Full Field Computing for Elastic Pulse Dispersion in Inhomogeneous Bars

A. Berezovski; R. Kolman; M. Berezovski; D. Gabriel; V. Adamek

doi:10.1016/j.compstruct.2018.07.055

Full Field Computing for Elastic Pulse Dispersion in Inhomogeneous Bars

A. Berezovski, R. Kolman, M. Berezovski, D. Gabriel, V. Adamek

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In the paper, the finite element method and the finite volume method are used in parallel for the simulation of a pulse propagation in periodically layered composites beyond the validity of homogenization methods. The direct numerical integration of a pulse propagation demonstrates dispersion effects and dynamic stress redistribution in physical space on example of a one-dimensional layered bar. Results of numerical simulations are compared with analytical solution constructed specifically for the considered problem. Analytical solution as well as numerical computations show the strong influence of the composition of constituents on the dispersion of a pulse in a heterogeneous bar and the equivalence of results obtained by two numerical methods.

Original language	American English
Journal	Composite Structures
Volume	204
DOIs	https://doi.org/10.1016/j.compstruct.2018.07.055
State	Published - Jul 29 2018

Keywords

Wave propagation
Wave dispersion
Heterogeneous solids
Finite element method
Finite volume method

Disciplines

Mechanics of Materials
Numerical Analysis and Computation
Partial Differential Equations

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Full Field Computing for Elastic Pulse Dispersion in InhomogeneouFinal published version, 437 KBLicense: CC BY

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title = "Full Field Computing for Elastic Pulse Dispersion in Inhomogeneous Bars",

abstract = " In the paper, the finite element method and the finite volume method are used in parallel for the simulation of a pulse propagation in periodically layered composites beyond the validity of homogenization methods. The direct numerical integration of a pulse propagation demonstrates dispersion effects and dynamic stress redistribution in physical space on example of a one-dimensional layered bar. Results of numerical simulations are compared with analytical solution constructed specifically for the considered problem. Analytical solution as well as numerical computations show the strong influence of the composition of constituents on the dispersion of a pulse in a heterogeneous bar and the equivalence of results obtained by two numerical methods.",

keywords = "Wave propagation, Wave dispersion, Heterogeneous solids, Finite element method, Finite volume method",

author = "A. Berezovski and R. Kolman and M. Berezovski and D. Gabriel and V. Adamek",

note = "Berezovski, A., Kolman, R., Berezovski, M., Gabriel, D., Ad{\'a}mek, V., Full field computing for elastic pulse dispersion in inhomogeneous bars, Composite Structures (2018), doi: https://doi.org/10.1016/j.compstruct.2018.07.055",

year = "2018",

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doi = "10.1016/j.compstruct.2018.07.055",

language = "American English",

volume = "204",

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TY - JOUR

T1 - Full Field Computing for Elastic Pulse Dispersion in Inhomogeneous Bars

AU - Berezovski, A.

AU - Kolman, R.

AU - Berezovski, M.

AU - Gabriel, D.

AU - Adamek, V.

N1 - Berezovski, A., Kolman, R., Berezovski, M., Gabriel, D., Adámek, V., Full field computing for elastic pulse dispersion in inhomogeneous bars, Composite Structures (2018), doi: https://doi.org/10.1016/j.compstruct.2018.07.055

PY - 2018/7/29

Y1 - 2018/7/29

N2 - In the paper, the finite element method and the finite volume method are used in parallel for the simulation of a pulse propagation in periodically layered composites beyond the validity of homogenization methods. The direct numerical integration of a pulse propagation demonstrates dispersion effects and dynamic stress redistribution in physical space on example of a one-dimensional layered bar. Results of numerical simulations are compared with analytical solution constructed specifically for the considered problem. Analytical solution as well as numerical computations show the strong influence of the composition of constituents on the dispersion of a pulse in a heterogeneous bar and the equivalence of results obtained by two numerical methods.

AB - In the paper, the finite element method and the finite volume method are used in parallel for the simulation of a pulse propagation in periodically layered composites beyond the validity of homogenization methods. The direct numerical integration of a pulse propagation demonstrates dispersion effects and dynamic stress redistribution in physical space on example of a one-dimensional layered bar. Results of numerical simulations are compared with analytical solution constructed specifically for the considered problem. Analytical solution as well as numerical computations show the strong influence of the composition of constituents on the dispersion of a pulse in a heterogeneous bar and the equivalence of results obtained by two numerical methods.

KW - Wave propagation

KW - Wave dispersion

KW - Heterogeneous solids

KW - Finite element method

KW - Finite volume method

UR - https://commons.erau.edu/publication/994

U2 - 10.1016/j.compstruct.2018.07.055

DO - 10.1016/j.compstruct.2018.07.055

M3 - Article

SN - 1879-1085

VL - 204

JO - Composite Structures

JF - Composite Structures

ER -

Full Field Computing for Elastic Pulse Dispersion in Inhomogeneous Bars

Abstract

Keywords

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