Journal article
Computational aspects of dispersive computational continua for elastic heterogeneous media
Computational mechanics, v 56(6), pp 931-946
01 Dec 2015
Abstract
The present manuscript focusses on computational aspects of dispersive computational continua (C-2) formulation previously introduced by the authors. The dispersive C-2 formulation is a multiscale approach that showed strikingly accurate dispersion curves. However, the seemingly theoretical advantage may be inconsequential due to tremendous computational cost involved. Unlike classical dispersive methods pioneered more than a half a century ago where the unit cell is quasi-static and provides effective mechanical and dispersive properties to the coarse-scale problem, the dispersive C-2 gives rise to transient problems at all scales and for all microphases involved. An efficient block time-integration scheme is proposed that takes advantage of the fact that the transient unit cell problems are not coupled to each other, but rather to a single coarse-scale finite element they are positioned in. We show that the computational cost of the method is comparable to the classical dispersive methods for short load durations.
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Details
- Title
- Computational aspects of dispersive computational continua for elastic heterogeneous media
- Creators
- Dimitrios Fafalis - Columbia UniversityJacob Fish - Columbia University
- Publication Details
- Computational mechanics, v 56(6), pp 931-946
- Publisher
- Springer Nature
- Number of pages
- 16
- Grant note
- N00014-12-1-0558 / ONR Grant
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:000365706600002
- Scopus ID
- 2-s2.0-84948581952
- Other Identifier
- 991021889995404721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Interdisciplinary Applications
- Mechanics