메뉴 건너뛰기




Volumn 35, Issue , 2012, Pages 13-30

A thermodynamically-consistent 3 D constitutive model for shape memory polymers

Author keywords

Continuum thermodynamics; Finite element; Numerical solution; Shape memory polymers

Indexed keywords

ADDITIVE DECOMPOSITION; CLAUSIUS-DUHEM INEQUALITY; CONTINUUM THERMODYNAMICS; EVOLUTION EQUATIONS; EVOLUTION LAW; EXPERIMENTAL DATA; FINITE ELEMENT; IMPLICIT FORM; INTERNAL VARIABLES; MEDICAL STENT; MULTIAXIAL; NUMERICAL SOLUTION; SECOND LAW OF THERMODYNAMICS; SHAPE MEMORY POLYMERS; SMALL STRAINS; THERMO-MECHANICAL LOADING; TIME-DEPENDENT; TWO BOUNDARY VALUE PROBLEMS; VISCOUS EFFECT;

EID: 84861583658     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2012.01.007     Document Type: Article
Times cited : (140)

References (62)
  • 4
    • 79955665524 scopus 로고    scopus 로고
    • A finite strain kinematic hardening constitutive model based on hencky strain: General framework, solution algorithm and application to shape memory alloys
    • J. Arghavani, F. Auricchio, and R. Naghdabadi A finite strain kinematic hardening constitutive model based on hencky strain: general framework, solution algorithm and application to shape memory alloys International Journal of Plasticity 27 2011 940 961
    • (2011) International Journal of Plasticity , vol.27 , pp. 940-961
    • Arghavani, J.1    Auricchio, F.2    Naghdabadi, R.3
  • 6
    • 33847368481 scopus 로고    scopus 로고
    • Shape-memory behavior of thermally stimulated polyurethane for medical applications
    • G. Baer, T. Wilson, D. Matthews, and D. Maitland Shape-memory behavior of thermally stimulated polyurethane for medical applications Journal of Applied Polymer Science 103 2007 3882 3892
    • (2007) Journal of Applied Polymer Science , vol.103 , pp. 3882-3892
    • Baer, G.1    Wilson, T.2    Matthews, D.3    Maitland, D.4
  • 9
    • 40849117942 scopus 로고    scopus 로고
    • A thermodynamic framework for the modeling of crystallizable shape memory polymers
    • G. Barot, I. Rao, and K. Rajagopal A thermodynamic framework for the modeling of crystallizable shape memory polymers International Journal of Engineering Science 46 2008 325 351
    • (2008) International Journal of Engineering Science , vol.46 , pp. 325-351
    • Barot, G.1    Rao, I.2    Rajagopal, K.3
  • 10
    • 0034489158 scopus 로고    scopus 로고
    • Analysis of the isothermal mechanical response of a shape memory polymer rheological model
    • A. Bhattacharyya, and H. Tobushi Analysis of the isothermal mechanical response of a shape memory polymer rheological model Polymer Engineering & Science 40 2000 2498 2510
    • (2000) Polymer Engineering & Science , vol.40 , pp. 2498-2510
    • Bhattacharyya, A.1    Tobushi, H.2
  • 11
    • 41749098331 scopus 로고    scopus 로고
    • A constitutive theory for shape memory polymers. Part I. large deformations
    • Y. Chen, and D. Lagoudas A constitutive theory for shape memory polymers. Part I. large deformations Journal of the Mechanics and Physics of Solids 56 2008 1752 1765
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , pp. 1752-1765
    • Chen, Y.1    Lagoudas, D.2
  • 12
    • 41749116846 scopus 로고    scopus 로고
    • A constitutive theory for shape memory polymers. Part II. A linearized model for small deformations
    • Y. Chen, and D. Lagoudas A constitutive theory for shape memory polymers. Part II. A linearized model for small deformations Journal of the Mechanics and Physics of Solids 56 2008 1766 1778
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , pp. 1766-1778
    • Chen, Y.1    Lagoudas, D.2
  • 14
    • 0000316428 scopus 로고    scopus 로고
    • Nonlinear Finite Element Analysis of Solids and Structures
    • J. Wiley Chichester
