Multiaxial and Time Dependent Behavior of a Filled Rubber

Springer Science and Business Media LLC - Tập 4 - Trang 293-331 - 2000
J.-D. Wu1, Kenneth M. Liechti1
1Department of Aerospace Engineering and Engineering Mechanics, Engineering Mechanics Research Laboratory, University of Texas at Austin, Austin, U.S.A.

Tóm tắt

This paper explores the applicability of various pseudo stressand strain models for predicting the nonlinear stress-strain behavior ofa lightly filled rubber. The objectivity of the different models wasexamined and parameters were extracted on the basis of relaxation andramp loading experiments in tension. The effectiveness of the models forpredicting strip biaxial tension and compression and simple shearresponses was examined. A pseudo stress model based on Cauchy stressprovided the best agreement with experimental results. However,improvements are still needed for modeling the unloading behavior in allstress states and the normal stresses that are induced during simpleshear loading.

Tài liệu tham khảo

Govindjee, S. and Simo, J.C., 'Mullins' effect and the strain amplitude dependence of the storage modulus', Internat. J. Solids Structures 29, 1992, 1737-1751. Knauss, W.G. and Emri, I., 'Nonlinear viscoelasticity based on free volume consideration', Comput. & Structures 13, 1981, 123-128. Knauss, W.G. and Emri, I., 'Volume change and the nonlinearly thermoviscoelastic constitution of polymers', Polymer Engrg. Sci. 27, 1987, 86-100. Liechti, K.M. and Hitzfelder, J., 'Compact tension shear test for solid rocket motor bondlines', Engineering Mechanics Research Laboratory Report #EMRL 92-1, The University of Texas at Austin, U.S.A., 1992. Losi, G.U. and Knauss, W.G., 'Free volume theory and nonlinear thermoviscoelasticity', Polymer Engrg. Sci. 32(8), 1992, 542-557. Malvern, L.E., Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs, NJ, 1969. O'Dowd, N.P. and Knauss, W.G., 'Time dependent large principal deformation of polymers', J. Mech. Phys. Solids 43, 1995, 771-792. Ogden, R.W., 'Large deformation isotropic elasticity-On the correlation of theory and experiment for incompressible rubber like solids', Proc. Roy. Soc. London A326, 1972, 565-572. Ogden, R.W., Non-Linear Elastic Deformations, Ellis Horwood, Chichester, 1984. Özüpek, S., 'Constitutive equations for solid propellants', Ph.D. Dissertation, The University of Texas at Austin, U.S.A., 1995. Özüpek, S. and Becker, E.B., 'Constitutive modeling of high-elongation solid propellants, J. Engrg. Materials Technol. 114, 1992, 111-115. Popelar, C.F., 'Multiaxial nonlinear viscoelastic characterization and modeling of structural adhesives', Ph.D. Dissertation, The University of Texas at Austin, U.S.A., 1997. Popelar, C.F. and Liechti, K.M., 'Multiaxial nonlinear viscoelastic characterization and modeling of a structural adhesive', J. Engrg. Materials Technol. 119, 205-210. Schapery, R.A., 'A theory of nonlinear thermoviscoelasticity based on irreversible thermodynamics', in Proceedings of 5th U.S. National Congress on Applied Mechanics, ASME, New York, 1966, 511-530. Schapery, R.A., 'On the characterization of nonlinear viscoelastic materials', Polymer Engrg. Sci. 9, 1969, 295-310. Schapery, R.A., 'Correspondence principles and a generalized J-integral for large deformation and fracture analysis of viscoelastic media', Internat. J. Fracture 25, 1984, 195-223. Simo, J.C., 'On a fully three dimensional finite strain viscoelastic damage model: Formulation and computational aspects', Comput. Methods Appl. Mech. Engrg. 60, 1987, 153-173.