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Archive for Rational Mechanics and Analysis

, Volume 146, Issue 1, pp 23–58 | Cite as

Variational Formulation of Softening Phenomena in Fracture Mechanics: The One‐Dimensional Case

  • Andrea Braides
  • Gianni Dal Maso
  • Adriana Garroni
Article

Abstract

. We show that discrete models of atoms subject to nearest‐neighbour non‐linear interactions approximate continua allowing for softening and fracture. A detailed study of local minima and stationary points is carried out. Scale effects are discussed.

Keywords

Local Minimum Fracture Mechanics Stationary Point Variational Formulation Scale Effect 
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 1999

Authors and Affiliations

  • Andrea Braides
    • 1
  • Gianni Dal Maso
    • 1
  • Adriana Garroni
    • 2
  1. 1.SISSA, via Beirut 4, 34014 Trieste, Italy, e‐mail: braides@sissa.it, dalmaso@sissa.itIT
  2. 2.Departimento di Matematica, Università di Roma “La Sapienza” piazzale Aldo Moro 2, 00185 Roma, Italy e‐mail: garroni@mercurio.mat.uniroma1.itIT

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