Error Bounds on Elastic-Plastic Strain Wave Measurements

1971 ◽  
Vol 93 (4) ◽  
pp. 478-480 ◽  
Author(s):  
J. G. Wagner
Keyword(s):  
Wave Propagation ◽  
Plastic Strain ◽  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Strain Wave ◽  
One Dimensional ◽  
Elastic Plastic ◽  
Strain Behavior ◽  
Wave Measurements ◽  
Dimensional Wave

Bounds are established on the errors associated with elastic-plastic strain wave measurements involving finite gage lengths. Attention is restricted to the case of one-dimensional wave propagation in a semi-infinite bar. A bi-linear model of the stress-strain behavior provides a means of calculating realistic upper and lower bounds on the relative error of amplitude measurements. Rise time errors are also discussed and illustrated.

The Elastic-Plastic Boundary in One-Dimensional Wave Propagation

1968 ◽  
Vol 35 (4) ◽  
pp. 812-814 ◽  
Author(s):  
R. J. Clifton ◽  
T. C. T. Ting
Keyword(s):  
Wave Propagation ◽  
One Dimensional ◽  
Elastic Plastic ◽  
Dimensional Wave

On the Initial Speed of Elastic-Plastic Boundaries in Longitudinal Wave Propagation in a Rod

1971 ◽  
Vol 38 (2) ◽  
pp. 441-447 ◽  
Author(s):  
T. C. T. Ting
Keyword(s):  
Wave Propagation ◽  
Numerical Solution ◽  
Longitudinal Wave ◽  
Time Derivative ◽  
Initial Speed ◽  
One Dimensional ◽  
Elastic Plastic ◽  
Before And After ◽  
Longitudinal Wave Propagation ◽  
Dimensional Wave

A study is given of elastic-plastic boundaries which start at the end x = 0 of a rod in one-dimensional wave propagation. The initial speed of the elastic-plastic boundaries at x = 0 and at any time, say t = t0, is determined analytically for all possible combinations of the time derivative σt of the stress σ(0, t) before and after t = t0. If σt at x = 0 is continuous and vanishes at t = t0, all possible combinations of σtt before and after t = t0 are considered. The analysis also gives the number of regions involved, the derivatives in each region, and distinguishes elastic regions from plastic regions. These are useful guides for a numerical solution of general initial and boundary-value problems.

Longitudinal Collision of Rod-Rigid Element Systems

1983 ◽  
Vol 50 (3) ◽  
pp. 637-640 ◽  
Author(s):  
A. Mioduchowski ◽  
M. G. Faulkner ◽  
A. Pielorz ◽  
W. Nadolski
Keyword(s):  
Wave Propagation ◽  
Elastic Rods ◽  
Propagation Theory ◽  
One Dimensional ◽  
Rigid Element ◽  
Dimensional Wave

One-dimensional wave propagation theory is used to investigate the forces, velocities, and displacements in a series of elastic rods connected to rigid elements. The method is applied to the case of two subsystems that collide. The technique allows the calculations to be done during a short-lived event such as a collision.

scholarly journals Upper and lower bounds on the speed of a one-dimensional excited random walk

2019 ◽  
Vol 12 (1) ◽  
pp. 97-115
Author(s):  
Erin Madden ◽  
Brian Kidd ◽  
Owen Levin ◽  
Jonathon Peterson ◽  
Jacob Smith ◽  
...  
Keyword(s):  
Random Walk ◽  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
One Dimensional ◽  
Excited Random Walk
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