Publication result detail

Mesh dependency and related aspects of lattice models

VOŘECHOVSKÝ, M.; ELIÁŠ, J.

Original Title

Mesh dependency and related aspects of lattice models

English Title

Mesh dependency and related aspects of lattice models

Type

Paper in proceedings outside WoS and Scopus

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. 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.

English 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. 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.

Keywords

Lattice models

Key words in English

Lattice models

Authors

VOŘECHOVSKÝ, M.; ELIÁŠ, J.

RIV year

2011

Released

07.06.2010

Location

Jeju, Korea

ISBN

978-89-5708-180-8

Book

Conference on Fracture Mechanics of Concrete and Concrete Structures (FRAMCOS 7)

Pages from

600

Pages to

607

Pages count

8

BibTex

@inproceedings{BUT37000,
  author="Miroslav {Vořechovský} and Jan {Eliáš}",
  title="Mesh dependency and related aspects of lattice models",
  booktitle="Conference on Fracture Mechanics of Concrete and Concrete Structures (FRAMCOS 7)",
  year="2010",
  pages="600--607",
  address="Jeju, Korea",
  isbn="978-89-5708-180-8"
}