Elastic-Plastic Wave Propagation of Combined Generalized Forces in a Timoshenko Beam

1991 ◽  
pp. 361-370 ◽  
Author(s):  
M. Müller ◽  
W. Hauger
1968 ◽  
Vol 35 (4) ◽  
pp. 782-786 ◽  
Author(s):  
R. J. Clifton

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.


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

1987 ◽  
Vol 58 (1) ◽  
pp. 33-39 ◽  
Author(s):  
Essam El-Magd ◽  
Karl-Josef Hellwig ◽  
Hans-Günter Höck ◽  
Mohamad Homayun

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