The stress distribution in an elastic anisotropic medium with elliptical holes reinforced with elastic rings

1966 ◽  
Vol 2 (8) ◽  
pp. 60-65
Author(s):  
V. A. Shvetsov
Keyword(s):  
Stress Distribution ◽  
Anisotropic Medium ◽  
Elastic Anisotropic Medium ◽  
Elliptical Holes

scholarly journals Stress and Displacement Intensity Factors of Cracks in Anisotropic Media

2020 ◽  
Vol 25 (3) ◽  
pp. 212-218
Author(s):  
S. Kuznetsov ◽  
A. Karakozova
Keyword(s):  
Stress Intensity ◽  
Anisotropic Medium ◽  
Stress Intensity Factors ◽  
Crack Front ◽  
Displacement Discontinuity ◽  
Pseudodifferential Equation ◽  
Intensity Factors ◽  
Elastic Anisotropic Medium ◽  
Arbitrary Anisotropy ◽  
Vector Valued

AbstractA relation connecting stress intensity factors (SIF) with displacement intensity factors (DIF) at the crack front is derived by solving a pseudodifferential equation connecting stress and displacement discontinuity fields for a plane crack in an elastic anisotropic medium with arbitrary anisotropy. It is found that at a particular point on the crack front, the vector valued SIF is uniquely determined by the corresponding DIF evaluated at the same point.

Reinforced Elliptical Holes in Stressed Plates

1957 ◽  
Vol 61 (562) ◽  
pp. 688-693 ◽  
Author(s):  
Raymond Hicks
Keyword(s):  
Stress Distribution ◽  
Cross Section ◽  
Maximum Stress ◽  
Elliptical Hole ◽  
Pressure Vessels ◽  
Stress System ◽  
Sectional Area ◽  
Principal Stresses ◽  
Cross Sectional ◽  
Elliptical Holes

SummaryThis paper considers the problem of a reinforced elliptical hole in a plate under the action of a principal stress system of the type found in cylindrical and ellipsoidal pressure vessels. That is, stress systems in which the ratio of the principal stresses is not greater than two to one. It is shown that when the ratio of the major and minor axes of the ellipse can be chosen arbitrarily, practical reinforcements can be designed to give a maximum stress around the hole which is only slightly greater than the maximum stress in a similarly loaded plate with no hole. General expressions are obtained for the stress distribution in the plate around the hole, for the stress acting on a normal cross section of the reinforcement, and for the cross-sectional area of a reinforcement which gives a small stress concentration. These are used to find the variation in the stress distribution around the hole due to reinforcements having different cross-sectional areas when the applied principal stresses are in the ratio of two to one and Poisson's ratio for the material of the plate and reinforcement has practical values.

Stresses Around Reinforced Elliptical Holes, with Applications to Pressure Cabin Windows

1959 ◽  
Vol 10 (4) ◽  
pp. 373-400 ◽  
Author(s):  
W. H. Wittrick
Keyword(s):  
Stress Distribution ◽  
Analytical Solution ◽  
Arbitrary Constant ◽  
Elliptical Hole ◽  
Stress System ◽  
Complex Variable Methods ◽  
Wide Range ◽  
Plane Sheet ◽  
Elliptical Holes ◽  
Different Shapes

An analytical solution, using complex variable methods, is given for the problem of the stress distribution due to an elliptical hole, reinforced around its boundary, in a plane sheet subjected at infinity either to an arbitrary constant stress system or to a bending type stress system. Numerical results were obtained for a wide range of parameters, including three different shapes of ellipse, and ten different amounts of reinforcement. Poisson's ratio was assumed to be 1/3.

A Study of the Stresses Around Elliptical Holes in Flat Plates

1971 ◽  
Vol 93 (2) ◽  
pp. 688-694 ◽  
Author(s):  
Norman Jones ◽  
Demosthenes Hozos
Keyword(s):  
Stress Distribution ◽  
Flat Plate ◽  
Experimental Work ◽  
Elastic Stress ◽  
Elliptical Hole ◽  
Finite Width ◽  
Flat Plates ◽  
Elliptical Holes

The theoretical elastic stress distribution is presented for a thin flat plate of finite width which contains an elliptical hole. Various uniaxial and biaxial in-plane loads are applied to the plate and the results are compared with some existing experimental work. The results of a series of photoelastic tests which were arranged to examine the interaction between the stresses around two neighboring elliptical holes in flat plates are also presented.

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