A multiscale quasicontinuum method for lattice models with bond failure and fiber sliding

Structural lattice models incorporating trusses and beams are frequently used to mechanically model fibrous materials, because they can capture (local) mesoscale phenomena. Physically relevant lattice computations are however computationally expensive. A suitable multiscale approach to reduce the co...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2014-02, Vol.269, p.108-122
Main Authors: Beex, L.A.A., Peerlings, R.H.J., Geers, M.G.D.
Format: Article
Language:English
Subjects:
Bond failure
Computation
Failure
Fiber
Fibers
Friction
Lattice model
Lattices
Mathematical analysis
Mathematical models
Multiscale
Quality control
Quasicontinuum method
Sliding
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Summary:Structural lattice models incorporating trusses and beams are frequently used to mechanically model fibrous materials, because they can capture (local) mesoscale phenomena. Physically relevant lattice computations are however computationally expensive. A suitable multiscale approach to reduce the computational cost of large-scale lattice computations is the quasicontinuum (QC) method. This method resolves local mesoscale phenomena in regions of interest and coarse grains elsewhere, using only the lattice model. In previous work, a virtual-power-based QC framework is proposed for lattice models that include local dissipative mechanisms. In this paper, the virtual-power-based QC method is adopted for lattice models in which bond failure and subsequent frictional fiber sliding are incorporated – which are of significant importance for fibrous materials such as paper, cardboard, textile and electronic textile. Bond failure and fiber sliding are nonlocal dissipative mechanisms and to deal with this nonlocality, the virtual-power-based QC method is equipped with a mixed formulation in which the kinematic variables as well as the internal history variables are interpolated. Previously defined summation rules can still be used to sample the governing equations in this QC framework. Illustrative examples are presented.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2013.10.027