The concept of functional grading is applied to rubber-like materials within the framework of finite thermoelasticity. A phenomenological stress-strain relation is proposed to account for the finite chain extensibility, the entropic origin for the stress, as well as the graded nature of rubbers. As an application, the azimuthal shearing of a hollow rubber tube subjected to thermal loading is considered with a view toward minimizing the strain inhomogeneity, and an optimum grading for each temperature gradient is presented.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Mechanical Engineering