Stress distribution in a two-dimensional infinite anisotropic medium with collinear cracks

1985 ◽  
Vol 15 (2) ◽  
pp. 193-214 ◽  
Author(s):  
K. S. Parihar ◽  
S. Sowdamini
Keyword(s):  
Stress Distribution ◽  
Anisotropic Medium ◽  
Two Dimensional ◽  
Collinear Cracks

STUDY ON ANCHORAGE ZONE STRESS DISTRIBUTION OF THE POST-TENSIONED PRESTRESSED CONCRETE MEMBERS : Part I: Two-Dimensional Investigations

1957 ◽  
Vol 55 (0) ◽  
pp. 43-51
Author(s):  
Shizuo Ban ◽  
Hiroshi Muguruma ◽  
Zen-ichi Ogaki ◽  
Teruo Terasawa
Keyword(s):  
Stress Distribution ◽  
Prestressed Concrete ◽  
Two Dimensional ◽  
Concrete Members ◽  
Post Tensioned

The Departure from Equilibrium of Turbulent Boundary Layers

1968 ◽  
Vol 19 (1) ◽  
pp. 1-19 ◽  
Author(s):  
H. McDonald
Keyword(s):  
Boundary Layer ◽  
Shear Stress ◽  
Kinetic Energy ◽  
Stress Distribution ◽  
Boundary Layers ◽  
Turbulent Boundary Layers ◽  
Two Dimensional ◽  
Pressure Distributions ◽  
Momentum Integral ◽  
State Examination

SummaryRecently two authors, Nash and Goldberg, have suggested, intuitively, that the rate at which the shear stress distribution in an incompressible, two-dimensional, turbulent boundary layer would return to its equilibrium value is directly proportional to the extent of the departure from the equilibrium state. Examination of the behaviour of the integral properties of the boundary layer supports this hypothesis. In the present paper a relationship similar to the suggestion of Nash and Goldberg is derived from the local balance of the kinetic energy of the turbulence. Coupling this simple derived relationship to the boundary layer momentum and moment-of-momentum integral equations results in quite accurate predictions of the behaviour of non-equilibrium turbulent boundary layers in arbitrary adverse (given) pressure distributions.

A Mixed Boundary-Value Problem of Elasticity With Parabolic Boundary

1957 ◽  
Vol 24 (1) ◽  
pp. 122-124
Author(s):  
Gunadhar Paria
Keyword(s):  
Stress Distribution ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Complex Variable ◽  
Hilbert Problem ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Two Dimensional ◽  
Mixed Boundary Value Problem ◽  
Parabolic Boundary

Abstract The problem of finding the stress distribution in a two-dimensional elastic body with parabolic boundary, subject to mixed boundary conditions, has been reduced to the solution of the nonhomogeneous Hilbert problem following the method of complex variable. The result has been compared with that for a straight boundary.

Electric and heat conduction across an elliptic cavity in an anisotropic medium

2019 ◽  
Vol 24 (10) ◽  
pp. 3279-3294 ◽  
Author(s):  
Kunkun Xie ◽  
Haopeng Song ◽  
Cunfa Gao
Keyword(s):  
Heat Conduction ◽  
Anisotropic Medium ◽  
Crack Surface ◽  
Two Dimensional ◽  
Intensity Factors ◽  
Elliptical Cavity ◽  
Loading Direction ◽  
Elliptic Cavity ◽  
Field Intensity Factors ◽  
Potential Gradients

It is well known that the anisotropy of materials will significantly affect heat conduction, and the corresponding results have been applied to the thermal analysis of materials. An elliptic cavity in a nonlinearly coupled anisotropic medium, on the other hand, is much more difficult to analyze. Based on the complex variable method, the problem of a two-dimensional elliptical cavity in an anisotropic material is analyzed in this paper, and the field distributions have been obtained in closed-form. The field intensity factors are discussed in detail. The results show that both the temperature and electric potential gradients at a crack tip are always perpendicular to the crack surface, regardless of the anisotropy and the nonlinearity in the constitutive equations and the arbitrariness of loading direction. These results provide a powerful tool to analyze the effective behavior and reliability of anisotropic materials with cavities.

