Publication result detail

Relation between structural size and the discretization density of brittle homogeneous lattice models

VOŘECHOVSKÝ, M.; ELIÁŠ, J.

Original Title

Relation between structural size and the discretization density of brittle homogeneous lattice models

English Title

Relation between structural size and the discretization density of brittle homogeneous lattice models

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

This paper contains the results of an investigation into the effect of the discretization of lattice models. The study is performed with homogeneous models where all elements share the same strength. Elemental constitutive law is linearly-brittle, meaning that elements behave linearly but are completely removed from the structure as soon as they reach the limit of their strength. The relation between structural size and discretization density is studied with unnotched beams loaded in three point bending (modulus of rupture test). We report the results for regular discretization and irregular networks obtained via Voronoi tessellation. This is carried out for two types of models: these being with and without rotational springs (normal and shear springs are always present). The numerically obtained dependence of strength on discretization density is compared to the analytical size effect formula.

English abstract

This paper contains the results of an investigation into the effect of the discretization of lattice models. The study is performed with homogeneous models where all elements share the same strength. Elemental constitutive law is linearly-brittle, meaning that elements behave linearly but are completely removed from the structure as soon as they reach the limit of their strength. The relation between structural size and discretization density is studied with unnotched beams loaded in three point bending (modulus of rupture test). We report the results for regular discretization and irregular networks obtained via Voronoi tessellation. This is carried out for two types of models: these being with and without rotational springs (normal and shear springs are always present). The numerically obtained dependence of strength on discretization density is compared to the analytical size effect formula.

Keywords

lattice model, brittle elements, mesh size, bent beams, size effect

Key words in English

lattice model, brittle elements, mesh size, bent beams, size effect

Authors

VOŘECHOVSKÝ, M.; ELIÁŠ, J.

RIV year

2013

Released

03.12.2012

Location

Switzerland

ISBN

1662-9795

Periodical

Key Engineering Materials (web)

Volume

2013

Number

525-526

State

Swiss Confederation

Pages from

485

Pages to

488

Pages count

4

BibTex

@article{BUT98065,
  author="Miroslav {Vořechovský} and Jan {Eliáš}",
  title="Relation between structural size and the discretization density of brittle homogeneous lattice models",
  journal="Key Engineering Materials (web)",
  year="2012",
  volume="2013",
  number="525-526",
  pages="485--488",
  issn="1662-9795"
}