Homogenization of trabecular structures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F20%3A00340945" target="_blank" >RIV/68407700:21110/20:00340945 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1051/matecconf/202031000041" target="_blank" >https://doi.org/10.1051/matecconf/202031000041</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1051/matecconf/202031000041" target="_blank" >10.1051/matecconf/202031000041</a>

Result language

angličtina

Original language name

Homogenization of trabecular structures

Original language description

Numerical modeling of implants and specimens made from trabecular structures can be difficult and time-consuming. Trabecular structures are characterized as spatial truss structures composed of beams. A detailed discretization using the finite element method usually leads to a large number of degrees of freedom. It is attributed to the effort of creating a very fine mesh to capture the geometry of beams of the structure as accurately as possible. This contribution presents a numerical homogenization as one of the possible methods of trabecular structures modeling. The proposed approach is based on a multi-scale analysis, where the whole specimen is assumed to be homogeneous at a macro-level with assigned effective properties derived from an independent homogenization problem at a meso-level. Therein, the trabecular structure is seen as a porous or two-component medium with the metal structure and voids filled with the air or bone tissue at the meso-level. This corresponds to a two-level finite element homogenization scheme. The specimen is discretized by a reasonable coarse mesh at the macro-level, called the macro-scale problem, while the actual microstructure represented by a periodic unit cell is discretized with sufficient accuracy, called the meso-scale problem. Such a procedure was already applied to modeling of composite materials or masonry structures. The application of this multi-scale analysis is illustrated by a numerical simulation of laboratory compression tests of trabecular specimens.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

Project

<a href="/en/project/GA18-24867S" target="_blank" >GA18-24867S: Multi-scale modelling of mechanical properties of heterogeneous materials and structures on PC clusters</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

MATEC Web of Conferences

ISBN

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ISSN

2261-236X

e-ISSN

2261-236X

Number of pages

9

Pages from-to

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Publisher name

EDP Sciences

Place of publication

Les Ulis Cedex A

Event location

Štrbské Pleso, Slovakia

Event date

Nov 13, 2019

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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