Traditionally, programming of shape memory polymer (SMP) material requires initial heating above the glass transition temperature (Tg), subsequent cooling below Tg and removal of the applied load. Therefore, the shape fixity process is inconvenient for some applications. Most recently, a new and effective approach, which programs glass transition activated SMPs directly at temperatures well below Tg,was introduced by Li and Xu [2011, “Thermomechanical Behavior of Shape Memory Polymer Programmed at Glassy Temperature: Testing and Constitutive Modeling,” J. Mech. Phys. Solids, 59(6), pp. 1231–1250. The 1D compression programming below Tg and free shape recovery were extensively investigated both experimentally and analytically. The current work extends this study into a shape memory polymer based self-healing syntactic foam, which was found to be capable of self-sealing structural scale damage repeatedly, efficiently, and almost autonomously [Li and John, 2008, “A Self-Healing Smart Syntactic Foam Under Multiple Impacts,” Compos. Sci. Technol., 68(15–16), pp. 3337–3343.]. A structural-relaxation constitutive model featuring damage-allowable thermoviscoplasticity was then developed to predict the nonlinear shape memory behavior of the SMP based syntactic foam programmed at glassy temperatures. After validated by both 1D (compression) and 2D (compression in longitudinal direction and tension in transverse direction) tests, the constitutive model was used to evaluate the effects of several design parameters on the thermomechanical behavior of the SMP based syntactic foam. It is concluded that the model is a useful tool for designing and training this novel self-healing composite.
Issue Section:
Research Papers
Keywords:
shape memory polymer,
syntactic foam,
composite material,
programming,
glassy temperature,
thermoviscoplasticity,
structural relaxation,
composite materials,
compressibility,
compressive testing,
cooling,
fault tolerant computing,
glass transition,
heat treatment,
polymer foams,
shape memory effects,
viscoplasticity
References
1.
Li
, G.
, and John
, M.
, 2008, “A Self-Healing Smart Syntactic Foam Under Multiple Impacts
,” Compos. Sci. Technol.
, 68
(15–16
), pp. 3337
–3343
.2.
Lendlein
, A.S.
, Kelch
, S.
, Kratz
, K.
, and Schulte
J.
, 2005, “Shape-Memory Polymers
,” Encyclopedia of Materials
, Elsevier
, Amsterdam
, pp. 1
–9
.3.
Behl
, M.
and Lendlein
, A.
, 2007, “Shape-Memory Polymers
, Mater. Today
, 10
(4
), pp. 20
–28
.4.
Anderson
, T. F.
, Walters
, H. A.
, and Glesner
, C.W.
, 1970, “Castable, Sprayable, Low Density Foam and Composites for Furniture, Marble, Marine
,” J. Cell. Plast.
, 6
, pp. 171
–178
.5.
Gupta
, N.
, and Woldesenbet
, E.
, 2005, “Characterization of Flexural Properties of Syntactic Foam Core Sandwich Composites and Effect of Density Variation
,” J. Compos. Mater.
, 39
, pp. 2197
–2212
.6.
Li
, G.
, and Nettles
, D.
, 2010, “Thermomechanical Characterization of a Shape Memory Polymer Based Self-Repairing Syntactic Foam
,” Polymer
, 51
(3
), pp. 755
–762
.7.
Li
, G.
, and Uppu
, N.
, 2010, “Shape Memory Polymer Based Self-Healing Syntactic Foam: 3-D Confined Thermomechanical Characterization
,” Comp. Sci. Technol.
40
(9
), pp. 1419
–1427
.8.
Nji
, J.
, and Li
, G.
, 2010, “A Biomimic Shape Memory Polymer Based Self-Healing Particulate Composite
,” Polymer
, 51
, pp. 6021
–6029
.9.
Nji
, J.
, and Li
, G.
, 2010, “A Self-Healing 3D Woven Fabric Reinforced Shape Memory Polymer Composite for Impact Mitigation
,” Smart Mater. Struct.
, 19
(3
), p. 035007
.10.
John
, M.
, and Li
, G.
, 2010, “Self-Healing of Sandwich Structures with a Grid Stiffened Shape Memory Polymer Syntactic Foam Core
,” Smart Mater. Struct.
, 19
(7
), p. 075013
.11.
Li
, G.
, and Xu
, W.
, 2011, “Thermomechanical Behavior of Shape Memory Polymer Programmed at Glassy Temperature: Testing and Constitutive Modeling
,” J. Mech. Phys. Solids
59
(6
), pp. 1231
–1250
.12.
