Abstract
Summary The quasicontinuum method, which was developed for atomic lattices, is extended to a more general class of microstructural
models in which discrete points interact via discrete interactions. Such models allow one to study the influence of small-scale features (e.g.
defects) in large-scale problems in a natural fashion, but may be prohibitively expensive. The quasicontinuum method allows one to reduce
the resolution of the description where appropriate, so that realistic simulations become feasible. The conventional, energy based method is
reformulated in terms of a virtual power balance. The summation rules used to account for the influence of discarded lattice points are also
revisited. The performance of the resulting method is illustrated by an example.
Original language | English |
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Title of host publication | Proceedings of the XXIII International Congress on Theoretical and Applied Mechanics(ICTAM), 19-24 August 2012, Beijjing, China |
Place of Publication | Beijjing, China |
Publication status | Published - 2012 |
Event | conference; International Congress on Theoretical and Applied Mechanics; 2012-08-19; 2012-08-24 - Duration: 19 Aug 2012 → 24 Aug 2012 |
Conference
Conference | conference; International Congress on Theoretical and Applied Mechanics; 2012-08-19; 2012-08-24 |
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Period | 19/08/12 → 24/08/12 |
Other | International Congress on Theoretical and Applied Mechanics |