Mechanics of Periodically Heterogeneous Structures

0 Introduction.- 1 Definitions, assumptions and theorems in homogenization problems.- 2 Application of cell functions for the calculation of binary composite elastic moduli.- 3 Asymptotic study of linear vibrations of a stretched beam with concentrated masses and discrete elastic supports.- 4 Reinforced plates.- 5 Problems of elasticity theory for reinforced orthotropic plates.- 6 Reinforced shells.- 7 Corrugated plates.- 8 Other periodic structures.- 9 Perforated plates and shells.- Concluding remarks. Perspectives and open problems.- References.