The Decay of Stress Waves in One‐Dimensional Polymer Rods

1971 ◽  
Vol 15 (2) ◽  
pp. 345-353 ◽  
Author(s):  
E. K. Walsh
Keyword(s):  
Stress Waves ◽  
One Dimensional ◽  
Polymer Rods

scholarly journals On reflected and transmitted stress waves at an elastic-plastic boundary

1980 ◽  
Vol 15 (1) ◽  
pp. 15-20 ◽  
Author(s):  
A S Khan
Keyword(s):  
Wave Theory ◽  
Finite Amplitude ◽  
Stress Waves ◽  
Constitutive Relationship ◽  
One Dimensional ◽  
Elastic Plastic ◽  
Linear Elastic ◽  
Transmitted Waves ◽  
The One ◽  
Dynamic Plastic Deformation

A theoretical analysis for the reflected and transmitted waves at an elastic-plastic boundary is presented. The basis of this analysis is the linear elastic wave theory in a hard load-bar and the one-dimensional, strain-rate-independent theory of finite-amplitude plastic waves in a soft specimen. The constitutive relationship during dynamic plastic deformation is an experimentally determined dynamic response function in the soft material. The analysis predicts results that agree very closely with experimental results.

Determination of the Unloading Boundary in Longitudinal Elastic-Plastic Stress Wave Propagation

1971 ◽  
Vol 38 (4) ◽  
pp. 888-894 ◽  
Author(s):  
P. A. Tuschak ◽  
A. B. Schultz
Keyword(s):  
Wave Propagation ◽  
Moving Boundary ◽  
Stress Waves ◽  
Stress Wave Propagation ◽  
Initial Portion ◽  
One Dimensional ◽  
Elastic Plastic ◽  
In Series ◽  
Plastic Stress

For several types of excitation of one-dimensional elastic-plastic stress waves in a rod, unloading waves propagate which interact with the loading waves. The moving boundary at which this interaction occurs is the unloading boundary. A knowledge of the location of this boundary and the behavior exhibited on it is necessary for the solution of wave-propagation problems of this kind. A technique is presented to obtain an arbitrary number of terms in series expressions describing the response in semi-infinite rods. Several examples, including finite mass impact of the rod, are given to illustrate the use of the technique. The technique will determine the initial portion of the boundary in a finite length rod.

Optimum Design of Layered Elastic Stress Wave Attenuators

1967 ◽  
Vol 34 (3) ◽  
pp. 751-755 ◽  
Author(s):  
L. E. Anfinsen
Keyword(s):  
Stress Wave ◽  
Elastic Stress ◽  
Stress Amplitude ◽  
Stress Waves ◽  
Wave Form ◽  
One Dimensional ◽  
In Series ◽  
Optimal Material ◽  
Subsequent Propagation ◽  
Elastic Stress Wave

The problem of maximizing or minimizing the amplitude of stress waves propagating through a one-dimensional elastic layered structure is investigated. The properties of layers in series, situated between free and fixed surfaces, are used in deriving difference equations that relate the applied stress wave form at the free surface to the transmitted stress wave form at the fixed surface along characteristic paths. Optimal material requirements are determined for the first transmitted stress wave, which strongly influences the subsequent propagation. Similarity parameters are derived by transform methods which provide optimization criteria for the two-layer case. Materials are systematically selected that can provide stress amplitude reductions of more than 99 percent.

ANALYSIS OF ELASTO-PLASTIC STRESS WAVES BY A TIME-DISCONTINUOUS VARIATIONAL INTEGRATOR OF HAMILTONIAN

2008 ◽  
Vol 22 (31n32) ◽  
pp. 6259-6264
Author(s):  
SANG-SOON CHO ◽  
HOON HUH ◽  
KWANG-CHUN PARK
Keyword(s):  
Finite Element Analysis ◽  
Plastic Deformation ◽  
Numerical Algorithm ◽  
Stress Waves ◽  
Element Analysis ◽  
One Dimensional ◽  
Variational Integrator ◽  
The Stability ◽  
Elastic Unloading ◽  
Plastic Stress

This paper proposes a numerical algorithm of a time-discontinuous variational integrator based on the Hamiltonian in order to obtain more accurate results in the analysis of elasto-plastic stress wave. The algorithm proposed adopts both a time-discontinuous variational integrator and space-continuous Hamiltonian so as to capture discontinuities of stress waves. The algorithm also adopts the limited kinetic energy to enhance the stability of the numerical algorithm so as to solve the discontinuities such as elastic unloading and internal reflection in plastic deformation. Finite element analysis of one dimensional elasto-plastic stress waves is carried out in order to demonstrate the accuracy of the algorithm proposed.

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