Tobushi
, H.
, Hara
, H.
, Yamada
, E.
, and Hayashi
, S.
, 1996, “Thermomechanical Properties in a Thin Film of Shape Memory Polymer of Polyurethane Series
,” Smart Mater. Struct.
, 5
(4
), pp. 483
–491
.13.
Tobushi
, H.
Hashimoto
, T.
Hayashi
, S.
, and Yamada
, E.
, 1997, “Thermomechanical Constitutive Modeling in Shape Memory Polymer of Polyurethane Series
,” J. Intell. Mater. Syst. Struct.
, 8
, pp. 711
–718
.14.
Bhattacharyya
, A.
, and Tobushi
, H.
, 2000, “Analysis of the Isothermal Mechanical Response of a Shape Memory Polymer Rheological Model
,” Polym. Eng. Sci.
, 40
(12
), pp. 2498
–2510
.15.
Kafka
, V.
, 2001, Mesomechanical Constitutive Modeling
, World Scientific
, Singapore
.16.
Kafka
, V.
, 2008, “Shape Memory Polymers: A Mesoscale Model of the Internal Mechanism Leading to the SM Phenomena
,” Int. J. Plast.
, 24
, pp. 1533
–1548
.17.
Diani
, J.
, and Gall
, K.
, 2007, “Molecular Dynamics Simulations of The Shape–Memory Behaviour of Polyisoprene
,” Smart Mater. Struct.
, 16
, pp. 1575
–1583
.18.
Morshedian
, J.
, Khonakdar
, H. A.
, and Rasouli
, S.
, 2005, “Modeling of Shape Memory Induction and Recovery in Heatshrinkable Polymer
,” Macromol. Theory Simul.
, 14
, pp. 428
–434
.19.
Gall
, K.
, Yakacki
, C. M.
, Liu
, Y.
, Shandas
, R.
, Willett
, N.
, and Anseth
, K.S.
, 2005, “Thermomechanics of the Shape Memory Effect in Polymers for Biomedical Applications
,” J. Biomed. Mater. Res. A
, 73
, pp. 339
–348
.20.
Liu
, Y.
, Gall
, K.
, Dunn
, M. L.
, Greenberg
, A. R.
, and Diani
, J.
, 2006, “Thermomechanics of Shape Memory Polymers: Uniaxial Experiments and Constitutive Modeling
,” Int. J. Plast.
, 22
, pp. 279
–313
.21.
Yakacki
, C. M.
, Shandas
, R.
, Lanning
, C.
, Rech
, B.
, Eckstein
, A.
, and Gall
K.
, 2007, “Unconstrained Recovery Characterization of Shape- Memory Polymer Networks for Cardiovascular Applications
,” Biomaterials
28
(14
), pp. 2255
–2263
.22.
Qi
, H. J.
, Nguyen
, T. D.
, Castro
, F.
, Yakacki
, C. M.
, and Shandas
, R.
, 2008, “Finite Deformation Thermo–Mechanical Behavior of Thermally Induced Shape Memory Polymers
,” J. Mech. Phys. Solids
, 56
, pp. 1730
–1751
.23.
Chen
, Y. H.
, and Lagoudas
, D.C.
, 2008, “A Constitutive Theory For Shape Memory Polymers. Part I-Large Deformations
,” J. Mech. Phys. Solids
, 56
, pp. 1752
–1765
.24.
Chen
, Y. H.
, and Lagoudas
, D.C.
, 2008, “A Constitutive Theory for Shape Memory Polymers. Part II- A Linearized Model for Small Deformations
,” J. Mech. Phys. Solids
, 56
, pp. 1766
–1778
.25.
Xu
, W.
, and Li
, G.
, 2010, “Constitutive Modeling of Shape Memory Polymer Based Self-Healing Syntactic Foam
,” Int. J. Solids Struct.
, 47
(9
), pp. 1306
–1316
.26.
Nguyen
, T. D.
, Qi
, H.
, Castro
, F.
, and Long
, K.N.
, 2008, “A Thermoviscoelastic Model for Amorphous Shape Memory Polymers: Incorporating Structural and Stress Relaxation
,” J. Mech. Phys. Solids
56
(9
), pp. 2792
–2814
.27.
Li
, G.
, and Xu
, T.
