Open Access

ARTICLE

Kinematic Limit Analysis of Periodic Heterogeneous Media¹

V. Carvelli², G. Maier², A. Taliercio²

1 Dedicated to Professor Leo Finzi on the occasion of his 75th anniversary.
2 Department of Structural Engineering, Technical University (Politecnico) of Milan, Piazza Leonardo Da Vinci 32, 20133 Milan, Italy.

Computer Modeling in Engineering & Sciences 2000, 1(2), 19-30. https://doi.org/10.3970/cmes.2000.001.179

Abstract

Homogenization of periodic fiber-reinforced ductile composite materials is performed as for the material strength, i.e. the carrying capacity with respect to macroscopic (average) stresses. Rigid-plastic limit analysis is formulated by the kinematic theorem applied to the representative volume with periodicity boundary conditions and von Mises yield criterion. The iterative procedure adopted for the numerical solution of the minimization problem is comparatively discussed on the basis of applications to various ductile heterogeneous media.

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Keywords

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