Special Session 124: Mathematical methods for heterogeneous media
Homogenization of elasto-plastic plate equations
Igor Velcic
University of Zagreb, Faculty of Electrical Engineering and Computing Croatia
Co-Author(s): Marin Buzancic, Elisa Davoli, Josip Zubrinic
Abstract:
Starting from $3d$ quasistatic evolution of perfect plasticity we discuss the model of $2d$ quasistatic evolution of perfect plasticity by doing simultaneous homogenization and dimension reduction. Depending on the ratio between the thickness of the plate and period of the oscillations of the material we obtain different models in the limit and discuss the effective plastic dissipation potential at the interface of the different phases of the material.