Determination of the stress state of bodies with flaws by the method of holographic photoelasticity

Ostsemin, A. A.; Deniskin, S. A.; Sitnikov, L. L.; Maksimov, S. B.; Zagrebalov, A. A.

doi:10.1007/bf00770138

Cited by 8 publications

(8 citation statements)

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“…The factors a 1 and b 1 were determined from the minimum condition for the standard deviation of their values obtained using experimental and theoretical fringes. The procedure [12] reduced the error of stress measurements from 26 to 12% at the same accuracy of processing of fringe patterns. It is more convenient to process APD patterns along the axis of the crack-like defect (the largest number of fringes) for θ = 0 and θ = 0.…”

Section: Stress Intensity Factors In the Case Of An Inclined Crack-limentioning

confidence: 98%

“…The polarization angle is reckoned from the vertical axis. In [12], a description is given of a calibrating procedure for photoelastic materials that increases the accuracy of determining the constants a 1 and b 1 by using all interference fringes observed and eliminating the interpolation operation in determining fringe numbers. The factors a 1 and b 1 were determined from the minimum condition for the standard deviation of their values obtained using experimental and theoretical fringes.…”

Section: Stress Intensity Factors In the Case Of An Inclined Crack-limentioning

confidence: 99%

“…Here a 1 = 0.625 fringe/MPa and b 1 = 0.453 fringe/MPa are optical constants of the ED-20MPGFA material determined in a calibration experiment [12]. The polarization angle is reckoned from the vertical axis.…”

Section: Stress Intensity Factors In the Case Of An Inclined Crack-limentioning

confidence: 99%

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Stress state in the vicinity of an inclined elliptical defect and stress intensity factors for biaxial loading of a plate

Ostsemin

Utkin

2009

J Appl Mech Tech Phy

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The problem of determining the stress state of a plate with an inclined elliptical notch under biaxial loading is considered. The Kolosov-Muskhelishvili method is used to obtain an expression for the stress near the vertex of an inclined ellipse, whose particular case are expressions for the stress in the case of an inclined crack. The stress intensity factors K I and K II were determined experimentally by holographic interferometry in the case of extension of a plate with an inclined crack-like defect. The calculation results are compared with experimental data.Key words: fracture mechanics, stress intensity factors, Kolosov-Muskhelishvili method, stress state, plate with an inclined elliptical notch, holographic interferometry.Introduction. The fracture stress criteria can be classified as simple and complex. The simple criteria take into account only the singular stress component and are expressed in terms of stress intensity factors (SIFs). The complex criteria are obtained by a refined analysis of the stress state (SS) near the tip a crack-like defect and take into account the regular stress component [1]. In the case of slant cracks, a defect is modeled by an elliptical notch. The most widely used and best validated approach is the one in which the SS characteristics should be determined not at the crack tip but at a certain distance r 0 from it [1,2]. Holographic interferometric studies [3] using complex criteria of the limiting equilibrium of an inclined crack [1] have provided experimental data which are in better agreement with the results of theoretical studies [1]. The error was 4.7%. Eftis and Subramonian [1] obtained a more exact expression for the Westergaard function contained in the singular solution for an inclined crack in a plate under biaxial loading [1]. This approximate two-component solution is fairly exact. Theocaris and Michopoulos [2] obtained an exact solution of the problem for the stress tensor in a plane with an inclined crack under biaxial loading using expressions for the complex potentials Φ(z) and Ω(z) [4].The relative error of the sum σ 1 + σ 2 and the difference σ 1 − σ 2 in the principal stresses obtained using both methods was determined in [2]. The effect of the biaxial loading ε on the stress tensor components σ x , σ y , and τ xy and the maximum shear stress τ max has been studied using the Kolosov-Muskhelishvili method [4]. Theocaris and Spyropoulos [5] presented isochromatic patterns and gave a review of photoelasticity methods for a plate with an inclined crack. In the present paper, the results [2] for a plate with an elliptical notch are extended to the biaxial loading of the plate. Expressions for the stress tensor components are obtained, the effect of the ellipse parameter m for the biaxial loading of a plate with an inclined elliptical notch is studied, and experimental data obtained using holographic interferometry are given.Methods of fracture mechanics allow one to determine the fracture resistance of metal welded joints in the presence of cracks. However, a f...

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Section: Stress Intensity Factors In the Case Of An Inclined Crack-limentioning

confidence: 98%

Section: Stress Intensity Factors In the Case Of An Inclined Crack-limentioning

confidence: 99%

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Stress state in the vicinity of an inclined elliptical defect and stress intensity factors for biaxial loading of a plate

Ostsemin

Utkin

2009

J Appl Mech Tech Phy

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“…Using formulas (10) and (12), an expression was obtained for the rigidity of the stress state σ 1 /σ i , which at low temperatures is an important characteristic of brittle fracture of welded structures with technological defects. The rigidity of the stressed state of elliptical defects with different radii of curvature in welds was analyzed in [8].…”

Section: Stress Intensity In the Case Of An Inclined Elliptical Hole mentioning

confidence: 99%

“…Formula (12) can be used to determine the zones of plastic deformation at the tip of the ellipse as functions of the angle of inclination of the ellipse β, the biaxial loading parameter ε, tensile stress σ, and the ellipse parameter m.…”

Section: Stress Intensity In the Case Of An Inclined Elliptical Hole mentioning

confidence: 99%

Stress-strain state of an inclined elliptical defect in a plate under biaxial loading

Ostsemin¹,

Utkin

2012

J Appl Mech Tech Phy

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A mathematical model for the stress-strain state of a plate with an inclined elliptical defect under biaxial loading is considered. Exact formulas for stresses in polar coordinates, displacements, principal stresses, maximum shear stress, and stress intensity in the case of a plane stress state of the plate were obtained by the Kolosov-Muskhelishvili method. Simulation results are compared with experimental data obtained by holographic interferometry.

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Determination of stress intensity factor for a specimen tested by a bending-tension scheme

Ostsemin¹,

Deniskin²,

Sitnikov³

et al. 1984

Strength Mater

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Determination of the stress state of bodies with flaws by the method of holographic photoelasticity

Cited by 8 publications

References 1 publication

Stress state in the vicinity of an inclined elliptical defect and stress intensity factors for biaxial loading of a plate

Stress state in the vicinity of an inclined elliptical defect and stress intensity factors for biaxial loading of a plate

Stress-strain state of an inclined elliptical defect in a plate under biaxial loading

Determination of stress intensity factor for a specimen tested by a bending-tension scheme

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