Stress Concentration Due to Elliptical Holes in Orthotropic Plates

1954 ◽  
Vol 21 (1) ◽  
pp. 42-44
Author(s):  
H. D. Conway
Keyword(s):  
Stress Concentration ◽  
Plane Stress ◽  
Minor Axis ◽  
Orthotropic Plates ◽  
Simple Manner ◽  
Uniform Tension ◽  
Elliptical Holes ◽  
Concentration Factors ◽  
Concentrated Forces ◽  
Stress Concentration Factors

Abstract Two plane stress problems of elliptical holes in infinite orthotropic sheets are treated: (a) Hole loaded by a pair of concentrated forces acting at the ends of the major or minor axis, and (b) hole in plate which is subjected to uniform tension. The solutions are obtained in a simple manner by transformation from corresponding problems in which the holes are circular. Closed-form expressions are obtained for the stress-concentration factors.

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.

Howland’s isotropic Kts curve for plates with circular holes as a master curve for Kts in orthotropic plates with elliptical holes

2017 ◽  
Vol 52 (3) ◽  
pp. 152-161 ◽  
Author(s):  
Nando Troyani ◽  
Milagros Sánchez
Keyword(s):  
Stress Concentration ◽  
Master Curve ◽  
Orthotropic Materials ◽  
Finite Width ◽  
Rectangular Plates ◽  
Analysis And Design ◽  
Circular Holes ◽  
Elliptical Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

The importance of the role played by the so-called stress concentration factors (or symbolically referred to as Kts) in analysis and design in both mechanical and structural engineering is a well-established fact, and accuracy and ease in their estimation result in significant aspects related to engineering costs, and additionally on both the reliability in the design of parts and/or in the analysis of failed members. In this work, rectangular finite width plates of both isotropic and orthotropic materials with circular and elliptical holes are considered. Based on two key observations reported herein, it is shown in a partially heuristic engineering sense, that Howland’s solution curve for the stress concentration factors for finite width plates with circular holes subjected to tension can be viewed as a master curve; accordingly, it can be used as a basis to rather accurately estimate stress concentration factors for isotropic finite width tension rectangular plates with centered elliptical holes and also rather accurately used to estimate stress concentration factors for orthotropic finite width rectangular plates under tension with centered elliptical holes. Two novel concepts are defined and presented to this effect: geometric scaling and material scaling. In all the examined and reported cases, the specific numerical results can be obtained accurately using a hand-held calculator making virtually unnecessary the need to program and/or use other complex programs based on the finite element method, just as an example. The maximum recorded average error for all the considered cases being 2.62% as shown herein.

Stress concentration factors around the intersection of two cylindrical holes in an infinite elastic body

1977 ◽  
Vol 12 (3) ◽  
pp. 217-222 ◽  
Author(s):  
C J Hooke ◽  
G Demunshi
Keyword(s):  
Approximate Solution ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Elastic Body ◽  
The Body ◽  
Isotropic Elastic Body ◽  
Uniform Tension ◽  
Cylindrical Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

The paper presents an approximate solution for the stress distribution around two cylindrical holes intersecting at right angles in an infinite homogeneous, isotropic, elastic body, when the body is subjected to uniform tension at an infinite distance from the holes. Stress concentration factors for a range of ratios of the hole radii are presented, both for the case when the two holes are infinitely long and for when the smaller hole is semi-infinite.

Strains and stress-concentration factors in plates under out-of-phase biaxial cyclic loads

1973 ◽  
Vol 8 (2) ◽  
pp. 90-98 ◽  
Author(s):  
V C Saxena ◽  
K E Machin
Keyword(s):  
Stress Concentration ◽  
Theoretical Analysis ◽  
Infinite Plate ◽  
Cyclic Stress ◽  
Cyclic Loads ◽  
Test Results ◽  
Elliptical Holes ◽  
Concentration Factors ◽  
Geometrical Discontinuity ◽  
Stress Concentration Factors

