Von Mises Failure Criterion in Mechanics of Materials: How to Efficiently Use It Under Interval and Fuzzy Uncertainty

Authors

Gang Xiang
Andrzej Pownuk, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Scott A. Starks, The University of Texas at El PasoFollow

Publication Date

4-2007

Comments

Technical Report: UTEP-CS-07-24

Published in: Marek Reformat and Michael R. Berthold (eds.), Proceedings of the 26th International Conference of the North American Fuzzy Information Processing Society NAFIPS'2007, San Diego, California, June 24-27, 2007, pp. 570-575.

Abstract

One of the main objective of mechanics of materials is to predict when the material experiences fracture (fails), and to prevent this failure. With this objective in mind, it is desirable to use {it ductile} materials, i.e., materials which can sustain large deformations without failure. Von Mises criterion enables us to predict the failure of such ductile materials. To apply this criterion, we need to know the exact stresses applied at different directions. In practice, we only know these stresses with interval or fuzzy uncertainty. In this paper, we describe how we can apply this criterion under such uncertainty, and how to make this application computationally efficient.