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Inelastic Composite Materials: Transformation Analysis and Experiments

  • G. J. Dvorak
  • A. Bahei-El-Din
Part of the International Centre for Mechanical Sciences book series (CISM, volume 377)

Abstract

A brief survey of micromechanical averaging procedures and bounds on overall elastic moduli introduces the analysis of the effects of combined overall mechanical loads and internal transformation fields, such as eigenstrains and eigenstresses, on the overall response and internal stress fields in heterogeneous solids. The transformation field analysis method relates the internally generated, piecewise uniform distributions of eigenstrains or eigenstresses to the local fields through certain influence functions that are related to the Green’s function. However, their evaluation can be simplified by connections with the mechanical influence functions and concentration factors. The method of uniform fields is used to establish such connections for two-phase and muti-phase systems. The transformation method is then extended to analysis of inelastic composites, with elastic-plastic, viscoplastic, or viscoelastic phases. Governing equations for the local fields are formulated and solved in illustrative examples. Finally, experimentally detected yield surfaces and plastic strains of a unidirectional boron-aluminum composite loaded along a complex plane-stress path are interpreted with several models. The yield surfaces are well predicted by the bimodal plasticity theory, and the plastic strains by a refined unit cell model.

Keywords

Concentration Factor Yield Surface Stress Concentration Factor Influence Function Unit Cell Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1997

Authors and Affiliations

  • G. J. Dvorak
    • 1
  • A. Bahei-El-Din
    • 2
  1. 1.Rensselaer Polytechnic InstituteTroyUSA
  2. 2.Cairo UniversityCairoEgypt

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