Development of new inverse boundary element techniques in photoelasticity

Chen, D; Becker, A.A.; Jones, I.A.; Hyde, T H; Wang, P

doi:10.1243/0309324011514449

Cited by 15 publications

(13 citation statements)

References 14 publications

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“…And the other two methods are also impracticable due to their different measurement theories. On the other hand, several hybrid methods of photoelasticity and numerical analysis [20][21][22], and inverse analysis methods have also been proposed for the stress separation. Berghaus [20] provides a hybrid method with photoelasticity and Finite-element combined, from which displacements along free surfaces and axes of symmetry are obtained from photoelasticity and then perform the finite element method to get stress components.…”

Section: Introductionmentioning

confidence: 99%

Numerical-experimental hybrid method for stress separation in digital gradient sensing method

Zhang

Guo

2015

Optics and Lasers in Engineering

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Section: Introductionmentioning

confidence: 99%

Numerical-experimental hybrid method for stress separation in digital gradient sensing method

Zhang

Guo

2015

Optics and Lasers in Engineering

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“…The different elements of this system have been described in a number of papers. In particular, the optical approach is described in reference [6], while the inverse boundary element approach is introduced in reference [25] and further developed in reference [26]. The complete system is briefly summarized in references [27] and [28].…”

Section: Introductionmentioning

confidence: 99%

Constrained least-squares solution and regularization in inverse boundary element analysis of photoelastic models involving contact

Jones

Wang

Becker

2011

The Journal of Strain Analysis for Engineering Design

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Existing work by the present team has involved the development of an inverse boundary element approach for fitting unknown boundary conditions to full-field stress data obtained using photoelasticity, treating the displacements on the unknown region as the solution variables. However, the recovered boundary conditions sometimes show unrealistic features such as negative contact pressures or shear tractions which exceed realistic frictional values; noisy or incomplete input data make these problems worse and can make the results oscillatory. The work described here exploits available constrained least-squares techniques in order to express the contact conditions as linear inequality constraints upon the displacement solution. A variant of Tikhonov regularization is also used to penalize against oscillatory traction distributions on the unknown boundary. The chosen implementation, solved using the LSSOL algorithm, can handle the issue of rigid-body motion without the need for manual imposition of restraints. The technique is illustrated using simulated and real examples, demonstrating that the technique correctly reconstructs the individual principal stresses.

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“…1 Recently, the results of the birefringence measurement are also utilized as input data for inverse or hybrid stress analysis. [2][3][4] As is well known, the birefringence parameters, that is, the angle of the principal axis and the phase retardation, can be measured by various techniques. 5,6 Among them, the phasestepping method [5][6][7][8][9][10][11][12] is one of the most important and widely accepted techniques, because this technique is a simple and precise method of converting photoelastic fringes into phase maps.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous observation of phase-stepped photoelastic fringes using a pixelated microretarder array

Yoneyama

2006

Opt. Eng

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An instantaneous phase stepping and subsequent phase analysis method, using a charge-coupled device ͑CCD͒ camera with a pixelated form-birefringent microretarder array, is proposed for 2-D birefringence distribution measurement. A birefringent sample placed behind a polarizer and a quarter-wave plate is analyzed by the proposed method. Light emerging from the sample is recorded using a CCD camera that has a pixelated microretarder array on the CCD plane. This microretarder array has four different principal directions. That is, an image obtained by the CCD camera contains four data corresponding to four different optical axes of the retarder. The four images separated from the image recorded by the CCD camera are reconstructed using gray-level interpolation. Then, the distributions of the Stokes parameters that represent the state of polarization are calculated from the four images. The birefringence parameters, that is, the angle of the principal axis and the phase retardation, are then obtained from these Stokes parameters. This method is applicable to real-time inspection of optical elements as well as the study of the mechanics of time-dependent materials, because multiple exposures are unnecessary for sufficient data acquisition in the completion of data analysis.

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Development of new inverse boundary element techniques in photoelasticity

Cited by 15 publications

References 14 publications

Numerical-experimental hybrid method for stress separation in digital gradient sensing method

Numerical-experimental hybrid method for stress separation in digital gradient sensing method

Constrained least-squares solution and regularization in inverse boundary element analysis of photoelastic models involving contact

Simultaneous observation of phase-stepped photoelastic fringes using a pixelated microretarder array

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