Photoelastic Investigation of a Thick Plate With a Transverse Crack

1975 ◽  
Vol 42 (1) ◽  
pp. 9-14 ◽  
Author(s):  
G. Villarreal ◽  
G. C. Sih ◽  
R. J. Hartranft
Keyword(s):  
Plane Stress ◽  
Thick Plate ◽  
Three Dimensional ◽  
Stress Variation ◽  
Thick Plates ◽  
Stress Components ◽  
Photoelastic Investigation ◽  
Photoelastic Analysis ◽  
Moderately Thick Plates ◽  
Transverse Variation

The purpose of this investigation was to experimentally test one of the assumptions of a recent modified version of the theory of generalized plane stress. The form postulated by the theory for the stress variation through the thickness of a plate containing a crack will be compared with that obtained by three-dimensional photoelastic analysis. Specimens covering the range from thin to moderately thick plates were examined by the frozen stress technique. The experimentally measured transverse variation of the in-plane stress components σx and σy was in excellent agreement with that postulated by the theory.

Three-dimensional photoelastic analysis in axially loaded thick plate with hole

1973 ◽  
Vol 8 (3) ◽  
pp. 220-227 ◽  
Author(s):  
N A Rubayi ◽  
V Yadava
Keyword(s):  
Circular Hole ◽  
Thick Plate ◽  
Maximum Stress ◽  
Three Dimensional ◽  
Tensile Loading ◽  
Stress Concentrations ◽  
Precise Location ◽  
Stress Variation ◽  
Photoelastic Analysis ◽  
Different Thickness

In this study three-dimensional photoelasticity is used to analyse the stress variation through different layers of a thick plate containing a circular hole and subjected to uniform tensile loading. The effect of the thickness/diameter ratios on the stress concentrations with thickness is investigated. The experimental results are correlated with the existing three-dimensional theoretical solutions. The data establish, both experimentally and theoretically, the precise location of the maximum-stress layers in plates having different thickness/diameter ratios and thus resolves the discrepancies which existed in previous studies.

Three-dimensional photoelastic analysis of pile caps

1996 ◽  
Vol 31 (1) ◽  
pp. 35-42
Author(s):  
P Krishna Iyer ◽  
C Sam
Keyword(s):  
Shear Stress ◽  
Stress Distribution ◽  
Three Dimensional ◽  
Pile Spacing ◽  
Stress Components ◽  
Photoelastic Investigation ◽  
Pile Caps ◽  
Photoelastic Analysis ◽  
The Individual ◽  
Significant Bearing

This paper presents a three-dimensional photoelastic investigation of two- and four-pile caps for different depth—pile spacing ratios. For the analysis, the pile caps were idealized as rectangular blocks subjected to patches of loading at the column and pile locations. The individual stress components, their maximum values and locations were determined. Graphs showing the variations of important normal and shear stress components across depth, non-dimensionalized with the applied column stress, were given. On the basis of the results obtained it is concluded that the factors which are not hitherto considered in the design of pile caps have a significant bearing on the stress distribution.

Thermal Stresses in Moderately Thick Elastic Plates

1959 ◽  
Vol 26 (3) ◽  
pp. 432-436
Author(s):  
B. E. Gatewood
Keyword(s):  
Temperature Gradient ◽  
Plane Stress ◽  
Thermal Stresses ◽  
Plate Thickness ◽  
Three Dimensional ◽  
Elastic Plates ◽  
Plate Length ◽  
Moderately Thick Plates ◽  
Thick Elastic Plates ◽  
Thickness Variable

Abstract The three-dimensional stresses in the plate are investigated without using the plane-stress or plane-strain assumptions, the thickness of the plate being limited so that the normal stress in the thickness direction can be taken as a polynomial in the thickness variable. The temperature is taken as a polynomial in the thickness variable but with relatively large, though restricted, gradients with respect to the co-ordinates of the plane of the plate. For the case of the temperature constant in thickness variable, the stresses in the plane of the plate are presented as the plane-stress solution plus correcting terms due to the plate thickness, where the correcting terms involve the product of the temperature gradient and the ratio of the plate thickness to the plate length in the direction of the temperature gradient. In many cases the corrections are small even for moderately thick plates.

Two-Dimensional Stress and Inertia Combinations

1957 ◽  
Vol 61 (557) ◽  
pp. 353-354
Author(s):  
D. E. R. Godfrey
Keyword(s):  
Plane Stress ◽  
Two Dimensional ◽  
Stress Theory ◽  
Stress Components ◽  
Established Fact ◽  
Photoelastic Analysis ◽  
Image Position

A Similarity in properties will be demonstrated between the moments and product of inertia of a lamina and the components of plane stress. It is now a well established fact that in two-dimensional stress theory it is advantageous to use certain combinationsof the stress components.1First, it will be shown that the use of similar combinations of the moments and product of inertia leads to a useful graphical means of obtaining these quantities for awkwardly placed axes and also to some results not normally to be found in the text-books. Secondly, an application to photoelastic analysis is also made.

The Photoelastic Analysis of Transverse Bending of Plates in the Standard Transmission Polariscope

1942 ◽  
Vol 9 (4) ◽  
pp. A161-A164
Author(s):  
D. C. Drucker
Keyword(s):  
Thick Plate ◽  
Three Dimensional ◽  
Similar Material ◽  
Photoelastic Method ◽  
Initial Tension ◽  
Transverse Bending ◽  
Photoelastic Analysis ◽  
Concentration Factors ◽  
Usual Theory ◽  
Stress Concentration Factors

Abstract In this paper the ideas of three-dimensional photo-elasticity are applied to the analysis of plates under transverse bending, resulting in a simple photoelastic method, employing the standard two-dimensional transmission polariscope. The procedure used is to “freeze” a fairly high initial tension in bakelite or similar material, cut out the model at some angle to the direction of the tension, bend, and observe. Results of various tests are given; photographs of two cases, the circular hole and the semicircular notch, are included. Stress-concentration factors are also obtained and analyzed. The problem of the thick plate as contrasted with the thin plate, assumed in the usual theory, is discussed briefly.

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.

scholarly journals Three-Dimensional Vibration Analysis of Rectangular Thick Plates on Pasternak Foundation with Arbitrary Boundary Conditions

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Huimin Liu ◽  
Fanming Liu ◽  
Xin Jing ◽  
Zhenpeng Wang ◽  
Linlin Xia
Keyword(s):  
Boundary Conditions ◽  
Admissible Function ◽  
Three Dimensional ◽  
Future Research ◽  
Pasternak Foundation ◽  
Arbitrary Boundary ◽  
Thick Plates ◽  
Arbitrary Boundary Conditions ◽  
Ritz Procedure ◽  
Three Dimensional Elasticity

This paper presents the first known vibration characteristic of rectangular thick plates on Pasternak foundation with arbitrary boundary conditions on the basis of the three-dimensional elasticity theory. The arbitrary boundary conditions are obtained by laying out three types of linear springs on all edges. The modified Fourier series are chosen as the basis functions of the admissible function of the thick plates to eliminate all the relevant discontinuities of the displacements and their derivatives at the edges. The exact solution is obtained based on the Rayleigh–Ritz procedure by the energy functions of the thick plate. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the influence of the foundation coefficients as well as the boundary restraint parameters is also analyzed, which can serve as the benchmark data for the future research technique.

Sign in / Sign up

Export Citation Format

Share Document