Models of plastic flow of fiber composites and destruction of structures made of them (Q1902748)

The author consider composites with plastic properties possessing translational and isotropic strengthening. Using asymptotic analysis, the governing equations are solved approximately. For the collapse load analysis, a loading parameter is introduced, and equilibrium equations and loading surface description lead to a control problem that, in turn, can be replaced by a variational problem. After introducing a fictitious Hooke's law, the variational problem can be reduced to a nonlinear system which is solved by simple iterations. Finally, it is reported how this method can be used to find collapse loads for different structures.