    • M. Crisfield Nonlinear Finite Element Analysis of Solids and Structures Advanced Topics vol. 2 1997 J. Wiley Chichester
    • (1997) Advanced Topics , vol.2
    • Crisfield, M.1
  • 15
    • 33645682149 scopus 로고    scopus 로고
    • Finite strain 3 D thermoviscoelastic constitutive model for shape memory polymers
    • J. Diani, Y. Liu, and K. Gall Finite strain 3 D thermoviscoelastic constitutive model for shape memory polymers Polymer Engineering and Science 46 2006 486 492
    • (2006) Polymer Engineering and Science , vol.46 , pp. 486-492
    • Diani, J.1    Liu, Y.2    Gall, K.3
  • 16
    • 79951943975 scopus 로고    scopus 로고
    • A torsion test for the study of the large deformation recovery of shape memory polymers
    • J. Diani, C. Fredy, P. Gilormini, Y. Merckel, G. Regnier, and I. Rousseau A torsion test for the study of the large deformation recovery of shape memory polymers Polymer Testing 30 2011 335 341
    • (2011) Polymer Testing , vol.30 , pp. 335-341
    • Diani, J.1    Fredy, C.2    Gilormini, P.3    Merckel, Y.4    Regnier, G.5    Rousseau, I.6
  • 20
    • 80051782692 scopus 로고    scopus 로고
    • Modeling and simulation of the coupled mechanical-electrical response of soft solids
    • Z. Gao, A. Tuncer, and A.M. Cuitiño Modeling and simulation of the coupled mechanical-electrical response of soft solids International Journal of Plasticity 27 2011 1459 1470
    • (2011) International Journal of Plasticity , vol.27 , pp. 1459-1470
    • Gao, Z.1    Tuncer, A.2    Cuitiño, A.M.3
  • 21
    • 70350700678 scopus 로고    scopus 로고
    • Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys
    • D. Hartl, and D. Lagoudas Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys Smart Materials and Structures 18 2009 104017
    • (2009) Smart Materials and Structures , vol.18 , pp. 104017
    • Hartl, D.1    Lagoudas, D.2
  • 22
    • 63049137551 scopus 로고    scopus 로고
    • A large deformation framework for compressible viscoelastic materials: Constitutive equations and finite element implementation
    • K. Hasanpour, S. Ziaei-Rad, and M. Mahzoon A large deformation framework for compressible viscoelastic materials: constitutive equations and finite element implementation International Journal of Plasticity 25 2009 1154 1176
    • (2009) International Journal of Plasticity , vol.25 , pp. 1154-1176
    • Hasanpour, K.1    Ziaei-Rad, S.2    Mahzoon, M.3
  • 24
    • 0033881657 scopus 로고    scopus 로고
    • Finite deformation viscoelasticity laws
    • N. Huber, and C. Tsakmakis Finite deformation viscoelasticity laws Mechanics of Materials 32 2000 1 18
    • (2000) Mechanics of Materials , vol.32 , pp. 1-18
    • Huber, N.1    Tsakmakis, C.2
  • 25
    • 0019229765 scopus 로고
    • Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
    • T. Hughes, and J. Winget Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis International Journal for Numerical Methods in Engineering 15 1980 1862 1867
    • (1980) International Journal for Numerical Methods in Engineering , vol.15 , pp. 1862-1867
    • Hughes, T.1    Winget, J.2
  • 26
    • 45249099590 scopus 로고    scopus 로고
    • Shape memory polymers: A mesoscale model of the internal mechanism leading to the SM phenomena
    • V. Kafka Shape memory polymers: a mesoscale model of the internal mechanism leading to the SM phenomena International Journal of Plasticity 24 2008 1533 1548
    • (2008) International Journal of Plasticity , vol.24 , pp. 1533-1548
    • Kafka, V.1
  • 27
    • 0036023714 scopus 로고    scopus 로고
    • Time and temperature dependent response and relaxation of a soft polymer
    • A. Khan, and O. Lopez-Pamies Time and temperature dependent response and relaxation of a soft polymer International Journal of Plasticity 18 2002 1359 1372
