Evaluation of inverse boundary element techniques using experimental photoelastic measurements

  • Authors:

  • P. Wang;A. A. Becker;I. A. Jones;T. H. Hyde

  • Affiliations:

  • School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, United Kingdom;School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, United Kingdom;School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, United Kingdom;School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, United Kingdom

  • Venue:
  • ICECT'03 Proceedings of the third international conference on Engineering computational technology
  • Year:
  • 2002

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Abstract

Measurements from photoelastic specimens provide information regarding the differences of the principal stresses and their orientations at interior points. However, in many practical applications, it is often difficult to separate the individual Cartesian stress components from the photoelastic data. This paper presents a brief review of the theory of an inverse boundary element (BE) technique to reconstruct the boundary conditions in the unknown regions using photoelastic measurements at interior points together with some prescribed boundary conditions on other parts of the boundary. Once the boundary conditions in the unknown regions are recovered, the separate individual Cartesian stress components can be obtained using the conventional 'forward' BE method. An experimental evaluation of the inverse BE technique is presented using actual photoelastic images from two examples: a compressed circular disc and a more complex case study of the contact of spur gear teeth. The results demonstrate the reliability of the inverse BE method in practical photoelasticity problems where measurement errors can exist.