Vibratory Motion of a Body on an Orthotropic Half Plane

1972 ◽  
Vol 39 (4) ◽  
pp. 1033-1040 ◽  
Author(s):  
J. M. Freedman ◽  
L. M. Keer
Keyword(s):  
Boundary Value Problems ◽  
Half Plane ◽  
Previous Investigation ◽  
Boundary Value ◽  
Orthotropic Materials ◽  
Vibratory Motion ◽  
Rocking Motion

Three boundary-value problems for an orthotropic half plane are solved. They correspond to the cases studied in a previous investigation by Karasudhi, Keer, and Lee [9] for a body undergoing independent vertical, horizontal, and rocking motion. Dynamic stiffnesses are computed for three typical orthotropic materials: beryllium, ice, and a steel-mylar composite.

The half-plane diffraction problem for harmonic time dependence

1959 ◽  
Vol 252 (1270) ◽  
pp. 411-417 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Time Dependence ◽  
Boundary Value Problems ◽  
Half Plane ◽  
Mixed Type ◽  
Boundary Value ◽  
Diffraction Problem ◽  
Two Dimensional ◽  
Conducting Screen ◽  
Plane Diffraction

Green’s functions are obtained for the boundary-value problems of mixed type describing the general two-dimensional diffraction problems at a screen in the form of a half-plane (Sommerfeld’s problem), applicable to acoustically rigid or soft screens, and to the full electromagnetic field at a perfectly conducting screen.

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