Archive for Rational Mechanics and Analysis

, Volume 146, Issue 1, pp 23–58

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

  • Andrea Braides
  • Gianni Dal Maso
  • Adriana Garroni
Article

DOI: 10.1007/s002050050135

Cite this article as:
Braides, A., Dal Maso, G. & Garroni, A. Arch Rational Mech Anal (1999) 146: 23. doi:10.1007/s002050050135

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.

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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