Relation between Structural Size and the Discretization Density of Brittle Homogeneous Lattice Models

Miroslav Vořechovský; Jan Eliáš

doi:10.4028/www.scientific.net/KEM.525-526.485

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 525-526Relation between Structural Size and the...

Relation between Structural Size and the Discretization Density of Brittle Homogeneous Lattice Models

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.

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Key Engineering Materials (Volumes 525-526)

Pages:

485-488

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.525-526.485

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Online since:

November 2012

Authors:

Miroslav Vořechovský, Jan Eliáš

Keywords:

Bent Beams, Brittle Elements, Lattice Model, Mesh Size, Size Effect

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