Numerical solution of plane elastostatic problems by point matching

1968 ◽  
Vol 3 (2) ◽  
pp. 109-114 ◽  
Author(s):  
C J Hooke
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Numerical Solution ◽  
Point Matching ◽  
Matching Technique ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Plane Elastic Problems

A description of the point-matching technique and of its application to the solution of plane elastic problems is presented. The technique is then used to evaluate the stress distribution in a number of plane elastic problems, and the accuracy of the point-matching technique is assessed by comparing the results obtained with those obtained by other methods. Finally, the technique is used to calculate the stress-concentration factors for a bar, with two symmetrically placed U-shaped notches, loaded in tension.

Calculation of stress-concentration factors for grooved shafts in bending using the point-matching technique

1973 ◽  
Vol 8 (2) ◽  
pp. 113-118 ◽  
Author(s):  
G J Matthews ◽  
C J Hooke
Keyword(s):  
Stress Concentration ◽  
Numerical Technique ◽  
Pure Bending ◽  
Point Matching ◽  
Matching Technique ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Stress Concentration Effect ◽  
Axisymmetric Bodies ◽  
Good Agreement

A general numerical technique is presented for the solution of the problem of elastic bending of axisymmetric bodies. Results obtained by this method are compared with existing results for grooved and shouldered shafts in pure bending and good agreement is obtained in each case. Additional results are presented for the stress-concentration effect of flat-bottomed circumferential grooves in cylindrical shafts for which no experimental or analytical results are available.

The Influence of the Path of Corner Gussets Weld Seam over the Stress Concentration Factors of the Tubular T Joints

2015 ◽  
Vol 1111 ◽  
pp. 67-72
Author(s):  
Gabriel Dima ◽  
Ion Balcu
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Dynamic Behaviour ◽  
Weld Seam ◽  
Fe Model ◽  
Weight Saving ◽  
Different Types ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Model Approach

The joints of the tubular welded structures are stiffened with gussets in order to decrease the stress concentration factors and to increase the rigidity. The experience from field concluded that the tangent placed gussets bring the biggest improvement to the fatigue and dynamic behaviour as well as the weight saving of joints. The path of the weld seam influences the stress distribution in the joint members, gusset and in the weld itself. The paper proposes different types of weld ending path to investigate the changes in the stress distribution in all components of the joint. Using the FE analysis, the stress concentration factors were determined in three load cases. Both the numerical and preliminary experimental results indicated different joint behaviours according to the loading type. An assessment of the proposed weld paths was done, together with FE model approach and design recommendations.

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.

Neuber’s rule accounting for the material nonlinearity influence on the stress concentration of the laminated composites

2016 ◽  
Vol 36 (3) ◽  
pp. 214-225 ◽  
Author(s):  
Fathollah Taheri-Behrooz ◽  
Nima Bakhshi
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Material Nonlinearity ◽  
Maximum Deviation ◽  
Linear Solution ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Neuber's Rule

Since holes comprise the necessary features of many structural components, a comprehensive understanding of the behavior of composite plates containing an open hole is a crucial step in their design process. In the present manuscript, an extensive numerical study has been conducted in order to investigate the effects of material nonlinearity on the stress distribution and stress concentration factors in unidirectional and laminated composite materials. To attain this objective, various models with different configurations were studied. In unidirectional composites, the maximum deviation of stress distribution around the hole (from the linear solution) happens in 45° lamina in which includes a high level of shear stress. However, the maximum difference in the stress concentration factor occurs in 15° lamina and is 15.1% at the onset of failure. In composite laminates, the maximum deviation of nonlinear stress concentration factor from the linear solution is reported 24.3% and it occurs in [+45/−45] s laminate. In the last section, Neuber’s rule is employed to find the stress concentration factors of the laminated composites, with a reasonable accuracy.

scholarly journals Effect of Cosserats' couple-stresses on the stress distribution in a semi-infinite medium with varying modulus of elasticity

1966 ◽  
Vol 6 (2) ◽  
pp. 157-171 ◽  
Author(s):  
Gunadhar Paria
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Elastic Property ◽  
Exponential Type ◽  
Modulus Of Elasticity ◽  
Infinite Medium ◽  
Couple Stresses ◽  
Cartesian System ◽  
Concentration Factors ◽  
Stress Concentration Factors

SummaryThe theory of Cosserats' couple-stresses is briefly described in a cartesian system of coordinates, and is applied to the problem of stress distribution in a semi-infinite medium which possesses a non-homogeneous elastic property of an exponential type. Effects of couple-stresses on the stress concentration factors are determined both in homogeneous and non-homogeneous materials.

