Geometrically Linear and Nonlinear Behavior of Local Loaded Laminated Rubber Toroidal Shells by a Mixed Finite Element Method

摘要

Kulikov's equations [1-7] are investigated and extended to analyze geometrically linear and nonlinear behavior of laminated rubber plates and shells. The equation of motion, the kinematical equation, the constitutive law and the Hu-Washizu functional of layered plates and shells are generated in Cartesian, cylindrical, spherical and toroidal coordinate systems. The method is expected to be used to analyze some more complex structures, such as plates and shells of non-uniform wall thickness, toroidal piezoelectric shells, material nonlinear rubber-cord composite shells, etc. The results of study have a variety of applications in tire technology and rubber production.