DG Solver for the Simulation of Simplified Elastic Waves in Two-Dimensional Piecewise Homogeneous Media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F29142890%3A_____%2F17%3AN0000011" target="_blank" >RIV/29142890:_____/17:N0000011 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/49777513:23210/17:43932217

Výsledek na webu

<a href="http://nnw.cz/doi/2017/NNW.2017.27.021.pdf" target="_blank" >http://nnw.cz/doi/2017/NNW.2017.27.021.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/NNW.2017.27.021" target="_blank" >10.14311/NNW.2017.27.021</a>

Jazyk výsledku

angličtina

Název v původním jazyce

DG Solver for the Simulation of Simplified Elastic Waves in Two-Dimensional Piecewise Homogeneous Media

Popis výsledku v původním jazyce

The theory of elasticity is a very important discipline which has a lot of applications in science and engineering. In this paper we are interested in elastic materials with different properties between interfaces implicated the discontinuous coefficients in the governing elasticity equations. The main aim is to develop a practical numerical scheme for modeling the behaviour of a simplified piecewise homogeneous medium subjected to an external action in 2D domains. Therefore, the discontinuous Galerkin method is used for the simulation of elastic waves in such elastic materials. The special attention is also paid to treatment of boundary and interface conditions. For the treatment of the time dependency the implicit Euler method is employed. Moreover, the limiting procedure is incorporated in the resulting numerical scheme in order to overcome nonphysical spurious overshoots and undershoots in the vicinity of discontinuities in discrete solutions. Finally, we present computational results for two-component material, representing a planar elastic body subjected to a mechanical hit or mechanical loading.

Název v anglickém jazyce

DG Solver for the Simulation of Simplified Elastic Waves in Two-Dimensional Piecewise Homogeneous Media

Popis výsledku anglicky

The theory of elasticity is a very important discipline which has a lot of applications in science and engineering. In this paper we are interested in elastic materials with different properties between interfaces implicated the discontinuous coefficients in the governing elasticity equations. The main aim is to develop a practical numerical scheme for modeling the behaviour of a simplified piecewise homogeneous medium subjected to an external action in 2D domains. Therefore, the discontinuous Galerkin method is used for the simulation of elastic waves in such elastic materials. The special attention is also paid to treatment of boundary and interface conditions. For the treatment of the time dependency the implicit Euler method is employed. Moreover, the limiting procedure is incorporated in the resulting numerical scheme in order to overcome nonphysical spurious overshoots and undershoots in the vicinity of discontinuities in discrete solutions. Finally, we present computational results for two-component material, representing a planar elastic body subjected to a mechanical hit or mechanical loading.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

—

Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

NEURAL NETWORK WORLD

ISSN

1210-0552

e-ISSN

—

Svazek periodika

27

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

17

Strana od-do

373-389

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85028701815