Vol. 3, No. 5, 2008

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Renormalizations in solid and fracture mechanics

H. D. Bui

Vol. 3 (2008), No. 5, 853–866
Abstract

We show how some inconsistencies and infinities arising in solid and fracture mechanics can be avoided by renormalization techniques widely used in theoretical physics. Some examples, already known in solid mechanics or recently discovered in fracture mechanics, are given as illustrations.

Keywords
fracture mechanics, divergence, renormalization, regularization
Milestones
Received: 4 April 2008
Accepted: 26 May 2008
Published: 1 July 2008
Authors
H. D. Bui
Laboratoire de Mécanique des Solides (CNRS UMR 7649)
École Polytechnique
Palaiseau Cedex 91128
France
LaMSID/CNRS UMR 2932
EDF Clamart
France