The Effective Properties of Brittle/Ductile Incompressible Composites

  • Pedro Ponte Castañeda
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


A new variational method for estimating the effective properties of nonlinear composites in terms of the corresponding properties of linear composites with the same microstructural distributions of phases is applied to an isotropic, incompressible composite material containing a brittle (linear) and a ductile (nonlinear) phase. More specifically, in this particular work the prescription is used to obtain bounds of the Hashin-Shtrikman type for the effective properties of the nonlinear composite in terms of the well-known linear bounds. It can be shown that in some cases the method leads to optimal bounds.


Variational Principle Effective Property Effective Energy Nonlinear Material Rigid Inclusion 
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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Pedro Ponte Castañeda
    • 1
  1. 1.Mechanical EngineeringThe Johns Hopkins UniversityBaltimoreUSA

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