Publication detail

Relations between structure size, mesh density, and elemental strength of lattice models

VOŘECHOVSKÝ, M. ELIÁŠ, J.

Original Title

Relations between structure size, mesh density, and elemental strength of lattice models

Type

conference paper

Language

English

Original Abstract

We study the effect of discretization of lattice models. Two basic cases are examined: (i) homogeneous lattices, where all elements share the same strength and (ii) lattices in which the properties are assigned to the elements according to their correspondence to three phases of concrete, namely matrix, aggregates, and the interfacial transitional zone. These dependencies are studied with both, notched and unnotched beams loaded in three point bending. We report the results for regular discretization and irregular networks obtained via Voronoi tessellation. This is done for two types of models: with and without rotational springs (normal and shear springs are always present). All the springs are ideally brittle, i.e. after reaching the strength criterion; they are irreversibly removed from the structure. The dependence of strength is compared to various size effect formulas, and we show that in the case of homogeneous lattices, the fineness of discretization of the specimens of the same size can mimic variations in the size of lattice models with the same discretization density. In the case of heterogeneity (ii), we report how both the peak force and fracture energy depend on the mesh resolution both for notched and unnotched structure.

Keywords

discretization of lattice models

Authors

VOŘECHOVSKÝ, M.; ELIÁŠ, J.

RIV year

2010

Released

28. 5. 2010

Location

Austria

ISBN

978-0-415-58479-1

Book

Computational Modelling of Concrete Structures

Pages from

419

Pages to

428

Pages count

10

BibTex

@inproceedings{BUT36395,
  author="Miroslav {Vořechovský} and Jan {Eliáš}",
  title="Relations between structure size, mesh density, and elemental strength of lattice models",
  booktitle="Computational Modelling of Concrete Structures",
  year="2010",
  pages="419--428",
  address="Austria",
  isbn="978-0-415-58479-1"
}