the regular seal and the SMA enhanced seal. Finally, the result was qualitatively compared with the experimental observation.

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Footnotes
1
Note that the thermal expansion coefficient α, instead of Θ is used to calculate the thermal stress in remainder of this article.
 
2
Note that in single crystals the austenite phase is isotropic and the martensite phase is not. In polycrystals, the austenite phase may be textured or random and the martensite phase is even more complex. Since the focus is on the phase transformation which is nearly a volume free change process (Ref 13) we assume both phases are isotropic so that the elastic responses can be described using two constants. Furthermore, we assume they have the same and constant Poisson’s ratio that is independent of the martensite fraction in this article. The derivation is remarkably simplified using this approximation and the difference has little impact on the behavior in the loading direction.
 
3
It can be seen that the Jacobian matrix is not symmetric. Thus, the unsymmetric option must be used in ABAQUS.
 
Literature
1.
go back to reference X. Gao, R. Qiao et al., Experimental Setup and Results of an SMA Enhanced Lip Seal, J. Intell. Mater. Syst. Struct., 2011 (to be submitted) X. Gao, R. Qiao et al., Experimental Setup and Results of an SMA Enhanced Lip Seal, J. Intell. Mater. Syst. Struct., 2011 (to be submitted)
2.
go back to reference X. Gao, R. Qiao, and L.C. Brinson, Phase Diagram Kinetics for Shape Memory Alloys: A Robust Finite Element Implementation, Smart Mater. Struct., 2007, 16, p 2102–2115CrossRef X. Gao, R. Qiao, and L.C. Brinson, Phase Diagram Kinetics for Shape Memory Alloys: A Robust Finite Element Implementation, Smart Mater. Struct., 2007, 16, p 2102–2115CrossRef
3.
go back to reference L.C. Brinson, One Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical derivation with non-constant material functions, J. Intell. Mater. Syst. Struct., 1993, 4(2), p 229–242CrossRef L.C. Brinson, One Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical derivation with non-constant material functions, J. Intell. Mater. Syst. Struct., 1993, 4(2), p 229–242CrossRef
4.
go back to reference L.C. Brinson and M.S. Huang, Simplifications and Comparisons Of Shape Memory Alloy Constitutive Models, J. Intell. Mater. Syst. Struct., 1996, 7(1), p 108–114CrossRef L.C. Brinson and M.S. Huang, Simplifications and Comparisons Of Shape Memory Alloy Constitutive Models, J. Intell. Mater. Syst. Struct., 1996, 7(1), p 108–114CrossRef
5.
go back to reference M.A. Qidwai and D.C. Lagoudas, Numerical Implementation of a Shape Memory Alloy Thermomechanical Constitutive Model Using Return Mapping Algorithms, Int. J. Numer. Methods Eng., 2000, 47, p 1123–1168CrossRef M.A. Qidwai and D.C. Lagoudas, Numerical Implementation of a Shape Memory Alloy Thermomechanical Constitutive Model Using Return Mapping Algorithms, Int. J. Numer. Methods Eng., 2000, 47, p 1123–1168CrossRef
6.
go back to reference J.G. Boyd and D.C. Lagoudas, A Thermodynamical Constitute Model For Shape Memory Materials. 1. The Monolithic Shape Memory Alloy, Int. J. Plast., 1996, 12(6), p 805–842CrossRef J.G. Boyd and D.C. Lagoudas, A Thermodynamical Constitute Model For Shape Memory Materials. 1. The Monolithic Shape Memory Alloy, Int. J. Plast., 1996, 12(6), p 805–842CrossRef
7.
go back to reference A. Bekker and L.C. Brinson, Phase Diagram Based Description of the Hysteresis Behavior of Shape Memory Alloys, Acta Mater., 1998, 46(10), p 3649–3665CrossRef A. Bekker and L.C. Brinson, Phase Diagram Based Description of the Hysteresis Behavior of Shape Memory Alloys, Acta Mater., 1998, 46(10), p 3649–3665CrossRef
8.
go back to reference K. Tanaka, A Thermomechanical Sketch of Shape Memory Effect—One-Dimensional Tensile Behavior, Res. Mech., 1986, 18(3), p 251–263 K. Tanaka, A Thermomechanical Sketch of Shape Memory Effect—One-Dimensional Tensile Behavior, Res. Mech., 1986, 18(3), p 251–263
9.
go back to reference Y. Ivshin and T.J. Pence, A Constitutive Model for Hysteretic Phase-Transition Behavior, Int. J. Eng. Sci., 1994, 32(4), p 681–704CrossRef Y. Ivshin and T.J. Pence, A Constitutive Model for Hysteretic Phase-Transition Behavior, Int. J. Eng. Sci., 1994, 32(4), p 681–704CrossRef
10.
go back to reference C. Segui, E. Cesari, and J. Pons, Phenomenological Modeling of the Hysteresis Loop in Thermoelastic Martensitic Transformations, Mater. Trans. JIM, 1992, 33(7), p 650–658CrossRef C. Segui, E. Cesari, and J. Pons, Phenomenological Modeling of the Hysteresis Loop in Thermoelastic Martensitic Transformations, Mater. Trans. JIM, 1992, 33(7), p 650–658CrossRef
