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Performance of time‐stepping schemes for discrete models in fracture dynamic analysis
Author(s) -
Delaplace Arnaud,
Ibrahimbegovic Adnan
Publication year - 2005
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.1509
Subject(s) - brittle fracture , voronoi diagram , brittleness , fracture (geology) , displacement (psychology) , traction (geology) , structural engineering , scheme (mathematics) , computer science , mathematics , geology , geotechnical engineering , engineering , mathematical analysis , geometry , materials science , mechanical engineering , psychology , composite material , psychotherapist
In this work we present a critical evaluation of different time integration schemes within the setting of non‐linear dynamic analysis of brittle fracture problem represented by a discrete model. The discrete model of this kind consists of Voronoi cells representing the grains of a heterogeneous structure, which are interconnected by cohesive forces modelled by beam‐like links capable of taking properly into account both brittle dynamic fracture and large displacement of a still connected pack of grains that might split from the structure. The brittle behaviour of cohesive links requires that the dynamic analysis of such a model be treated with care, and the best possible integration scheme be selected. Four different schemes are explored and compared in application to a dynamic traction test, including Newmark explicit and implicit schemes, HHT‐α scheme and energy‐decaying scheme. Copyright © 2005 John Wiley & Sons, Ltd.
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