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From Size-Effect Evaluation to Continuum Models with Strain Softening

  • Gianni Royer-Carfagni
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 61)

Abstract

Standard uniaxial tensile tests allow to measure the specimen “average” response, but assuming this as a constitutive relationship for 1-D continuum models leads to well-know inconsistencies, such as strain localization or null fracture work, especially when strain softening is involved. Using recent results of variational convergence of discrete functionals (Γ–convegence), a method is here proposed to conceive consistent continuum models starting from the experimental observation of the size-dependent response (size-effect). In general, the resulting model is à la Hillerborg, where softening and fracture are interpreted by the dichotomy between bulk and interface energy.

Keywords

Fracture Energy Strain Softening Constitutive Relationship Continuous Displacement Variational Convergence 
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 Berlin Heidelberg 2012

Authors and Affiliations

  • Gianni Royer-Carfagni
    • 1
    • 2
  1. 1.Dipartimento di Ingegneria Civile, Ambiente, Territorio e ArchitetturaUniversità di ParmaParmaItaly
  2. 2.Istituto per le Applicazioni del Calcolo “M. Picone”Consiglio Nazionale RicercheRomeItaly

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