Micromechanical Modeling of Creep Behavior in Particle-Reinforced Silicone-Rubber Composites
Authors:
- 1 December 1997
- journal article
- Published by Wiley in Journal of Applied Mechanics
- Vol. 64 (4) , 781-786
Abstract
A micromechanically based composite model is proposed to study the viscoelastic behavior of solid-filled rubber composites. A nonlinear So-Chen’s (1991) mechanical model which describes the viscoelastic behavior of the rubber matrix is proposed to relate volume-average deformation and stress within the two-phase composite inclusion to the remote (macroscopic) fields. The influence of the volume fractions of inclusions on the overall creep strain of a rubber-matrix composite is investigated at the level of dilute concentration. The creep rate of the rubber matrix, which depends nonlinearly on the creep strain and the primary creep and secondary creep resulting from the viscous flow of creep deformation, is also considered in addition to the usual steady-state, or secondary, creep. The method developed for the calculation of the incremental process is based upon Eshelby’s (1957) equivalence principle of an inhomogeneity-transformation problem and Mori-Tanaka’s (1973) idea of mean-field stress. In order to examine the applicability of the model as well as the nonlinear stretch parameter, a series of experiments on solid-filled silicone rubbers has been carried out, which included constant rate of tensile tests and creep tests. It is demonstrated that this simple, albeit approximate micromechanical modeling is capable of predicting the volume fraction dependence of the time dependent creep, with characteristic consistency with the known elastic behavior.Keywords
This publication has 12 references indexed in Scilit:
- A nonlinear mechanical model for solid‐filled rubbersPolymer Engineering & Science, 1991
- Creep anisotropy of a metal-matrix composite containing dilute concentration of aligned spheroidal inclusionsMechanics of Materials, 1990
- The overall elastoplastic stress-strain relations of dual-phase metalsJournal of the Mechanics and Physics of Solids, 1990
- Elastic moduli for a class of porous materialsActa Mechanica, 1989
- A Theory of Particle-Reinforced PlasticityJournal of Applied Mechanics, 1988
- Micromechanics of time-dependent deformation in a dispersion-hardened polycrystalActa Mechanica, 1987
- Self-Consistent Determination of Time-Dependent Behavior of MetalsJournal of Applied Mechanics, 1981
- Average stress in matrix and average elastic energy of materials with misfitting inclusionsActa Metallurgica, 1973
- The Non-Linear Field Theories of Mechanics1965
- Berücksichtigung der elastischen Formänderung in der PlastizitätstheorieZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1930