    • (2002) International Journal of Plasticity , vol.18 , pp. 1359-1372
    • Khan, A.1    Lopez-Pamies, O.2
  • 28
    • 0034742246 scopus 로고    scopus 로고
    • Finite deformation of a polymer: Experiments and modeling
    • A. Khan, and H. Zhang Finite deformation of a polymer: experiments and modeling International Journal of Plasticity 17 2001 1167 1188
    • (2001) International Journal of Plasticity , vol.17 , pp. 1167-1188
    • Khan, A.1    Zhang, H.2
  • 29
    • 28744447796 scopus 로고    scopus 로고
    • Thermo-mechanical large deformation response and constitutive modeling of viscoelastic polymers over a wide range of strain rates and temperatures
    • A. Khan, O. Lopez-Pamies, and R. Kazmi Thermo-mechanical large deformation response and constitutive modeling of viscoelastic polymers over a wide range of strain rates and temperatures International Journal of Plasticity 22 2006 581 601
    • (2006) International Journal of Plasticity , vol.22 , pp. 581-601
    • Khan, A.1    Lopez-Pamies, O.2    Kazmi, R.3
  • 30
    • 70449533089 scopus 로고    scopus 로고
    • Thermo-mechanical constitutive modeling of shape memory polyurethanes using a phenomenological approach
    • J. Kim, T. Kang, and W. Yu Thermo-mechanical constitutive modeling of shape memory polyurethanes using a phenomenological approach International Journal of Plasticity 26 2010 204 218
    • (2010) International Journal of Plasticity , vol.26 , pp. 204-218
    • Kim, J.1    Kang, T.2    Yu, W.3
  • 31
    • 70350433071 scopus 로고    scopus 로고
    • Kinetics and dynamics of thermally-induced shape-memory behavior of crosslinked short-chain branched polyethylenes
    • I. Kolesov, K. Kratz, A. Lendlein, and H. Radusch Kinetics and dynamics of thermally-induced shape-memory behavior of crosslinked short-chain branched polyethylenes Polymer 50 2009 5490 5498
    • (2009) Polymer , vol.50 , pp. 5490-5498
    • Kolesov, I.1    Kratz, K.2    Lendlein, A.3    Radusch, H.4
  • 32
  • 33
    • 0037204998 scopus 로고    scopus 로고
    • Biodegradable, elastic shape-memory polymers for potential biomedical applications
    • A. Lendlein, and R. Langer Biodegradable, elastic shape-memory polymers for potential biomedical applications Science 296 2002 1673 1676
    • (2002) Science , vol.296 , pp. 1673-1676
    • Lendlein, A.1    Langer, R.2
  • 34
    • 72049094521 scopus 로고    scopus 로고
    • Shape-memory polymers a class of novel smart materials
    • J. Leng, H. Lu, Y. Liu, W. Huang, and S. Du Shape-memory polymers a class of novel smart materials MRS bulletin 34 2009 848 855
    • (2009) MRS Bulletin , vol.34 , pp. 848-855
    • Leng, J.1    Lu, H.2    Liu, Y.3    Huang, W.4    Du, S.5
  • 35
    • 75149192255 scopus 로고    scopus 로고
    • Thermomechanical characterization of a shape memory polymer based self-repairing syntactic foam
    • G. Li, and D. Nettles Thermomechanical characterization of a shape memory polymer based self-repairing syntactic foam Polymer 51 2010 755 762
    • (2010) Polymer , vol.51 , pp. 755-762
    • Li, G.1    Nettles, D.2
  • 36
    • 79955622258 scopus 로고    scopus 로고
    • Thermomechanical behavior of thermoset shape memory polymer programmed by cold-compression: Testing and constitutive modeling
    • G. Li, and W. Xu Thermomechanical behavior of thermoset shape memory polymer programmed by cold-compression: Testing and constitutive modeling Journal of the Mechanics and Physics of Solids 59 2011 1231 1250
    • (2011) Journal of the Mechanics and Physics of Solids , vol.59 , pp. 1231-1250
    • Li, G.1    Xu, W.2
  • 37
    • 0032638448 scopus 로고    scopus 로고
    • Shape-memorized crosslinked ester-type polyurethane and its mechanical viscoelastic model
