A Device for Evaluating the Multiaxial Finite Strain Thermomechanical Behavior of Elastomers and Soft Tissues

[+] Author and Article Information
E. M. Ortt, D. J. Doss, E. Legall, N. T. Wright, J. D. Humphrey

Department of Mechanical Engineering, University of Maryland, Baltimore, MD 21250

J. Appl. Mech 67(3), 465-471 (Dec 13, 1999) (7 pages) doi:10.1115/1.1311272 History: Received April 21, 1999; Revised December 13, 1999
Copyright © 2000 by ASME
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Wright,  N. T., Chen,  S., and Humphrey,  J. D., 1998, “Time-Temperature Equivalence Applied to Heat-Induced Changes of Cells and Proteins,” ASME J. Biomech. Eng., 120, pp. 22–26.
Truesdell, C., and Noll, W., 1965, “The Nonlinear Field Theories of Mechanics,” Handbuch der Physik, Vol. III/3, S. Flugge, ed., Springer-Verlag, Berlin.
Bowen, R. M., 1989, Introduction to Continuum Mechanics for Engineers, Plenum Press, New York.
Chadwick,  P., and Creasy,  C. F. M., 1984, “Modified Entropic Elasticity of Rubber-Like Materials,” J. Mech. Phys. Solids, 32, No. 5, pp. 337–357.
Haslach,  H. W., and Zheng,  N., 1995, “Thermoelastic Generalization of Isothermal Elastic Constitutive Models for Rubber-like Materials,” Rubber Chem. Technol., 69, pp. 313–324.
Mormon, Jr., K. N., 1995, “A Thermomechanical Model for Amorphous Polymers in the Glassy, Transition and Rubbery Regions,” Recent Research in Thermo-mechanics of Polymers in the Rubbery-Glassy Range, M. Negahban, ed., pp. 89–114, ASME, New York, pp. 89–114.
Ogden,  R. W., 1992, “On the Thermoelastic Modeling of Rubber-Like Solids,” J. Thermal Stress, 15, pp. 533–557.
Allen,  G., Bianchi,  U., and Price,  C., 1963, “Thermodynamics of Elasticity of Natural Rubber,” Trans. Faraday Soc., 59, pp. 2493–2502.
Allen,  G., Kirkham,  M. J., Padget,  J., and Price,  C., 1971, “Thermodynamics of Rubber Elasticity at Constant Volume,” Trans. Faraday Soc., 67, pp. 1278–1292.
Anthony,  R. L., Caston,  R. H., and Guth,  E., 1942, “Equations of State for Natural and Synthetic Rubber-Like Materials I. Unaccelerated Natural Rubber,” J. Phys. Chem., 46, pp. 826–840.
Shen,  M. C., McQuarrie,  D. A., and Jackson,  J. L., 1967, “Thermoelastic Behavior of Natural Rubber,” J. Appl. Phys., 38, No. 2, pp. 791–797.
Humphrey,  J., and Rajagopal,  K. R., 1998, “Finite Thermoelasticity of Constrained Elastomers Subject to Biaxial loading,” J. Elast., 49, pp. 189–200.
Rivlin,  R. S., and Saunders,  D. W., 1951, “Large Elastic Deformations of Isotropic Materials VII. Experiments on the Deformation of Rubber,” Philos. Trans. R. Soc. London, Ser. A, 243, pp. 252–288.
Dashora,  P., 1994, “A Study of Variation of Thermal Conductivity of Elastomers With Temperature,” Phys. Scr., 49, pp. 611–614.
Treloar, L. R. G., 1975, The Physics of Rubber Elasticity, 3rd Ed., Clarendon, Oxford, UK.
Doss, D. J., and Wright, N. T., 2000, “Simultaneous Measurement of the Orthogonal Components of Thermal Diffusivity in PVC Sheet,” ASME J. Heat Transfer, 122 in press.
Parker,  W. J., Jenkins,  R. J., Butler,  C. P., and Abbott,  G. L., 1961, “Flash Method of Determining Thermal Diffusivity, Heat Capacity and Thermal Conductivity,” J. Appl. Phys., 32, No. 9, pp. 1679–1684.
Humphrey,  J. D., Vawter,  D. L., and Vito,  R. P., 1987, “Quantification of Strains in Biaxially Tested Soft-Tissues,” J. Biomech., 20, No. 1, pp. 59–65.
Wright, N. T., da Silva, M. G., Doss, D. J., and Humphrey, J., 1995, “Measuring Thermal Properties of Elastomers Subject to Finite Strain,” Thermal Conductivity 23, K. E. Wilkes et al., eds., Technomic, Lancaster, PA, pp. 639–646.
Downs,  J., Halperin,  H. R., Humphrey,  J. D., and Yin,  F. C. P., 1990, “An Improved Video-based Computer Tracking System for Soft-Biomaterials Testing,” IEEE Trans. Biomed. Eng., 37, pp. 903–907.
Agari,  Y., Ueda,  A., and Nagai,  S., 1994, “Measurement of Thermal Diffusivity and Specific Heat Capacity of Polymers by Laser Flash Method,” J. Polym. Sci., Part B: Polym. Phys., 33, pp. 33–42.
Lachi, M., and Degiovanni, A., 1991, “Determination des Diffusivites Thermiques des Materiaux Anisotropes par Methode Flash Bidirectionelle,” J. Phys. III, No. 12, pp. 2027–2046.
Mallet, D., Lachi, M., and Degiovanni, A., 1990, “Simultaneous Measurements of Axial and Radial Thermal Diffusivities of an Anisotropic Solid in Thin Plate: Application to Multi-Layered Materials,” Thermal Conductivity 21, C. J. Cremers and H. A. Fine, eds., Plenum Press, New York, pp. 91–107.
Taylor,  R. E., 1975, “Critical Evaluation of Flash Method for Measuring Thermal Diffusivity,” Rev. Int. Hautes Temp. Refract., 12, pp. 141–145.
Kawabata, S., and Kawai, H., 1977, “Strain Energy Function of Rubber Vulcanizates From Biaxial Extension,” Adv. Polym. Sci., Vol. 24, H. J. Cantow et al., Springer-Verlag, New York, pp. 89–124,
Obata,  Y., Kawabata,  S., and Kawai,  H., 1970, “Mechanical Properties of Natural Rubber Vulcanizates in Finite Deformation,” J. Polym. Sci., Part A: Gen. Pap., 8, pp. 903–919.
Choy,  C. L., Luk,  W. H., and Chen,  F. C., 1978, “Thermal Conductivity of Highly Oriented Polyethylene,” Polymer, 19, pp. 155–162.
Carslaw, H. S. and Jaeger, J. C., 1959, Conduction of Heat in Solids, 2nd Ed., Clarendon Press, Oxford, UK.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992, Numerical Recipes in C, Cambridge University Press, Cambridge, UK.
Gebhart, B., Jaluria, Y., Mahajan, R. L., and Sammukia, B., 1988, Buoyancy-Induced Flows and Transport, Hemisphere, New York.


