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FE modeling of dispersion in cylinders
As you may know wave propagation in circular cylinders is dispersive. As shown by Pochhammer, there
could be several different modes propagating in an infinite cylinder with
different wave speeds. I'm modeling wave propagation in a finite 3D circular cylinder in
LS-DYNA with solid elements and I'm applying a sinusoidal pressure along
the cylinder axis at one end while the other end is free. Based on
Pochhammer solution at a certain frequency there could be different
modes propagating in the cylinders with different speeds. I've observed
this in ultrasonic experiment. I apply sinusoidal pressure wave at one
end of a circular cylinder and receive the signal at the other end and I
can see different modes propagating with different speeds at different
frequencies. My question is why I dont see this effect in my 3D FE
model? All I see in my FE model is the 1st mode propagating in the
cylinder in all different frequencies.
SHPB modeling
Hello
I have something on the modeling of the SHPB. I cannot promise that you will find the answer to your particular problem in it.
Study these materials, available freely:
1) in the ABAQUS manual:
Getting Started with Abaqus: Keywords Edition
9.1 Types of problems suited for Abaqus/Explicit
Getting Started with Abaqus: Keywords Edition
9.4 Example: stress wave propagation in a bar
2) MODELING AND EXPERIMENTAL INVESTIGATIONS OF THE SHOCK
RESPONSE OF VISCOELASTIC FOAMS
by Richard J. Deigan
Dissertation submitted to the Faculty of the Graduate School of the
University of Maryland, College Park, in partial fulfillment
of the requirements for the degree of
Doctorate of Philosophy
2007
3) 2D Hopkinson bar simulation analysis
Al 6061-T6 specimens
A. Bouamoul
DRDC Valcartier
Defence R&D Canada – Valcartier
Technical Memorandum
DRDC Valcartier TM 2004-363
March 2006
4) Anthony D. Puckett:
Thesis
Fidelity of a Finite Element Model
for Longitudinal Wave Propagation
in Thick Cylindrical Wave Guides
Los Alamos National Laboratory
LA-13753-T
5) Army Research Laboratory:
Numerical Hopkinson Bar Analysis: Uni-Axial Stress and
Planar Bar-Specimen Interface Conditions by Design
by Bazle A. Gama and John W. Gillespie, Jr.
ARL-CR-553 September 2004
prepared by
University of Delaware
Center for Composite Materials
Newark, DE 19716
under contract
DAAD19-01-2-0005
6) find more on the Internet
Good luck
Frank
------------------------------------------
Ruhr-University
Bochum
Germany