Finite Deformation Analysis And Numerical Simulation Of The Rubber Tube Under Internal Pressure

Rubber material is a kind of super-elastic polymer materials with special properties. It can withstand large deformation,such that it is essential in many fields. Rubber materials are widely used in daily life and automobile, electronics, petrochemical, construction, aerospace and so on. Therefore, the research of rubberlike materials has theoretical significance and engineering values.A new constitutive model which is modified from Gao’s second constitutive model has been introduced by using the finite deformation theory. In the circumstance that material is incompressible, when n?1 and ??1, the new constitutive relation may be simplified to Mooney-Rivlin model; when n?1 and ??0, the new constitutive relation may be simplified to Neo-Hookean model.First, studied the uniaxial tension and biaxial stretching of basic finite deformation of the rubber material based on modified constitutive model. Discussed the impact of constitutive parameters n, ? on the degree of deformation, the results show that the constitutive parameters control the stiffness, the parameters are larger and the stiffness is greater.Secondly, discussed the finite deformation of the rubber tube under internal pressure with the new constitutive model. Obtain the relationship between the internal pressure and the ring strain, but also discussed the impact of the constitutive parameters n, ? to this relationship; Using user-defined material properties FORTRAN programming interface of ABAQUS software available for written subroutines of new constitutive model. Calling this routine simulation the rubber tube finite element. Obtained the relationship between the internal pressure and circumferential strain,between stress and strain, and the finite element solution is compared with the theoretical solution to verify the correctness of the theoretical solution.Finally, using the new constitutive model, studied the finite deformation problems incompressible hyperelastic rubber membrane by internal pressure expansion, obtained the relationship between the internal pressure and the main stretch, also discussed the affection of constitutive parameters n, ? to this relationship. The results show that the constitutive parameters affect the stiffness of the material. This is similar to the previous result. Thus proving the new constitutive models are suitable for different issues.Results of this study can provide a theoretical basis for the production and application engineering of rubber tube.