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Coulomb Failure Surfaces in Ductile Non Linear Elastic Materials

  • Nikos P. Andrianopoulos
  • Vassilios M. Manolopoulos
  • Ioannis T. Dernikas
Conference paper

Abstract

In the present work a theoretical approach to the problem of failure of non-linear elastic materials is described. This approach is based on the Principle of Conservation of Energy — the total elastic strain energy density in this case. This Principle is equivalent to the path-independence of strain energy, the same not being true for its components, i.e. dilatational and distortional densities. This way, an intimate quantitative relationship is established between the secant bulk, K S , and shear, G S , elastic moduli of the material. Experimental evidence from the open literature in case of a ductile material supports clearly the present predictions.

Keywords

Coulomb criterion Non linear elasticity Ductile materials 

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Copyright information

© Springer Science+Business Media B.V 2009

Authors and Affiliations

  • Nikos P. Andrianopoulos
    • 1
  • Vassilios M. Manolopoulos
    • 1
  • Ioannis T. Dernikas
    • 1
  1. 1.Department of Mechanics, Faculty of Applied SciencesNational Technical University of AthensHellas

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