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Boundary Elements and Shear Bands in Incremental Elasticity

  • Michele Brun
  • Davide Bigoni
  • Domenico Capuani
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 113)

Abstract

Perturbations in terms of small elastic deformations superimposed upon a given homogeneous strain are analysed within a boundary element framework. This is based on a recently-developed Green’s function and boundary integral equations for non-linear incremental elastic deformations. Plane strain deformations are considered of an incompressible hyperelastic solid within the elliptic range. The proposed approach is shown to yield bifurcation loads and modes via a perturbative approach. Numerical treatment of the problem is detailed and applications to multilayers are shown. Relations between shear band formation and global instabilities are given evidence.

Keywords

Boundary elements incremental elasticity bifurcation shear bands 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Michele Brun
    • 1
  • Davide Bigoni
    • 1
  • Domenico Capuani
    • 2
  1. 1.Dipartimento di Ingegneria Meccanica e StrutturaleUniversità di TrentoPovo, TrentoItalia
  2. 2.Dipartimento di IngegneriaUniversità di FerraraFerraraItalia

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