    • J. Lin, and L. Chen Shape-memorized crosslinked ester-type polyurethane and its mechanical viscoelastic model Journal of Applied Polymer Science 73 1999 1305 1319
    • (1999) Journal of Applied Polymer Science , vol.73 , pp. 1305-1319
    • Lin, J.1    Chen, L.2
  • 38
    • 2642541145 scopus 로고    scopus 로고
    • Thermomechanics of shape memory polymer nanocomposites
    • Y. Liu, K. Gall, M. Dunn, and P. McCluskey Thermomechanics of shape memory polymer nanocomposites Mechanics of Materials 36 2004 929 940
    • (2004) Mechanics of Materials , vol.36 , pp. 929-940
    • Liu, Y.1    Gall, K.2    Dunn, M.3    McCluskey, P.4
  • 39
    • 25444524569 scopus 로고    scopus 로고
    • Thermomechanics of shape memory polymers: Uniaxial experiments and constitutive modeling
    • Y. Liu, K. Gall, M. Dunn, A. Greenberg, and J. Diani Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling International Journal of Plasticity 22 2006 279 313
    • (2006) International Journal of Plasticity , vol.22 , pp. 279-313
    • Liu, Y.1    Gall, K.2    Dunn, M.3    Greenberg, A.4    Diani, J.5
  • 42
    • 0033736672 scopus 로고    scopus 로고
    • Advances in shape memory polymer actuation
    • G. Monkman Advances in shape memory polymer actuation Mechatronics 10 2000 489 498
    • (2000) Mechatronics , vol.10 , pp. 489-498
    • Monkman, G.1
  • 44
    • 47749144713 scopus 로고    scopus 로고
    • A thermoviscoelastic model for amorphous shape memory polymers: Incorporating structural and stress relaxation
    • T. Nguyen, H. Jerry Qi, F. Castro, and K. Long A thermoviscoelastic model for amorphous shape memory polymers: incorporating structural and stress relaxation Journal of the Mechanics and Physics of Solids 56 2008 2792 2814
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , pp. 2792-2814
    • Nguyen, T.1    Jerry Qi, H.2    Castro, F.3    Long, K.4
  • 45
    • 77955673467 scopus 로고    scopus 로고
    • Modeling the relaxation mechanisms of amorphous shape memory polymers
    • T. Nguyen, C. Yakacki, P. Brahmbhatt, and M. Chambers Modeling the relaxation mechanisms of amorphous shape memory polymers Advanced Materials 22 2010 3411 3423
    • (2010) Advanced Materials , vol.22 , pp. 3411-3423
    • Nguyen, T.1    Yakacki, C.2    Brahmbhatt, P.3    Chambers, M.4
  • 46
    • 0034503672 scopus 로고    scopus 로고
    • Analysis of the mechanical behavior of shape memory polymer membranes by nanoindentation, bulging and point membrane deflection tests
    • C. Poilane, P. Delobelle, C. Lexcellent, S. Hayashi, and H. Tobushi Analysis of the mechanical behavior of shape memory polymer membranes by nanoindentation, bulging and point membrane deflection tests Thin Solid Films 379 2000 156 165
    • (2000) Thin Solid Films , vol.379 , pp. 156-165
    • Poilane, C.1    Delobelle, P.2    Lexcellent, C.3    Hayashi, S.4    Tobushi, H.5
  • 48
    • 0037411479 scopus 로고    scopus 로고
    • A micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers
    • S. Reese A micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers International Journal of Plasticity 19 2003 909 940
    • (2003) International Journal of Plasticity , vol.19 , pp. 909-940
    • Reese, S.1
  • 50
    • 78449280632 scopus 로고    scopus 로고
    • Multi-mechanism models: Present state and future trends
    • K. Sai Multi-mechanism models: present state and future trends International Journal of Plasticity 27 2010 250 281
    • (2010) International Journal of Plasticity , vol.27 , pp. 250-281
    • Sai, K.1
  • 52
    • 79951931611 scopus 로고    scopus 로고
    • Thermally-actuated shape-memory polymers: Experiments, theory, and numerical simulations
    • V. Srivastava, S. Chester, and L. Anand Thermally-actuated shape-memory polymers: experiments, theory, and numerical simulations Journal of the Mechanics and Physics of Solids 58 2010 1100 1124
