Integrated photoelasticity for axisymmetric problems

A non-linear algorithm of photoelastic tomography for the measurement of axisymmetric stress fields has been elaborated. It is free of any assumptions concerning the value of the birefringence or rotation of the principal stress axes along the light rays. The algorithm is based on the measurement of characteristic directions and phase retardation in two parallel sections of the test object. Stress components are presented in the form of power series along the radial coordinate. A differential evolution algorithm has been used for finding the stress field parameters, which fit the measurement data best. Application of the method is illustrated by residual stress measurement in a drinking glass.

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“…Introducing expressions (16) into equations (19) and (20), stress components σ r and s q can be expressed as…”

Section: Expressions For Stressesmentioning

confidence: 99%

“…In this case the distribution of σ z is determined from equation (7) with Abel inversion [20]. In linear approximation, photoelastic tomography has been mainly used for residual stress measurement in axisymmetric glass articles [16,17].…”

Section: Photoelastic Tomography In Linear Approximationmentioning

confidence: 99%

A Non-linear Algorithm of Photoelastic Tomography for the Axisymmetric Problem

Aben

Errapart

2007

Exp Mech

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“…The first hybrid mechanics algorithm for complete determination of the axisymmetric stress field with photoelastic tomography was elaborated by Doyle and Danyluk [9,10]. We consider the same problem in a somewhat different way.…”

Section: Stresses Due To External Loadsmentioning

confidence: 99%

Photoelastic Tomography as Hybrid Mechanics

Aben¹,

Ainola²,

Errapart³

2011

Recent Advances in Mechanics

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Abstract. Photoelastic tomography is a non-destructive method of 3D stress analysis. It permits determination of normal stress distribution in an arbitrary section of a 3D test object. In case of axial symmetry also the shear stress distribution can be determined directly from the measurement data. To determine also the other stress components one can use equations of the theory of elasticity. Such a combined application of experimental measurements and numerical handling of the equations of the theory of elasticity is named hybrid mechanics. It is shown that if stresses are due to external loads, the hybrid mechanics algorithm is based on the equations of equilibrium and compatibility. In the case of the measurement of the residual stress in glass the compatibility equation can not be applied. In this case a new relationship of axisymmetric thermoelasticity, the generalized sum rule can be applied.

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“…The control of quality and durability of constructions requires nondestructive reconstruction of 3D stress tensor fields. One of commonly used methods for the reconstruction of stress tensor fields is based on a so-called 3D integrated photoelasticity [1,2]. This technique often demonstrates its efficiency while determining 3D stressed states in samples with high enough geometrical symmetry [2].…”

Section: Introductionmentioning

confidence: 99%

“…One of commonly used methods for the reconstruction of stress tensor fields is based on a so-called 3D integrated photoelasticity [1,2]. This technique often demonstrates its efficiency while determining 3D stressed states in samples with high enough geometrical symmetry [2]. However, it cannot be efficiently applied when analysing the models for the most generally stressed states.…”

Section: Introductionmentioning

confidence: 99%

Appearance of optical singularities at the light propagation through glasses with residual stresses

Krupych¹,

Vasylkiv²,

Kvasnyuk³

et al. 2012

Ukr. J. Phys. Opt.

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Abstract. We have shown that residual stresses existing in isotropic glass media lead to appearance of polarisation singularities of optical wave front. These singularities are characterised by the strength of topological defect equal to 1/ 2  and should lead to the appearance of optical vortices with the topological charge 1  . Annealing of the samples has led to annihilation of the polarisation singularities, homogenisation of spatial distribution of the phase difference and zeroing of the latter, thus suggesting disappearance of the residual stresses. The role of the singularities revealed in solving the known problem of 3D stress tensor field reconstruction is discussed.

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Integrated photoelasticity for axisymmetric problems

Cited by 48 publications

References 5 publications

A Non-linear Algorithm of Photoelastic Tomography for the Axisymmetric Problem

A Non-linear Algorithm of Photoelastic Tomography for the Axisymmetric Problem

Photoelastic Tomography as Hybrid Mechanics

Appearance of optical singularities at the light propagation through glasses with residual stresses

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