Finite element simulation of wave propagation in an axisymmetric bar

An accurate solution for high-frequency pulse propagation in an axisymmetric elastic bar is obtained using a new finite element technique that yields accurate non-oscillatory solutions for wave propagation problems in solids. The solution of the problem is very important for the understanding of dyn...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 329; no. 14; pp. 2851 - 2872
Main Authors Idesman, A.V., Subramanian, K., Schmidt, M., Foley, J.R., Tu, Y., Sierakowski, R.L.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 05.07.2010
Elsevier
Subjects
Axisymmetric
Density
Dispersions
Exact sciences and technology
Finite element method
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematical models
Physics
Pulse propagation
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Wave propagation
Elastic constant
Young modulus
Finite element method
Strain wave
Poisson ratio
Deformation modulus
Hopkinson bar
Experimental study
High frequency
Modeling
Axial symmetry
Impact test
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Summary:An accurate solution for high-frequency pulse propagation in an axisymmetric elastic bar is obtained using a new finite element technique that yields accurate non-oscillatory solutions for wave propagation problems in solids. The solution of the problem is very important for the understanding of dynamics experiments in the split Hopkinson pressure bar (SHPB). In contrast to known approaches, no additional assumptions are necessary for the accurate solution of the considered problem. The new solution helps to elucidate the complicated distribution of parameters during high-frequency pulse propagation down the bar as well as to estimate the applicability of the traditional dispersion correction used in the literature for the analysis of wave propagation in a finite bar. Due to the dimensionless formulation of the problem, the numerical results obtained depend on Poisson's ratio, the length of the bar and the pulse frequency, and are independent of Young's modulus, the density and the radius of the bar.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2010.01.021