Body-force stress fields defined by caustic rosettes

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:07:06Z
dc.date.available	2014-03-01T01:07:06Z
dc.date.issued	1988	en
dc.identifier.issn	03743535	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9788
dc.subject	Mechanical Property	en
dc.subject	Perforation	en
dc.subject	Stress Field	en
dc.subject.other	MECHANICS - Continuous Media	en
dc.subject.other	STRESSES	en
dc.subject.other	BODY-FORCE STRESS FIELDS	en
dc.subject.other	CAUSTIC ROSETTES	en
dc.subject.other	ELASTIC FIELDS	en
dc.subject.other	METHOD OF REFLECTED CAUSTICS	en
dc.subject.other	TWO-TERM MUSKHELISHVILI COMPLEX STRESS FUNCTION	en
dc.subject.other	ELASTICITY	en
dc.title	Body-force stress fields defined by caustic rosettes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00040891	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00040891	en
heal.publicationDate	1988	en
heal.abstract	The method of reflected caustics was extended to the study of elastic fields due to body forces. It was shown that gage perforations create caustics under the influence of body forces which are different in shape and size than those developed in usual cases. The elastic solution of a perforated strip under the influence of an external load p and body forces qy was developed by defining a two-term Muskhelishvili complex stress function φ{symbol}(z). The equations of the caustics and their initial curves were established. It was shown that as the body force intensity, q, was increased relative to the external loading, p, the classical two-lobe caustic for perforated strips without body forces evoluted to an open curve and, for a further increase of q, to a three-lobe caustic. As the body force to external force ratio was increased this third lobe was rapidly increased, relative to the two principal lobes, whereas the position of the center of the caustic was displaced along the loading axis. The maximum diameters Dt of the caustics along the loading axis of the plate yield enough information for evaluating the body force intensity, if the mechanical properties of the material and the geometry of the optical set-up are known. © 1988 Kluwer Academic Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Journal of Elasticity	en
dc.identifier.doi	10.1007/BF00040891	en
dc.identifier.volume	19	en
dc.identifier.issue	2	en
dc.identifier.spage	163	en
dc.identifier.epage	178	en