, 2011, “Thermomechanical Characterization of Shape Memory Polymer Based Self-Healing Syntactic Foam Sealant for Expansion Joint,”
ASCE J. Mater. Civ. Eng.
, (Available on-line March 23, 2011), doi:10.1061/(ASCE)TE.1943-5436.0000279.28.
ASTM Standard C365, 2003, “Standard Test Method for Flatwise Compressive Properties of Sandwich Cores,” ASTM International, West Conshohocken, PA, 2003, www.astm.org.
29.
ASTM Standard E1640-04, 2004, “Standard Test Method for Assignment of Glass Transition,” ASTM International, West Conshohocken, PA, 2004, www.astm.org.
30.
Li
, G.
, and Nji
, J.
, 2007, “Development of Rubberized Syntactic Foam
,” Composites Part A
, 38
, pp. 1483
–1492
.31.
Berriot
, J.
, Montes
, H.
, Lequeux
, F.
, Long
, D.
, and Sotta
, P.
, 2002, “Evidence for The Shift of the Glass Transition Near the Particles in Silica-Filled Elastomers
,” Macromolecules
, 35
(26
), pp. 9756
–9762
.32.
Berriot
, J.
, Montes
, H.
, Lequeux
, F.
, Long
, D.
, Sotta
, P.
, 2003, “Gradient of Glass Transition Temperature in Filled Elastomers
,” Europhys. Lett.
, 64
(1
), pp. 50
–56
.33.
Oliver
, J. P.
, Maso
, J. C.
, and Bourdette
, B.
, 1995, “Interfacial Transition Zone In Concrete
,” J. Adv. Cem. Based Mater.
, 2
(1
), pp. 30
–38
.34.
Li
, G.
, Zhao
, Y.
, and Pang
S.S.
, 1998, “A Three-Layer Built-In Analytical Modeling of Concrete
,” Cem. Concr. Res.
, 28
, pp. 1057
–1070
.35.
Li
, G.
, Zhao
, Y.
, and Pang
S.S.
, 1999, “Four-Phase Sphere Modeling of Effective Bulk Modulus of Concrete
,” Cem. Concr. Res.
, 29
, pp. 839
–845
.36.
Lu
, S. C. H.
, and Pister
, K.S.
, 1975, “Decomposition of Deformation and Representation of the Free Energy Function for Isotropic Thermoelastic Solids
,” Int. J. Solids Struct.
, 11
, pp. 927
–934
.37.
Lion
, A.
, 1997, “On the Large Deformation Behavior of Reinforced Rubber at Different Temperatures
,” J. Mech. Phys. Solids
, 45
, pp. 1805
–1834
.38.
Sidoroff
, F.
, 1974, “Un Modèle Viscoélastique Non Linéaire Avec Configuration Intermédiare
,” J. Mec.
, 13
, pp. 679
–713
.39.
Tool
, A.Q.
, 1946, “Relation Between Inelastic Deformability and Thermal Expansion of Glass in its Annealing Range
,” J. Am. Ceram. Soc.
, 29
(9
), pp. 240
–253
.40.
Narayanaswamy
, O.S.
, 1971, “A Model of Structural Relaxation in Glass
,” J. Am. Ceram. Soc.
, 54
(10
), pp. 491
–498
.41.
Moynihan
, C.T.
, Easteal
, A.E.
, Debolt
, M.A.
, and Tucker
, J.
, 1976, J. Am. Ceram. Soc.
, 59
, pp. 12
–16
.42.
Donth
, E.
, and Hempel
, E.
, 2002, “Structural Relaxation Above the Glass Temperature: Pulse Response Simulation with the Narayanaswamy Moynihan Model for Glass Transition
,” J. Non-Cryst. Solids
, 306
, pp. 76
–89
.43.
Kohlrausch
, F.
, 1847, Pogg. Ann. Phys.
, 12
, pp. 393
–399
.44.
DeBolt
, M. A.
, Easteal
, A. J.
, Macedo
, P. B.
, and Moyhinan
, CT.
, 1976, “Analysis of Structural Relaxation in Glass Using Rate Heating Data
,” J. Am. Ceram. Soc.
, 59
(1–2
), pp. 16
–21
.45.
Donth
E.
, 1982, “Analysis of Thermoluminescence Curves of Polymers Using Current Methods of Relaxation Phenomenology
,” Polym. Bull.
, 8
, pp. 211
–217
.46.
Hempel
, E.
, Kahle
, S.
, Unger
, R.
, Donth
, E.