An elastic theoretical analysis for the strains in an infinite plate and the stress-concentration factors for small elliptical holes in an infinite plate, under sinusoidally varying alternating out-of-phase biaxial loads, is presented. The experiments were performed to substantiate a theoretical analysis for circular and elliptical holes by means of a specially designed and built ‘biaxial cyclic stress machine’. For biaxial alternating stresses, the stress-concentration factor is defined as the ratio of the amplitude of the maximum alternating stress around the geometrical discontinuity to the larger of the amplitudes of the two principal alternating stresses which would occur at the same point if the geometrical discontinuity were not present. Both values are considered over a stress cycle. The results of the theoretical analysis are presented in the form of curves which show the effect of phase differences between stresses and strains upon stress ratio and cyclic stress-concentration factors. The test results of the experiments are also summarized in the form of the curves. Since the experiments were performed on a finite plate compared to an infinite plate considered for theoretical analysis, the experimental curves do not coincide with the theoretical curves. But in general the experimental curves follow the same trends as the theoretical curves. Fatigue implications of out-of-phase biaxial cyclic loads are discussed.

The Effect of Adhesive Layers on the Fracture of Laminated Structures

1978 ◽  
Vol 100 (1) ◽  
pp. 2-9 ◽  
Author(s):  
M. R. Gecit ◽  
F. Erdogan
Keyword(s):  
Stress Intensity ◽  
Stress Concentration ◽  
Plane Stress ◽  
Crack Problem ◽  
Adhesive Layer ◽  
Elastic Continuum ◽  
Adhesive Layers ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Laminated Structures

In this paper the effect of the thickness and the elastic properties of the adhesive layers in laminated structures is considered. The structure is assumed to consist of two sets of periodically arranged dissimilar layers which may contain cracks perpendicular to the interfaces. The crack problem is solved under the assumption of plane strain or generalized plane stress and by using two different models for the adhesive layers. In the first model the adhesive layer is approximated by a combination of tensile and shear springs. In the second the adhesive layer is considered to be an elastic continuum, hence involving no approximating assumptions. The results regarding the stress intensity and stress concentration factors obtained from these two models and that found by ignoring the adhesive layers are presented and some comparisons are made.

Stress concentration factors of edge-notched orthotropic plates

1998 ◽  
Vol 33 (5) ◽  
pp. 395-398 ◽  
Author(s):  
C R Chiang
Keyword(s):  
Stress Concentration ◽  
Material Properties ◽  
Shape Factor ◽  
Isotropic Material ◽  
Simple Formula ◽  
Orthotropic Plate ◽  
Orthotropic Plates ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Material Factor

For an edge-notched semi-infinite orthotropic plate, the stress concentration factor has been shown to be 1 + FmFs, where Fm and Fs are material factor and shape factor respectively. Since Fs is independent of material properties, a simple formula for Fs is proposed by interpolating two theoretical values of the isotropic material. The accuracy of the formula is assured by finding that its predictions are in excellent agreement with available solutions. An example of the computation of the stress concentration factors of edge-notched orthotropic plates is presented to illustrate its simplicity and accuracy.

Theoretical stress concentration factors for short flat tension bars with opposite U-shaped notches

2005 ◽  
Vol 40 (4) ◽  
pp. 345-355 ◽  
Author(s):  
C J Gomes ◽  
N Troyani ◽  
C Morillo ◽  
S Gregory ◽  
V Gerardo ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Stress Concentration ◽  
Graphical Form ◽  
Uniform Thickness ◽  
Uniform Tension ◽  
Extended Range ◽  
Transition Length ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Theoretical Stress

The values of the theoretical stress concentration factors for a number of geometries and loads are available in well-known publications. It is shown here that the reported existing results for the geometry treated herein do not account for the effect of the length of the members in the direction of the applied loads, and it is also shown that shorter lengths may have important effects on the magnitudes of the stress concentration factors, a concept widely used in fatigue applications. The finite-element-determined in-plane theoretical stress concentration factors for short rectangular uniform thickness plates, with opposite U-shaped notches, subjected to uniform tension, for the existing range of the notch radii values as well as for an extended range of these values are reported and are presented in the standard graphical form. Other types of boundary condition have been examined as well in this work with various influences on the stated factor. The transition length concept, the dividing threshold between long and short plates is revised, and the corresponding values are reported as well.

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