Stress Function. Complex Representation of the General Solution of the Equations of the Plane Theory of Elasticity

1977 ◽  
pp. 105-166 ◽  
Author(s):  
N. I. Muskhelishvili
Keyword(s):  
General Solution ◽  
Stress Function ◽  
Theory Of Elasticity ◽  
Complex Representation ◽  
Plane Theory ◽  
Plane Theory Of Elasticity

Spherical Symmetry in the Theory of Elasticity

1958 ◽  
Vol 25 (1) ◽  
pp. 136-140
Author(s):  
F. Goded
Keyword(s):  
General Solution ◽  
Stress Tensor ◽  
Axial Symmetry ◽  
Spherical Symmetry ◽  
Stress Function ◽  
Theory Of Elasticity ◽  
Plane Symmetry ◽  
The Subject ◽  
The Common

Abstract Part 1 of the paper presents a study of the common characteristics of both plane symmetry and axial symmetry in the theory of elasticity; viz., the form of the stress tensor and the existence of further analogous symmetries. In Part 2, the subject deals with the possibility of the existence of further analogous symmetries which are found to be possible only in some specific cases. In particular, spherical symmetry is treated. The method of obtaining the stress function of this new symmetry and the equation which this function must satisfy also are discussed, together with the stresses expressed by means of this stress function. The paper ends with a brief review of a general solution of the stress function and an example of the application of this stress function to a given problem.

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