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Quasistatic brittle fracture seen as an energy minimizing movement
Author(s) -
Francfort G.A.
Publication year - 2006
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201490029
Subject(s) - quasistatic process , scope (computer science) , brittle fracture , brittleness , fracture (geology) , computation , fracture mechanics , classical mechanics , mechanics , mathematics , calculus (dental) , mathematical economics , computer science , physics , structural engineering , geology , engineering , geotechnical engineering , algorithm , orthodontics , thermodynamics , medicine , programming language
This article presents an overview of the current state of the variational theory of quasistatic brittle fracture. It is shown that that theory, while departing only slightly from the classical theory of Griffith, alleviates many of the obstacles usually associated with quasistatic crack growth. The underlying mathematics are outlined, the various available results sketched, and the drawbacks discussed. Two numerical computations, well beyond the scope of the classical theory, are presented. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)