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A schematic drawing of the overall experimental system
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Biaxial extension device. Panel (a) is an oblique view of the device where (1) camera, (2) load carriage, (3) environmental chamber, (4) heater, (5) Kevlar threads, (6) load frame, (7) motors, (8) motor supports, and (9) limit switches; in-plane directions defined as 1 and 2. Panel (b) is a schema of (1) the specimen with centrally placed tracking markers, (2) Kevlar threads, (3) T-bar, (4) coupling bar, (5) load cell, and (6) flashbulb and reflector, as seen from below.
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Stress relaxation curve of a neoprene rubber specimen during preconditioning
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Illustrative in-plane stretches λ1 and λ2 for computer controlled equibiaxial, proportional, and constant λ1 stretching protocols. Data are for three cycles each (cycle 1: +, 2: ▵, 3: ○), thus showing reproducibility and robust control.
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Typical Cauchy stress-stretch curves for neoprene at three temperatures for equibiaxial stretch tests
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Bottom surface temperature history for a one-dimensional flash test showing the close agreement between the measurements, the temperature history calculated as part of the data reduction, and that calculated assuming the boundary conditions originally used by Parker et al. 17 and the value of α33 determined by the Marquardt data reduction. τ1/2≈4 s.
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Temperature history of the central and one of the lateral thermocouples for equibiaxial in-plane stretch of λ=1.03. Solid line is model result.




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