Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F16%3A00458121" target="_blank" >RIV/61388998:_____/16:00458121 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1002/nme.5010" target="_blank" >http://dx.doi.org/10.1002/nme.5010</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nme.5010" target="_blank" >10.1002/nme.5010</a>

Result language

angličtina

Original language name

Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics

Original language description

This work presents the temporal-spatial (full) dispersion and stability analysis of plane square linear and biquadratic serendipity finite elements in explicit numerical solution of transient elastodynamic problems. Here, the central difference method, as an explicit time integrator, is exploited. The paper complements and extends the previous work on spatial/grid dispersion analysis of plane square biquadratic serendipity finite elements. We report on a computational strategy for temporal-spatial dispersion relationships, where eigenfrequencies from grid/spatial dispersion analysis are adjusted to comply with the time integration method. Besides that, an optimal’ lumped mass matrix for the studied finite element types is proposed and investigated. Based on the temporal-spatial dispersion and stability analysis, relationships suggesting the proper’ choice of mesh size and time step size from knowledge of the loading spectrum are presented

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BI - Acoustics and oscillation

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

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

Name of the periodical

International Journal for Numerical Methods in Engineering

ISSN

0029-5981

e-ISSN

—

Volume of the periodical

106

Issue of the periodical within the volume

2

Country of publishing house

GB - UNITED KINGDOM

Number of pages

16

Pages from-to

113-128

UT code for WoS article

000372320500002

EID of the result in the Scopus database

2-s2.0-84945311310