On the Relation Between Stress and Strain-Concentration Factors in Notched Members in Plane Stress

1970 ◽  
Vol 37 (1) ◽  
pp. 77-84 ◽  
Author(s):  
C. V. Byre Gowda ◽  
T. H. Topper
Keyword(s):  
Plane Stress ◽  
Elastic Stress ◽  
Geometric Mean ◽  
Infinite Plate ◽  
Stress And Strain ◽  
Strain Concentration ◽  
Linear Elastic ◽  
Nonlinear Plane ◽  
Concentration Factors ◽  
The Relationship

The validity of the relationship between stress and strain-concentration factors proposed by Neuber, i.e., the geometric mean of the stress and strain-concentration factors is equal to the linear elastic-stress-concentration factor, is investigated for plane-stress problems. The physically nonlinear plane-stress problem of an infinite plate with a circular hole is solved by a perturbation method. Applicability of the solution and the restrictions on the relationship are discussed with reference to theoretical and experimental results.

Stress and Strain Concentrations in Perforated Structures Under Steady Creep Conditions

1980 ◽  
Vol 102 (4) ◽  
pp. 419-429 ◽  
Author(s):  
J. S. Porowski ◽  
W. J. O’Donnell ◽  
T. Tanaka ◽  
M. Badlani
Keyword(s):  
Creep Strain ◽  
Power Law ◽  
Plane Stress ◽  
Stress And Strain ◽  
Steady Creep ◽  
Strain Concentration ◽  
Local Stresses ◽  
Plane Stress Problem ◽  
Circular Holes ◽  
Concentration Factors

Steady creep solutions are obtained for perforated materials under various loading conditions. Norton’s creep power law is used and the plane stress problem is analyzed for both the triangular and square penetration patterns of circular holes. Maximum local stresses at the hole boundaries are obtained for calculating creep rupture damage. Local creep strain concentration factors are also obtained. The interrelations between the elastic, plastic and creep solutions are investigated.

Application of the Deformation Theory of Plasticity for Determining Elastoplastic Stress and Strain Concentration Factors

1976 ◽  
Vol 98 (4) ◽  
pp. 1152-1156 ◽  
Author(s):  
J. P. Eimermacher ◽  
I.-Chih Wang ◽  
M. L. Brown
Keyword(s):  
Deformation Theory ◽  
Analytical Data ◽  
Local Stress ◽  
Failure Criteria ◽  
Constitutive Law ◽  
Stress And Strain ◽  
Strain Concentration ◽  
Theory Of Plasticity ◽  
Concentration Factors ◽  
Von Mises

The deformation theory of plasticity is considered as a means for obtaining a solution to the problem of calculating stress and strain concentration factors at geometric discontinuities where the local stress state exceeds the yield strength of the material. Through the use of the Hencky-Nadai constitutive law and the Von Mises failure criteria, the elastoplastic element stiffness matrix is derived for a plane stress triangular plate element. An elastoplastic solution is arrived at by considering direct-iterative and finite element techniques. Verification of the analytical results is obtained by considering a numerical example and comparing the calculated results with published experimental and analytical data.

Stress and Strain Concentrations in an Elasto-Plastic Bar of Circular Cross-Section with Semicircular Groove

2012 ◽  
Vol 472-475 ◽  
pp. 1388-1391
Author(s):  
Jian Hou ◽  
Zheng Yang
Keyword(s):  
Finite Element Method ◽  
Cross Section ◽  
Concentration Factor ◽  
Elastic Stress ◽  
Circular Cross Section ◽  
Stress And Strain ◽  
The Finite Element Method ◽  
Strain Fields ◽  
Strain Concentration ◽  
Partial Region

The elastic stress and strain fields in an elasto-plastic circular cross-section bar with semicircular groove subjected to uniaxial tension are systematically investigated using the finite element method. It is found that the stress and strain concentrations are different, especially after the partial region near the groove root yielding. The coupled influences of the loading levels and Poisson’s ratios on the stress and strain concentrations are examined. The maximum of strain concentration factor is always at the groove root, but the maximum of stress concentration factor is at the groove root only while the loading levels are lower.

scholarly journals Stress and Strain Concentration Factors in Orthotropic Composites with Hole under Uniaxial Tension

2018 ◽  
Vol 5 (1) ◽  
pp. 213-231
Author(s):  
Samit Ray-Chaudhuri ◽  
Komal Chawla
Keyword(s):  
Uniaxial Tension ◽  
Fiber Orientation ◽  
Composite Plates ◽  
Systematic Investigation ◽  
Stress And Strain ◽  
Governing Parameter ◽  
Strain Concentration ◽  
Wide Range ◽  
Orthotropic Composites ◽  
Concentration Factors

Abstract A systematic investigation is carried out on how different parameters influence stress and strain concentration factors (SCF and SNCF) in a composite plate with a hole under uniaxial tension. Flat and singly curved composite plates have been modelled in ANSYS 15.0. The governing parameter includes: (i) size, shape and eccentricity of hole, (ii) number of plies, (v) fiber orientation and (vi) plate curvature. It is observed that different parameters influence the SCF and SNCF with varying degrees. For example, SCF may be as high as 7.16 for a square shaped hole. Also, SCF and SNCF are found to be approximately same in most of the cases. Finally, simplified design formulas are developed for evaluation of SCF for a wide range of hole size, eccentricity and fiber orientation.

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