scholarly journals On the motion of a heavy rigid body in two special cases of S.V.Kovalevskaya’s solution

2018 ◽  
Vol 14 (1) ◽  
pp. 123-138
Author(s):  
Г.В. Горр ◽  
◽  
Е.К. Щетинина ◽  
Keyword(s):  
Rigid Body ◽  
Heavy Rigid Body ◽  
Special Cases

Boussinesq's problem for a flat-ended cylinder

1946 ◽  
Vol 42 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Ian N. Sneddon
Keyword(s):  
Free Surface ◽  
Rigid Body ◽  
Elastic Medium ◽  
Normal Displacement ◽  
Full Account ◽  
Elastic Stresses ◽  
Special Cases ◽  
Cylindrical Punch ◽  
Distribution Of Stress ◽  
Boussinesq’S Problem

1. In a recent paper(1) expressions were found for the elastic stresses produced in a semi-infinite elastic medium when its boundary is deformed by the pressure against it of a perfectly rigid body. In deriving the solution of this problem—the ‘Boussinesq’ problem—it was assumed that the normal displacement of a point within the area of contact between the elastic medium and the rigid body is prescribed and that the distribution of pressure over that area is determined subsequently. The solutions for the special cases in which the free surface was indented by a cone, a sphere and a flat-ended cylindrical punch were derived, but no attempt was made to give a full account of the distribution of stress in the interior of the medium in any of these cases.

On integrability of a heavy rigid body sinking in an ideal fluid

2003 ◽  
Vol 54 (4) ◽  
pp. 584-592 ◽  
Author(s):  
Mikhail V. Deryabin ◽  
Poul G. Hjorth
Keyword(s):  
Rigid Body ◽  
Ideal Fluid ◽  
Heavy Rigid Body
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