Hyperelastic Material Models of Rubber and Rubber-like Materials

ABSTRACT The variety of applications of rubber-like materials in different industrial areas is enormous. In the automotive industry rubber is utilized in tires, as engine and door seals, whereas in aerospace industry rubber rings are used in fuel systems. In other engineering fields, rubbers have been used in conveyor belts, meteorological balloons and vibration isolation bearings or shock and impact absorbers.Rubber-like materials exhibit a highly nonlinear behaviour characterized by hyperelastic deformability and incompressibility or near-incompressibility. Normally, the maximum extensibility of rubber could reach values varying from 500% to 1000% and the typical stress-strain curve in tension is markedly nonlinear so that Hooke’s law cannot be applied and it is not possible to assign a definite value to the Young’s modulus except in the region of small strains, where the Young’s modulus is of the order of 1MPa. It İs too important to know or predict the mechanical behavior of these materials in design for the sake of stres-strain relation, deformation, lifetime and reliability. In this study the hyperelastic material models and Euler hyperelastic relation for tension in case of isotropic, incompressible hyperelastic solid have been presented.