Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Multicusp caustics formed from reflections of warped surfaces

Not Accessible

Your library or personal account may give you access

Abstract

The optical method of caustics developed mainly for studying singularities in stress fields was extended to define quantitatively the slope variation of warped surfaces. The existing theory was concerned with the study of infinitesimal but abrupt variations of thickness in elastic and plastic stress fields containing stress singularities due to either loading or geometry. In this paper the theory of caustics was extended to study the warping of any surface due mainly to twisting loads. While the caustics developed in previous uses were generalized epicycloid surfaces with or without a single cusp line, in the cases studied in this paper multicusp surfaces were developed. The quantitative interrelationship between the shape and size of the caustic and the respective mode of twisting of the surface was established, and interesting properties of these surfaces were disclosed. Applications to twisted elliptic, triangular, and square elastic bars clearly illustrate the importance of the method.

© 1988 Optical Society of America

Full Article  |  PDF Article
More Like This
Surface topography by caustics

P. S. Theocaris and E. E. Gdoutos
Appl. Opt. 15(6) 1629-1638 (1976)

Optical Stress Rosette Based on Caustics

P. S. Theocaris
Appl. Opt. 12(2) 380-387 (1973)

Some further properties of caustics useful in mechanical applications

P. S. Theocaris and D. Pazis
Appl. Opt. 20(23) 4009-4018 (1981)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (12)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (49)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved