Abstract
Two major difficulties in the currfent computer-aided photoelastic analysis, namely automatic determination of principal stress direction and of fringe order over the whole area of specimen, were successfully overcome with single-valued representative functions for principal stress direction with the diagonal summation theorem and for fringe order with the concept of trans-versality of intersection in Catastrophe Theory. Utilizing a structure-driven type image processing, not only the stress trajectories but also the stress distribution on an arbitrarily designated axis are successfully calculated on the basis of theories of differential geometry and ordinary differential equations, respectively. A new system developed in this study is useful for two dimensional analysis as well as for the stress-frozen technique in three dimensional analysis, in which the isochromatics and the isoclinics are inevitably superimposed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Patterson, E.A., Automated photoelastic analysis, Strain, 1988, 24, 15–20.
Takashi, M., Toyoda, Y., Mawatari, S., Hanai,K. and Shimasaki, K., Structure driven processing for image understanding and its application to photoelastic analysis. Proc. of 6th Int. Cong, on Exp. Mech., Soc. for Exp. Mech.,. USA 1988, pp. 189–194.
Mawatari, S., Takashi, M. and Toyoda, Y., A generalization method for assignment of isochromatic fringe order using structure driven-type image processing. Trans, of JSME, 1989, 55A, pp 598–607 (in Japanese).
Mawatari, S., Takashi, M., Toyoda, Y., A simplified algorithm for determining knots for smoothing with spline functions. Denshi jouhou tuushin gakkai ronbunshi, 1989, J72-D-II,18-6-1823(In Japanese).
Lawson, JR., H. B., Foliations, Bull. Amer. Math. Soc. 1974, 80, 369–418.
Poston,T. and Stewart, J., Catastrophe theory and its applications, Pitman, London, 1978, pp. 143–150.
Mawatari, S., Takashi, M., Toyoda, Y., Differentiable structure of a representative function for experimental data and treatment of errors due to noise Trans of JSME 1989 56A, (to be published in Japanese).
Mawatari, S., Takashi, M, and Toyoda, Y., Whole-area photoelastic analysis by image processing on the principal stress direction and separation of isochromatics from isoclinics, Trans, of JSME 1989, 55A, pp l423–1428 (in Japanese).
Mawatari, S. Takashi, M., Toyoda, Y. and Kunio, T., A single-valued representative function for determination of principal stress direction in photoelastic analysis. In Proc. 9th Int. Conf. on Exp. Mech., Copenhagen Denmark, 1990.
Poston,T. and Stewart, J., Catastrophe theory and its applications, Pitman, London, 1978, pp. 66–72.
Mawatari, S., Takashi, M., Toyoda, Y., Automatic assignment of isochromatic fringe order using a single-valued function in plane photoelasticity. Trans, of JSME 1990, 56A, 902–908 (in Japanese).
Mawatari, S., Takashi, M., Toyoda and Kunio, T., A new method of Computer-aided fringe order determination of isochromatics in two dimensional photoelasticity. In Proc. of 9th Int. Conf. on Exp. Mech, Copenhagen, Denmark, 1990.
Mawatari, S., Shimasaki, K., Hanai, K., Takashi, M. and Toyoda Y., Effective input, display and storage of fringe pattern data using a microcomputer. Proc. of Jpn. Soc. Photoelasticity, 1989, 9, pp l5–22 (in Japanese).
Mawatari, S., Takashi, M. and Toyoda, Y., Computer definition of photoelastic fringes using spline smoothing method. Proc. of Jpn. Soc. Photoelasticity, 1989, 9, 23–29 (in Japanese).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Elsevier Science Publishers Ltd
About this chapter
Cite this chapter
Takashi, M., Mawatari, S., Toyoda, Y., Kunio, T. (1990). A New Computer-Aided System for Photoelastic Stress Analysis with Structure-Driven Type Image Processing. In: Hyde, T.H., Ollerton, E. (eds) Applied Stress Analysis. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0779-9_49
Download citation
DOI: https://doi.org/10.1007/978-94-009-0779-9_49
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6837-6
Online ISBN: 978-94-009-0779-9
eBook Packages: Springer Book Archive