scholarly journals Discussion: “Three-Dimensional Solution for Stress Concentration Around a Circular Hole in a Plate of Arbitrary Thickness” (Sternberg, E., and Sadowsky, M. A., 1949, ASME J. Appl. Mech., 16, pp. 27–38)

1950 ◽  
Vol 17 (1) ◽  
pp. 106-107
Author(s):  
M. M. Frocht
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Three Dimensional ◽  
Dimensional Solution ◽  
Arbitrary Thickness

Three-Dimensional Solution for the Stress Concentration Around a Circular Hole in a Plate of Arbitrary Thickness

1949 ◽  
Vol 16 (1) ◽  
pp. 27-38
Author(s):  
E. Sternberg ◽  
M. A. Sadowsky
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Ritz Method ◽  
Three Dimensional ◽  
Infinite Plate ◽  
Theory Of Elasticity ◽  
Two Dimensional ◽  
Dimensional Solution ◽  
Uniform State ◽  
Arbitrary Thickness

Abstract This paper contains an approximate three-dimensional solution for the stress distribution around a circular cylindrical hole in an infinite plate of arbitrary thickness, which is otherwise in a uniform state of plane stress parallel to the bounding planes. The approach used rests on a modification of the Ritz method in the theory of elasticity. A knowledge of the triaxial characteristics of the ensuing stress concentration is held important in connection with modern views on failure. The results furthermore illuminate critically the significance of two-dimensional analysis in problems of the type under consideration.

Simple formulae for the stress concentration factor for two- and three-dimensional holes in finite domains

2002 ◽  
Vol 37 (3) ◽  
pp. 259-264 ◽  
Author(s):  
Q. Z Wang
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Spherical Cavity ◽  
Three Dimensional ◽  
Finite Domain ◽  
Three Dimensional Models ◽  
Finite Domains ◽  
Asymptotic Validity

First, based on an approximate analysis, simple closed-form expressions of the stress concentration factor (SCF) for two- or three-dimensional models with a circular hole or a spherical cavity in a finite domain are derived. Then, an asymptotic method is adopted to improve the accuracy of the derived solutions for an extremely large circular hole or spherical cavity, when the remaining ligament approaches zero. Exact limit SCF values for these two kinds of models were given by Koiter; these values are used for the adjustment of the coefficients in the SCF expressions. Finally, simple SCF formulae for these finite domain problems are obtained, their accuracy is demonstrated to be very good by comparison with the available data from the literature, and the asymptotic validity is guaranteed.

scholarly journals Three-Dimensional Stress Concentration Factor in Finite Width Plates with a Circular Hole

2013 ◽  
Vol 03 (03) ◽  
pp. 153-159 ◽  
Author(s):  
Murilo Augusto Vaz ◽  
Julio Cesar Ramalho Cyrino ◽  
Gilson Gomes da Silva
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Three Dimensional ◽  
Finite Width

Effect of Thickness on the Stresses in a Plate With an Elliptic Hole

1977 ◽  
Vol 99 (2) ◽  
pp. 401-403 ◽  
Author(s):  
M. N. Bapu Rao
Keyword(s):  
Circular Hole ◽  
Thick Plate ◽  
Maximum Stress ◽  
Semimajor Axis ◽  
Plate Thickness ◽  
Elliptic Hole ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Dimensional Solution ◽  
Uniform Tension

A three-dimensional analysis is presented for the stresses around an elliptic hole in an infinitely long thick plate subjected to uniform tension and shear. The maximum stress is found to depend on the ratio of plate thickness to the length of the semimajor axis of the hole, as well as on Poisson’s ratio. In the limiting cases the solution reduces to that of the circular-hole problem and the two-dimensional solution of the elliptic-hole problem.

scholarly journals STRESS CONCENTRATION IN ISOTROPIC & ORTHOTROPIC COMPOSITE PLATES WITH CENTER CIRCULAR HOLE SUBJECTED TO TRANSVERSE STATIC LOADING

2014 ◽  
pp. 16-20
Author(s):  
MOON BANERJEE ◽  
N. K. JAIN ◽  
S. SANYAL
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Static Loading ◽  
Maximum Stress ◽  
Three Dimensional ◽  
Composite Plates ◽  
Graphical Form ◽  
Orthotropic Composite ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element

The present study brings out the thorough analysis of isotropic and orthotropic fixed rectangular plate with center circular hole under transverse static loading condition. In this paper influence of stress concentration and deflection due to singularity for isotropic and orthotropic composite materials under different parametric conditions is obtained. The effect of thickness -to- width of plate (T/A) and diameter-to-width (D/A) ratio upon stress concentration factor (SCF) for different stresses were studied. An isotropic and one composite material were considered for analysis to determine the variation of SCF with elastic constants. Deflection in transverse direction were calculated and analyzed. Results are presented in graphical form and discussed. Three-dimensional finite element models were created using ANSYS software. Results showed that maximum stress appear near the vicinity of the hole at the upper and lower portions of the plate. The effect of material properties, (E1/E2) on SCF for stresses along x, y and z axis is established thorough this analysis.

Sign in / Sign up

Export Citation Format

Share Document