Nonexistence of higher order discontinuities across elastic/plastic boundary in elastic-plastic wave propagation

1990 ◽  
pp. 115-136 ◽  
Author(s):  
T. C. T. Ting
Keyword(s):  
Wave Propagation ◽  
Higher Order ◽  
Plastic Wave ◽  
Elastic Plastic

Elastic-Plastic Boundaries in Combined Longitudinal and Torsional Plastic Wave Propagation

1968 ◽  
Vol 35 (4) ◽  
pp. 782-786 ◽  
Author(s):  
R. J. Clifton
Keyword(s):  
Wave Propagation ◽  
Time Derivative ◽  
Plastic Wave ◽  
Wave Speeds ◽  
One Dimensional ◽  
Elastic Plastic ◽  
Simple Waves ◽  
Thin Walled Tube ◽  
Loading And Unloading ◽  
All Speeds

Assuming a one-dimensional rate independent theory of combined longitudinal and torsional plastic wave propagation in a thin-walled tube, restrictions are obtained on the possible speeds of elastic-plastic boundaries. These restrictions are shown to depend on the type of discontinuity at the boundary and on whether loading or unloading is occurring. The range of unloading (loading) wave speeds for the case when the nth time derivative of the solution is the first derivative that is discontinuous across the boundary is the complement of the range of unloading (loading) wave speeds for the case when the first discontinuity is in the (n + 1)th time derivative. Thus all speeds are possible for elastic-plastic boundaries corresponding to either loading or unloading. The general features of the discontinuities associated with loading and unloading boundaries are established, and examples are presented of unloading boundaries overtaking simple waves.

scholarly journals Analysis of Longitudinal Elastic-Plastic Wave Propagation Using Hodograph

1972 ◽  
Vol 38 (311) ◽  
pp. 1721-1730
Author(s):  
Hiroya MURAKAMI ◽  
Tadao MUROTA ◽  
Takashi JIMMA
Keyword(s):  
Wave Propagation ◽  
Plastic Wave ◽  
Elastic Plastic

Mechanical behaviour of austenitic steel and aluminium with respect to elastic-plastic wave propagation

1987 ◽  
Vol 58 (1) ◽  
pp. 33-39 ◽  
Author(s):  
Essam El-Magd ◽  
Karl-Josef Hellwig ◽  
Hans-Günter Höck ◽  
Mohamad Homayun
Keyword(s):  
Wave Propagation ◽  
Austenitic Steel ◽  
Mechanical Behaviour ◽  
Plastic Wave ◽  
Elastic Plastic

On elastic-plastic wave propagation

1967 ◽  
Vol 283 (3) ◽  
pp. 203-213 ◽  
Author(s):  
A.D. Fine
Keyword(s):  
Wave Propagation ◽  
Plastic Wave ◽  
Elastic Plastic
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