A Kinematic Method for Shakedown and Limit Analysis of Periodic Heterogeneous Media

  • Giulio Maier
  • Valter Carvelli
Part of the International Centre for Mechanical Sciences book series (CISM, volume 432)


In this Chapter the kinematic (second, Koiter’s) shakedown theorem is applied to the representative volume of periodic heterogeneous media with Huber-Mises local plastic behavior. The adopted formulation of shakedown analysis is based on periodicity boundary conditions, conventional finite element modeling and penalization enforcement of plastic incompressibility. A cost-effective iterative solution procedure is discussed and computationally tested. Numerical tests and engineering applications are presented with reference to perforated plates and metal-matrix unidirectional fiber-reinforced composites.


Boundary Element Method Limit Analysis Gauss Point Perforated Plate Macroscopic Stress 
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Copyright information

© Springer-Verlag Wien 2002

Authors and Affiliations

  • Giulio Maier
    • 1
  • Valter Carvelli
    • 1
  1. 1.Technical University (Politecnico) of MilanMilanItaly

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