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Modelling of elastic continua using a grillage of structural elements based on discrete element concepts
Author(s) -
Griffiths D. V.,
Mustoe G. G. W.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.99
Subject(s) - structural engineering , finite element method , beam (structure) , elasticity (physics) , context (archaeology) , element (criminal law) , structural system , engineering , computer science , mathematics , materials science , geology , composite material , paleontology , political science , law
Abstract A framework is described for modelling an elastic continuum using a grillage of beam‐like structural elements derived from discrete element concepts. The beam element properties are derived in detail and implemented in a structural analysis code for validation against classical two‐dimensional plane elasticity solutions. The framework offers the possibility of modelling the onset and propagation of fracture in materials that are initially continuous, without the need for specialized elements or remeshing in the context of traditional finite elements. Copyright © 2001 John Wiley & Sons, Ltd.