An integral equation method for stress concentration problems in cylindrical shells

1977 ◽  
Vol 7 (3) ◽  
pp. 283-305 ◽  
Author(s):  
Erik B. Hansen
Keyword(s):  
Integral Equation ◽  
Stress Concentration ◽  
Cylindrical Shells ◽  
Integral Equation Method ◽  
Equation Method

Stress Concentration in a Stretched Cylindrical Shell With Two Elliptical Holes

1978 ◽  
Vol 45 (4) ◽  
pp. 839-844 ◽  
Author(s):  
E. B. Hansen
Keyword(s):  
Integral Equation ◽  
Cylindrical Shell ◽  
Stress Concentration ◽  
Circular Cylindrical Shell ◽  
Integral Equation Method ◽  
Equation Method ◽  
Center Line ◽  
Axial Tension ◽  
Bending Stresses ◽  
Elliptical Holes

The circumferential membrane and bending stresses at the edges of two identical elliptical holes in a circular cylindrical shell loaded by axial tension are computed by means of an integral equation method. Pairs of holes of which the center line is along a generator of the shell, along a directrix, or in a direction forming an angle of 45° with the generators are considered. For each of these hole configurations results are presented for a number of hole distances, hole sizes, and axis ratios.

scholarly journals The boundary integral equation method with application to certain stress concentration problems in elasticity

1981 ◽  
Vol 22 (4) ◽  
pp. 381-393 ◽  
Author(s):  
F. J. Rizzo ◽  
D. J. Shippy
Keyword(s):  
Integral Equation ◽  
Stress Concentration ◽  
Boundary Integral Equation ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Three Dimensions ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Elliptic Type ◽  
Concentration Problem

AbstractThe essential aspects of the Boundary Integral Equation Method for the numerical solution of elliptic type boundary value problems are presented. A numerical example for a stress concentration problem in classical elasticity in three dimensions is given along with several examples for a class of scalar problems in elastic torsion of non-cylindrical bars. Some discussion and criticism of the method itself and in comparison with widely used field methods is also presented.

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