, 1999, “Systematic Calorimetric Study of Glass Transition in the Homologous Series of Poly(n-Alkyl Methacrylate)s: Narayanaswamy Parameters in the Crossover Region
,” Thermochim. Acta
, 329
, pp. 97
–108
.47.
William
, M. L.
, Landel
, R. F.
, and Ferry
J.D.
, 1955, “The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-Forming Liquids
,” J. Am. Chem. Soc.
, 77
, pp. 3701
–3707
.48.
Scherer
, G.W.
, 1990, “Theories of Relaxation
,” J. Non-Cryst. Solids
, 123
, pp. 75
–89
.49.
Treloar
, L.R.G.
, 1958, The Physics of Rubber Elasticity
, Clarendon
, Oxford
.50.
Boyce
, M. C.
, Parks
, D. M.
, and Argon
, A.S.
, 1988, “Large Inelastic Deformation of Glassy-Polymers. 1: Rate Dependent Constitutive Model
,” Mech. Mater.
, 7
(1
), pp. 15
–33
.51.
Boyce
, M. C.
, Park
, D. M.
, and Argon
, A.S.
, 1988, “Large Inelastic Deformation of Glassy-Polymers. 2: Numerical-Simulation of Hydrostatic Extrusion
,” Mech. Mater.
, 7
(1
), pp. 35
–47
.52.
Boyce
, M. C.
, Weber
, G. G.
, and Parks
, D.M.
, 1989, “On the Kinematics of Finite Strain Plasticity
,” J. Mech. Phys. Solids
, 37
(5
), pp. 647
–665
.53.
Govindjee
, S.
, and Simo
, J.
, 1991, “A Micro-Mechanically Based Continuum Damage Model for Carbon Black-Filled Rubbers Incorporating Mullins Effect
,” J. Mech. Phys. Solids
, 39
(1
), pp. 87
–112
.54.
Arruda
, E. M.
, and Boyce
, M.C.
, 1993, “A Three-Dimensional Constitutive Model for the Large Stretch Behavior of Rubber Elastic Materials
,” J. Mech. Phys. Solids
, 41
, pp. 389
–412
.55.
Miehe
, C.
, and Keck
, J.
, 2000, “Superimposed Finite Elastic-Viscoelastic-Plastoelastic Stress Response With Damage in Filled Rubbery Polymers. Experiments, Modelling And Algorithmic Implementation
,” J. Mech. Phys. Solids
, 48
(2
), pp. 323
–365
.56.
Bergstrom
, J. S.
, and Boyce
, M.C.
, 1998, “Constitutive Modeling of the Large Strain Time-Dependence Behavior of Elastomers
,” J. Mech. Phys. Solids
, 46
(5
), pp. 931
–954
.57.
Govindjee
, S.
, and Reese
, S.
, 1997, “A Presentation and Comparison of Two Large Deformation Viscoelasticity Models
,” Trans. ASME J. Eng. Mater. Technol.
, 119
, pp. 251
–255
.58.
Boyce
, M. C.
, Kear
, K.
, Socrate
, S.
, and Shaw
, K.
, 2001, “Deformation Of Thermoplastic Vulcanizates
,” J. Mech. Phys. Solids
, 49
(5
), pp. 1073
–1098
.59.
Qi
, H. J.
, and Boyce
, M.C.
, 2005, “Stress-Strain Behavior Of Thermoplastic Polyurethanes
,” Mech. Mater.
, 37
(8
), pp. 817
–839
.60.
Flory
, P.J.
, 1961, “Thermodynamic Relations for Highly Elastic Materials
,” Trans. Faraday Soc.
, 57
, pp. 829
–838
.61.
Simo
, J. C.
, Taylor
, R. L.
, and Pister
, K.S.
, 1985, “Variational and Projection Methods for the Volume Constraint in Finite Deformation Elasto-Plasticity
,” Comput. Methods Appl. Mech. Eng.
, 51
, pp. 177
–208
.62.
Eyring
, H.
, 1936, “Viscosity, Plasticity, and Diffusion as Examples of Absolute Reaction Rates
,” J. Comput. Phys.
, 28
, pp. 373
–383
.63.
Li
, H. X.
, and Buckley
, C.P.
, 2010, “Necking in Glassy Polymers: Effects of Intrinsic Anisotropy and Structural Evolution Kinetics in Their Viscoplastic Flow
,” Int. J. Plast.
, 26
, pp. 1726
–1745
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