Development of mathematical model of a radial solid metal cord tyre with hyperelastic properties of rubber taken into account

A mathematical model of the automobile radial solid metal cord tyre (a model of geometrically nonlinear anisotropic three-layer shell) is presented which takes into account the physical nonlinearity of a matrix of cord-rubber composite layers. The determining relationships based on the two-term hyperelastic Mooney-Rivlin potential that was added with a penalty term for taking into account the low rubber compressibility were used for the rubber matrix simulation. Results of solving the test nonlinear problems of elasticity theory as well as the problems of quasi-static loading of a fast fixed radial tyre under conditions of the contact with a smooth flat supporting surface are given for two types of tyres (the motor-car tyre with a textile frame and the truck solid metal cord tyre).

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