Numerical solutions of the exact equations for axisymmetric wave propagation are obtained with continuous and discontinuous loadings at the impact end of an elastic bar. The solution for a step change in stress agrees with experimental data near the end of the bar and exhibits a region that agrees with the one-dimensional strain approximation. The solution for an applied harmonic displacement closely approaches the Pochhammer-Chree solution at distances removed from the point of application. Reflections from free and rigid-lubricated ends are studied. The solutions after reflection are compared with the elementary one-dimensional stress approximation.
Skip Nav Destination
Numerical Solution for Two-Dimensional Elastic Wave Propagation in Finite Bars
L. D. Bertholf
Sandia Laboratory, Albuquerque, N. Mex.
- Views Icon Views
- Share Icon Share
- Search Site
Bertholf, L. D. (September 1, 1967). "Numerical Solution for Two-Dimensional Elastic Wave Propagation in Finite Bars." ASME. J. Appl. Mech. September 1967; 34(3): 725–734. https://doi.org/10.1115/1.3607768
Download citation file:
Get Email Alerts
Nonlinear Oscillations of Dielectric Elastomer Actuators With Stretch-Dependent Permittivity
J. Appl. Mech (November 2022)
Moiré Tuning of the Dynamic Behavior of a Twisted Bilayer van der Waals Material Resonator
J. Appl. Mech (December 2022)