Abstract
The nonlinear plate and shell theory employing the anisotropic plastic theory is developed for implementing the finite-element simulation code. For the anisotropic plasticity, Gotoh's 4th-order yield function and Barlat's m-th-order one are employed. I defined the spacial orthogonal coordinate, derived from the deformed (surface-embedded) coordinate through normalizing one of those bases, which coincides with the anisotropic axis at the initial configuration. The anisotropic axis spin, obtained by the decomposition of the continuum spin, is newly introduced to obtain the objective stress rate. For the nonlinear contact problem, the explicit-rate-type formulation for the contact force is also developed, using Seguchi's friction law. Finally, the static explicit method is employed for the time integration of the updated Lagrange-rate-type finite-element equation.
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