Spurious reflection of elastic waves due to gradually changing finite element size

DOI10.1002/nme.1620190503zbMath0509.73073OpenAlexW2063521043MaRDI QIDQ4749353

Zdeněk P. Bažant, Zekai Celep

Publication date: 1983

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620190503

zbMATH Keywords

arithmetic progressioncomplex variablesgeometric progressionnumerical plotstwo uniform gridslinear strain distributiondifferent element sizeselement size varies graduallyinsignificant for ratios over 10:1 spurious reflectionlargest element size is as low as 4:1ratio of wavelengthseparated by transition zonespurious wave reflection is very significant

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Waves in solid mechanics (74J99) Elastic materials (74B99) Numerical and other methods in solid mechanics (74S99)

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