Numerical solution of axisymmetric-stress problems by point matching

1970 ◽  
Vol 5 (1) ◽  
pp. 25-37 ◽  
Author(s):  
C J Hooke
Keyword(s):  
Stress Distribution ◽  
Computer Programme ◽  
Body Of Revolution ◽  
Axisymmetric Stress ◽  
Point Matching ◽  
Wide Range ◽  
Matching Technique ◽  
Plane Elastic Problems ◽  
General Computer ◽  
Good Agreement

In a previous paper the author described the application of the point-matching technique to the solution of plane elastic problems. It was shown that it is possible to produce a single computer programme capable of analysing a wide range of such problems. The technique is extended in this paper to the case of an axisymmetrically loaded elastic body of revolution. The details of the technique are necessarily more complicated in the present instance but it has proved possible to develop a general computer programme for this type of problem. The application of the method is illustrated for a number of problems for which approximate or experimental results are available. Good agreement between these results and the point-matched stress distribution is obtained in every case.

Stress and Strength Analysis of Equal-Diameter Tees

1991 ◽  
Vol 113 (1) ◽  
pp. 55-63 ◽  
Author(s):  
J. Zhixiang ◽  
Z. Qingjiang ◽  
Z. Siding
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Maximum Stress ◽  
Elastic Stress ◽  
Stress Factors ◽  
Strength Analysis ◽  
Stress Distributions ◽  
Concentration Factors ◽  
Stress Concentration Factors

The elastic stress distribution of four models (β=Do/Di=1.07, 1.20, unreinforced and weld-reinforced) under five typical external loadings and the strength of six models (in addition to β=1.50) under internal pressure are investigated experimentally. The maximum stress factors are obtained. The influences of weld-reinforced structure on stress distribution and strength characteristics of tees are discussed. The finite-element predictions of unreinforced tees with β=1.07, 1.11, 1.15, 1.20 are carried out. The predicted stress distributions agree well with measured results. The relation between β and stress concentration factors under various loadings are obtained.

The Stress Distribution in a Strip Loaded in Tension by Means of a Central Pin

1956 ◽  
Vol 23 (1) ◽  
pp. 85-90
Author(s):  
P. S. Theocaris
Keyword(s):  
Exact Solution ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Approximation Method ◽  
Infinite Length ◽  
Stress Distributions ◽  
Axial Hole ◽  
Optimum Diameter ◽  
Concentration Factors ◽  
Stress Concentration Factors

Abstract It is the purpose of this paper to give an exact solution for the stress distribution resulting from loading a perforated strip in tension through a rigid pin filling the hole. The strip is regarded as of an infinite length and having a single axial hole. Stress distributions are found by an alternating approximation method and the stresses are tabulated in the form of stress-concentration factors for different values of diameter of the hole. The influence of size of the hole on the stress concentration in the strip is investigated and the optimum diameter of the hole is evaluated.

Elastic stress concentration factors in finite plates under tensile loads

1966 ◽  
Vol 1 (4) ◽  
pp. 306-312 ◽  
Author(s):  
S M Ibrahim ◽  
H McCallion
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Numerical Solutions ◽  
Elastic Stress ◽  
Governing Equations ◽  
Uniaxial Load ◽  
Circular Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

New results for stress concentration factors at notches, fillets and circular holes in plates under uniaxial load are presented. These stress concentration factors have been obtained from numerical solutions of the governing equations for elastic stress distribution and are compared with experimental and theoretical factors published by other workers. The generality of the method used is indicated in the solutions obtained for finite plates with a number of holes and for a plate with a hole and notches.

Stress distribution in a tension specimen notched on one edge

1969 ◽  
Vol 4 (1) ◽  
pp. 27-31 ◽  
Author(s):  
J R Dixon ◽  
J S Strannigan ◽  
J McGregor
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Notch Depth ◽  
Tension Specimen ◽  
Single Crack ◽  
Specimen Width ◽  
Concentration Factors ◽  
Stress Concentration Factors

The stress distribution in a tension specimen notched on one edge was obtained photoelastically for several ratios of notch depth to specimen width. The stress-concentration factors agreed well with corresponding values derived from Neuber's theory of notch stresses. It was also shown that the stress-intensity factor for a tension specimen with a single crack on one edge, obtained by the collocation method, agreed well with that deduced from Neuber's theory.

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