Time dependent scission and cross-linking in an elastomeric cylinder undergoing circular shear and heat conduction

International Journal of Non-Linear Mechanics

Volumn 38, Issue 7, 2003, Pages 969-983

  Wineman, Alan ^a   Min, Je Hong ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Chemo mechanical processes; Constitutive behavior; Finite strain; Rubber material; Stress relaxation

Indexed keywords

CROSSLINKING; CYLINDERS (SHAPES); HEAT CONDUCTION; MACROMOLECULES; MICROSTRUCTURE; STRAIN;

CIRCULAR SHEAR;

ELASTOMERS;

EID: 0037412164     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(02)00041-0     Document Type: Article

References (21)

1. Han W.H., Horkay F., McKenna G.B. Mechanical and swelling behaviors of rubber. a comparison of some molecular models with experiment Math. Mech. Solids. 4:1999;139-167.
2. A.V. Tobolsky, Properties and Structures of Polymers, Wiley, New York, 1960, pp. 223-265 (Chapter V).
3. Wineman A., Rajagopal K.R. On a constitutive theory for materials undergoing microstructural changes. Arch. Mech. 42:1990;53-74.
4. Rajagopal K.R., Wineman A. A constitutive equation for non-linear solids which undergo deformation induced microstructural changes. Int. J. Plast. 8:1992;385-395.
5. Rajagopal K.R., Srinivasa A.R. A thermodynamic framework for rate type fluid models. J. Non-Newtonian Fluid Mech. 88:2000;207-227.
6. Tobolsky A.V., Prettyman I.B., Dillon J.H. Stress relaxation of natural and synthetic rubber stocks. J. Appl. Phys. 15:1944;380-395.
7. Neubert D., Saunders D.W. Some observations of the permanent set of cross-linked natural rubber samples after heating in a state of pure shear. Rheol. Acta. 1:1958;151-157.
8. Fong J.T., Zapas L.J. Chemorheology and the mechanical behavior of vulcanized rubber. Trans. Soc. Rheol. 20:1976;319-338.
9. Rajagopal K.R., Huang Y.-N. Finite circumferential shearing of nonlinear solids in the context of thermoleasticity. IMA J. Appl. Math. 53:1994;111-125.
10. Maneschy C.E. Thermoelastic analysis of a Mooney-Rivlin slab under inhomogeneous shearing. Int. J. Solid Struct. 31:1994;317-327.
11. Rajagopal K.R., Maneschy C.E., Massoudi M. Inhomogeneous deformations in finite thermo-elasticity. Int. J. Eng. Sci. 34:1996;1005-1017.
12. Chadwick P. Thermo-mechanics of rubberlike materials. Philos. Trans. R. Soc. London. A276:1974;371-403.
13. Chadwick P., Creasy C.F.M. Modified entropic elasticity of rubberlike materials. J. Mech. Phys. Solids. 32:1984;337-357.
14. Ogden R.W. Aspects of the phenomenological theory of rubber thermoelasticity. Polymer. 28:1987;379-385.
15. Ogden R.W. On the thermoelastic modeling of rubberlike solids. J. Thermal Stresses. 15:1992;533-557.
16. Moacanin J., Aklonis J.J., Landel R.F. A generalization of the Boltzmann superposition principle to polymer networks undergoing scission. J. Chem. Phys. 64:1976;30.
17. Wright N.T., Da Silva M.G., Doss D.J., Humphrey J.D. Measuring thermal properties of elastomers subject to finite strain. Wilkes K.E., Dinwiddie R.B., Graves R.S. Thermal Conductivity. Vol. 23:1996;639-646 Technomic Publishing Company, Lancaster, PA.
18. Ortt E.M., Doss D.J., Legall E., Wright N.T., Humphrey J.D. A device for evaluating the multiaxial finite strain thermomechanical behavior of elastomers and soft tissues. ASME J. Appl. Mech. 67(3):2000;465-471.
19. Rajagopal K.R., Wineman A.S. A linearized theory for materials undergoing microstructural changes. Appl. Radiat. Isot. 51:1998;160-168.
20. Huntley H.E., Wineman A.S., Rajagopal K.R. Stress softening, strain localization and permanent set in the circumferential shear of an incompressible elastomeric cylinder. IMA J. Appl. Math. 59:1997;309-338.
21. Carslaw H.S. Conduction of Heat in Solids. 1959;Clarendon Press, Oxford.