11.
go back to reference C. Liang and C.A. Rogers, One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials, J. Intell. Mater. Syst. Struct., 1990, 1(2), p 207–234CrossRef C. Liang and C.A. Rogers, One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials, J. Intell. Mater. Syst. Struct., 1990, 1(2), p 207–234CrossRef
12.
go back to reference Q.P. Sun and K.C. Hwang, Micromechanics Modeling for the Constitutive Behavior of Polycrystalline Shape Memory Alloys. 1 Derivation of General Relations, J. Mech. Phys. Solids, 1993, 41(1), p 1–17CrossRef Q.P. Sun and K.C. Hwang, Micromechanics Modeling for the Constitutive Behavior of Polycrystalline Shape Memory Alloys. 1 Derivation of General Relations, J. Mech. Phys. Solids, 1993, 41(1), p 1–17CrossRef
13.
go back to reference E. Patoor, M.E. Amrani, A. Eberhardt, and M. Berveiller, Determination of the Origin for Dissymmetry Observed Between Tensile and Compression Tests on Shape Memory Alloys, III European Symposium on Martensitic Transformations: ESOMAT’94, Barcelona, Spain, J. Phys. IV, Colloq. (France), Vol 5, no C2, A. Planes, J. Ortín, and L. Mañosa, Eds., Editions de Physique, Les Ulis, France, 1995, p 495–500 E. Patoor, M.E. Amrani, A. Eberhardt, and M. Berveiller, Determination of the Origin for Dissymmetry Observed Between Tensile and Compression Tests on Shape Memory Alloys, III European Symposium on Martensitic Transformations: ESOMAT’94, Barcelona, Spain, J. Phys. IV, Colloq. (France), Vol 5, no C2, A. Planes, J. Ortín, and L. Mañosa, Eds., Editions de Physique, Les Ulis, France, 1995, p 495–500
14.
go back to reference F. Auricchio, S. Marfia, and E. Sacco, Modeling of SMA Materials: Training and Two Way Memory Effects, Comput. Struct., 2003, 81(24–25), p 2301–2317CrossRef F. Auricchio, S. Marfia, and E. Sacco, Modeling of SMA Materials: Training and Two Way Memory Effects, Comput. Struct., 2003, 81(24–25), p 2301–2317CrossRef
15.
go back to reference A. Amengual, E. Cesari, and R. Romero, On the Relationship Between Temperature and Critical Stress in the 2-Way Shape-Memory Effect of Cu-Zn-Al Single-Crystals, Scripta Metall. Mater., 1995, 32(8), p 1269–1275CrossRef A. Amengual, E. Cesari, and R. Romero, On the Relationship Between Temperature and Critical Stress in the 2-Way Shape-Memory Effect of Cu-Zn-Al Single-Crystals, Scripta Metall. Mater., 1995, 32(8), p 1269–1275CrossRef
16.
go back to reference H. Prahlad and I. Chopra, Experimental Characterization of Ni-Ti Shape Memory Alloy Wires Under Uniaxial Loading Conditions, J. Intell. Mater. Syst. Struct., 2000, 11(4), p 272–282 H. Prahlad and I. Chopra, Experimental Characterization of Ni-Ti Shape Memory Alloy Wires Under Uniaxial Loading Conditions, J. Intell. Mater. Syst. Struct., 2000, 11(4), p 272–282
17.
go back to reference B. Peultier, T. Ben Zineb, and E. Patoor, Macroscopic Constitutive Law of Shape Memory Alloy Thermomechanical Behaviour. Application to Structure Computation by FEM, Mech. Mater., 2006, 38(5–6), p 510–524CrossRef B. Peultier, T. Ben Zineb, and E. Patoor, Macroscopic Constitutive Law of Shape Memory Alloy Thermomechanical Behaviour. Application to Structure Computation by FEM, Mech. Mater., 2006, 38(5–6), p 510–524CrossRef
18.
go back to reference X.D. Wu, G.J. Sun, and J.S. Wu, The Nonlinear Relationship Between Transformation Strain and Applied Stress for Nitinol, Mater. Lett., 2003, 57(7), p 1334–1338CrossRef X.D. Wu, G.J. Sun, and J.S. Wu, The Nonlinear Relationship Between Transformation Strain and Applied Stress for Nitinol, Mater. Lett., 2003, 57(7), p 1334–1338CrossRef
19.
go back to reference R. Lahoz and J.A. Puertolas, Training and Two-Way Shape Memory in NiTi Alloys: Influence on Thermal Parameters, J. Alloys Compd., 2004, 381(1–2), p 130–136CrossRef R. Lahoz and J.A. Puertolas, Training and Two-Way Shape Memory in NiTi Alloys: Influence on Thermal Parameters, J. Alloys Compd., 2004, 381(1–2), p 130–136CrossRef
20.
go back to reference P. Rae and D. Dattelbaum, The Properties of poly(tetrafluoroethylene) (PTFE) in Compression, Polymer, 2004, 45, p 7615–7625CrossRef P. Rae and D. Dattelbaum, The Properties of poly(tetrafluoroethylene) (PTFE) in Compression, Polymer, 2004, 45, p 7615–7625CrossRef
Metadata
Title
Model and Simulation of an SMA Enhanced Lip Seal
Authors
Rui Qiao
Xiujie Gao
L. Catherine Brinson
Publication date
01-07-2011
Publisher
Springer US
Published in
Journal of Materials Engineering and Performance / Issue 4-5/2011
Print ISSN: 1059-9495
Electronic ISSN: 1544-1024
DOI
https://doi.org/10.1007/s11665-011-9893-4

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