Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation

L. A A Beex, P. Kerfriden, Timon Rabczuk, S. P A Bordas

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The quasicontinuum (QC) method is a multiscale approach that aims to reduce the computational cost of discrete lattice computations. The method incorporates small-scale local lattice phenomena (e.g.a single lattice defect) in macroscale simulations. Since the method works directly and only on the beam lattice, QC frameworks do not require the construction and calibration of an accompanying continuum model (e.g.a cosserat/micropolar description). Furthermore, no coupling procedures are required between the regions of interest in which the beam lattice is fully resolved and coarse domains in which the lattice is effectively homogenized. Hence, the method is relatively straightforward to implement and calibrate. In this contribution, four variants of the QC method are investigated for their use for planar beam lattices which can also experience out-of-plane deformation. The different frameworks are compared to the direct lattice computations for three truly multiscale test cases in which a single lattice defect is present in an otherwise perfectly regular beam lattice.

Original languageEnglish
Pages (from-to)348-378
Number of pages31
JournalComputer Methods in Applied Mechanics and Engineering
Volume279
DOIs
Publication statusPublished - 2014 Jun 20
Externally publishedYes

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Crystal defects
Crystal lattices
Calibration
Costs
defects
continuums
costs

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

Cite this

Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation. / Beex, L. A A; Kerfriden, P.; Rabczuk, Timon; Bordas, S. P A.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 279, 20.06.2014, p. 348-378.

Research output: Contribution to journalArticle

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