    • (2010) Journal of the Mechanics and Physics of Solids , vol.58 , pp. 1100-1124
    • Srivastava, V.1    Chester, S.2    Anand, L.3
  • 53
    • 0035304045 scopus 로고    scopus 로고
    • Influence of long-term storage in cold hibernation on strain recovery and recovery stress of polyurethane shape memory polymer foam
    • S. Tey, W. Huang, and W. Sokolowski Influence of long-term storage in cold hibernation on strain recovery and recovery stress of polyurethane shape memory polymer foam Smart Materials and Structures 10 2001 321 325
    • (2001) Smart Materials and Structures , vol.10 , pp. 321-325
    • Tey, S.1    Huang, W.2    Sokolowski, W.3
  • 56
    • 0035472986 scopus 로고    scopus 로고
    • Thermomechanical constitutive model of shape memory polymer
    • H. Tobushi, K. Okumura, S. Hayashi, and N. Ito Thermomechanical constitutive model of shape memory polymer Mechanics of Materials 33 2001 545 554
    • (2001) Mechanics of Materials , vol.33 , pp. 545-554
    • Tobushi, H.1    Okumura, K.2    Hayashi, S.3    Ito, N.4
  • 57
    • 77953729476 scopus 로고    scopus 로고
    • Analysis of the finite deformation response of shape memory polymers: II. 1 D calibration and numerical implementation of a finite deformation, thermoelastic model
    • B. Volk, D. Lagoudas, and Y. Chen Analysis of the finite deformation response of shape memory polymers: II. 1 D calibration and numerical implementation of a finite deformation, thermoelastic model Smart Materials and Structures 19 2010 075006
    • (2010) Smart Materials and Structures , vol.19 , pp. 075006
    • Volk, B.1    Lagoudas, D.2    Chen, Y.3
  • 58
    • 77953795568 scopus 로고    scopus 로고
    • Analysis of the finite deformation response of shape memory polymers: I. Thermomechanical characterization
    • B. Volk, D. Lagoudas, Y. Chen, and K. Whitley Analysis of the finite deformation response of shape memory polymers: I. Thermomechanical characterization Smart Materials and Structures 19 2010 075005
    • (2010) Smart Materials and Structures , vol.19 , pp. 075005
    • Volk, B.1    Lagoudas, D.2    Chen, Y.3    Whitley, K.4
  • 59
    • 79955872405 scopus 로고    scopus 로고
    • A thermodynamic consistent damage and healing model for self healing materials
    • G. Voyiadjis, A. Shojaei, and G. Li A thermodynamic consistent damage and healing model for self healing materials International Journal of Plasticity 27 2010 1025 1044
    • (2010) International Journal of Plasticity , vol.27 , pp. 1025-1044
    • Voyiadjis, G.1    Shojaei, A.2    Li, G.3
  • 60
    • 33645681845 scopus 로고    scopus 로고
    • Elastoplasticity beyond small deformations
    • H. Xiao, O.T. Bruhns, and A. Meyers Elastoplasticity beyond small deformations Acta Mechanica 182 2006 31 111
    • (2006) Acta Mechanica , vol.182 , pp. 31-111
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 61
    • 77249164135 scopus 로고    scopus 로고
    • Constitutive modeling of shape memory polymer based self-healing syntactic foam
    • W. Xu, and G. Li Constitutive modeling of shape memory polymer based self-healing syntactic foam International Journal of Solids and Structures 47 2010 1306 1316
    • (2010) International Journal of Solids and Structures , vol.47 , pp. 1306-1316
    • Xu, W.1    Li, G.2
  • 62
    • 35248815614 scopus 로고    scopus 로고
    • A three-dimensional model of the thermomechanical behavior of shape memory alloys
    • W. Zaki, and Z. Moumni A three-dimensional model of the thermomechanical behavior of shape memory alloys Journal of the Mechanics and Physics of Solids 55 2007 2455 2490
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , pp. 2455-2490
    • Zaki, W.1    Moumni, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.