| Rubber materials are polymers, because of its many excellent characteristics, its wide range of applications in engineering fields and areas of daily life. Its mechanical performance characteristics of super-elastic, large deformation are irreplaceable such materials. So has the necessary theoretical and engineering value for research and analysis of rubber-like material.In this paper, use the basic theory of limited variability, modify the strain energy function of rubber-like material proposed by Gao Yuchen, construction a new ultra-elastic constitutive model, and take advantage of this constitutive model to finite deformation analysis and simulation the cavitation instability problems of rubber-like material.First, using the new constitutive model of rubber material under the action of the basic loads in finite deformation analysis, and discuss the impact of constitutive parameters n and α on the deformation.Secondly, use the constitutive model that constructed to analysis the finite deformation problem of a rubber ball with a hollow in the center by uniform stretching, and simplify the constitutive model that constrcted for Mooney and Neo-Hooken model to analysis the rubber ball with a hollow in the center, obtain the stress-main elongate curves.Finally, the use of ABAQUS software calls for the user subroutines of new constitutive model of rubber sphere particles with the center cavitation with finite element simulation. Draw the relationships between the size or shape of the cavitation and the main stretch, and the relationships between stress and the main stretch, then compared with the theoretical solution to verify the correctness of the theoretical solution.Through this research, allows people to deeper understanding in the theory, computation and simulation of the mechanical properties of ubber sphere particles with the center cavitation, and has a certain significance to enrich and develop the finite deformation theory. |
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