Discussion: “Stress Concentration Around an Ellipsoidal Cavity in an Infinite Body Under Arbitrary Plane Stress Perpendicular to the Axis of Revolution of Cavity” (Sadowsky, M. A., and Sternberg, E., 1947, ASME J. Appl. Mech., 14, pp. A191–A201)

1948 ◽  
Vol 15 (1) ◽  
pp. 88
Author(s):  
R. E. Peterson
Keyword(s):  
Stress Concentration ◽  
Plane Stress ◽  
Infinite Body ◽  
Ellipsoidal Cavity ◽  
Arbitrary Plane

Stress Concentration Around an Ellipsoidal Cavity in an Infinite Body Under Arbitrary Plane Stress Perpendicular to the Axis of Revolution of Cavity

1947 ◽  
Vol 14 (3) ◽  
pp. A191-A201 ◽  
Author(s):  
M. A. Sadowsky ◽  
E. Sternberg
Keyword(s):  
Stress Concentration ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
Infinite Body ◽  
Plane State ◽  
Ellipsoidal Cavity ◽  
State Of Stress ◽  
Ellipsoid Of Revolution ◽  
Arbitrary Plane ◽  
Uniform Plane

Abstract This paper contains an exact closed solution for the stress distribution around a cavity in the shape of an ellipsoid of revolution in an infinite elastic body which is otherwise in an arbitrary uniform plane state of stress perpendicular to the axis of revolution of the cavity. The solution is based upon an extension to orthogonal curvilinear co-ordinates of the classical three-function approach to three-dimensional problems of the theory of elasticity. The technically important features of the ensuing stress concentration are discussed in detail.

Stress Analysis of Holes in Thick Plates

2004 ◽  
Vol 1-2 ◽  
pp. 153-158 ◽  
Author(s):  
S. Quinn ◽  
Janice M. Dulieu-Barton
Keyword(s):  
Stress Concentration ◽  
Stress Analysis ◽  
Uniaxial Tension ◽  
Plane Stress ◽  
Plate Surface ◽  
Flat Plates ◽  
Thick Plates ◽  
Concentration Factors ◽  
Stress Concentration Factors

A review of the Stress Concentration Factors (SCFs) obtained from normal and oblique holes in thick flat plates loaded in uniaxial tension has been conducted. The review focuses on values from the plate surface and discusses the ramifications of making a plane stress assumption.

Axisymmetric Plane Stress Problems in Anisotropic Plasticity

1969 ◽  
Vol 36 (1) ◽  
pp. 7-14 ◽  
Author(s):  
Wei Hsuin Yang
Keyword(s):  
Stress Concentration ◽  
Strain Hardening ◽  
Plane Stress ◽  
Analytic Solutions ◽  
Anisotropic Plasticity ◽  
Stress Plane ◽  
Method Of Solution ◽  
Degree Of Anisotropy ◽  
Concentration Factors ◽  
Stress Concentration Factors

Based on an established theory of anisotropic plasticity, a class of axisymmetric plane stress problems is solved for sheet metals which harden according to a power law and are isotropic in their plane. A new method of solution, the stress plane method, is used. The analytic solutions for the problems considered are obtained in the stress plane. The stress-concentration factors introduced by a hole or a rigid inclusion at the center of an infinite sheet are obtained for arbitrary degree of anisotropy and strain-hardening characteristics. The influence of anisotropy and strain-hardening on the deep-drawing problem is also studied. The results show that the type of anisotropy and strain-hardening assumed always influences the stress concentration and drawability in a favorable way.

A circular disc containing a radial edge crack opened by a constant internal pressure

1977 ◽  
Vol 81 (3) ◽  
pp. 497-521 ◽  
Author(s):  
R. D. Gregory
Keyword(s):  
Stress Concentration ◽  
Stress Field ◽  
Internal Pressure ◽  
Plane Stress ◽  
Edge Crack ◽  
Strain Energy ◽  
Circular Disc ◽  
Total Strain Energy ◽  
Significant Figures ◽  
Image Position

AbstractA circular disc of radius a, made of homogeneous, isotropic, linearly elastic material, contains a radial edge crack of length b(0 < b < 2a). The disc is in equilibrium in a state of generalized plane stress caused by loading the faces of the crack by a constant internal pressure. The problem of determining the resulting stress field throughout the disc is solved analytically in closed form. The principal results are that the stress concentration factor at the crack tip, the total strain energy W, and the opening U at the mouth of the crack, are given exactly bywhere A is a constant whose value correct to 6 significant figures isand , W0, U0 are normalising factors defined in section 6.

Three-Dimensional Elastic Stress Fields of Finite Thickness Plates with Elliptical Hole

2007 ◽  
Vol 353-358 ◽  
pp. 74-77
Author(s):  
Zheng Yang ◽  
Chong Du Cho ◽  
Ting Ya Su ◽  
Chang Boo Kim ◽  
Hyeon Gyu Beom
Keyword(s):  
Stress Concentration ◽  
Plane Strain ◽  
Plane Stress ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Maximum Stress ◽  
Elastic Stress ◽  
Finite Thickness ◽  
Plate Thickness ◽  
Three Dimensional

Based on detailed three-dimensional finite element analyses, elastic stress and strain field of ellipse major axis end in plates with different thickness and ellipse configurations subjected to uniaxial tension have been investigated. The plate thickness and ellipse configuration have obvious effects on the stress concentration factor, which is higher in finite thickness plates than in plane stress and plane strain cases. The out-of-plane stress constraint factor tends the maximum on the mid-plane and approaches to zero on the free plane. Stress concentration factors distribute ununiformly through the plate thickness, the value and location of maximum stress concentration factor depend on the plate thickness and the ellipse configurations. Both stress concentration factor in the middle plane and the maximum stress concentration factor are greater than that under plane stress or plane strain states, so it is unsafe to suppose a tensioned plate with finite thickness as one undergone plane stress or plane strain. For the sharper notch, the influence of three-dimensional stress state on the SCF must be considered.

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