Photoelasticity and Aircraft Design

1951 ◽  
Vol 3 (3) ◽  
pp. 161-172 ◽  
Author(s):  
H.T. Jessop ◽  
C. Snell
Keyword(s):  
Stress Distribution ◽  
Aircraft Design ◽  
Two Dimensional ◽  
Laboratory Technique ◽  
Fringe Patterns ◽  
Practicable Method

It is now more than 25 years since Coker and Filon first developed photoelasticity as a practicable method of exploring the stress distribution in certain types of engineering components. All engineers must be familiar with the striking photographs of fringe patterns obtained by their method in stressed plates of various shapes viewed in a polariscope. In those early days observations were made on Xylonite models and the method was only applicable to components in which stress distribution was of a two-dimensional type. Moreover, with the apparatus then available investigations were somewhat difficult and many engineers at that time were very distrustful of the results obtained from what was, to them, a little understood laboratory technique.

A Simplified Method for Calculating Crack Opening Area

2002 ◽  
Author(s):  
E. Smith
Keyword(s):  
Plastic Deformation ◽  
Stress Distribution ◽  
Crack Opening ◽  
Two Dimensional ◽  
Simple Method ◽  
Tensile Stresses ◽  
Normal Operating ◽  
General Stress ◽  
Simplified Method ◽  
Leak Before Break

In the context of the formulation of a leak-before-break case for a component in a pressurized system, this paper is concerned with the quantification of the crack opening area associated with a two-dimensional crack that is subjected to tensile stresses. We present a simple method, based on the strip yield representation of plastic deformation, for calculating the area. The method is validated against the known result for the ease of an isolated crack in a uniformly stressed infinite solid. It is then used for a general stress distribution, as might arise from a combination of pressure induced and weld residual tensile stresses, with the considerations being focussed on the case where plastic deformation is limited, as is usually appropriate for normal operating situations; application of the method is then especially simple.

Elastic Stresses in Layered Snow Packs

1972 ◽  
Vol 11 (63) ◽  
pp. 407-414 ◽  
Author(s):  
F. W. Smith
Keyword(s):  
Finite Element ◽  
Stress Distribution ◽  
Computer Program ◽  
Elastic Stress ◽  
Two Dimensional ◽  
Strength Data ◽  
Elastic Stresses ◽  
Stress Levels ◽  
Dimensional Finite Element

Abstract A two-dimensional finite element computer program has been used to compute the elastic stress distribution in realistic multi-layered snow packs. Computations have been done on three-layered and five-layered snow packs intended to simulate conditions on the Lift Gully at Berthoud Pass, Colorado. Calculations have been performed to determine the effect of a layer of new snow and the effect of a weak sub-layer. Stress levels were obtained which are reasonable compared with available snow strength data.

Stress Distribution Around Edge Slits in a Plate Loaded in Tension —the Effect of Finite Width of Plate

1962 ◽  
Vol 66 (617) ◽  
pp. 320-322 ◽  
Author(s):  
J. R. Dixon
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Flat Plate ◽  
Elastic Stress ◽  
Width Ratio ◽  
Finite Width ◽  
Two Dimensional ◽  
Finite Plate ◽  
Edge Slit ◽  
Plate Width

SummaryTwo-dimensional photoelastic tests have been carried out on uni-axially loaded flat-plate specimens with two collinear edge slits, to investigate the effect of finite plate width on the elastic stress distribution. It was found that the effect of slitlength/ plate-width ratio on the elastic stress concentration at the end of the edge slit of length l was virtually the same as that for a central slit of length 2l in a plate of the same width, and could be adequately expressed by existing theories.

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