A THEORY OF CAUSTICS FOR MIXED-MODE FAST-RUNNING CRACKS (HIGHER-ORDERTHEORY)

Authors
NISHIOKA T MURAKAMI R OHISHI Y MAEDA N
Citation
T. Nishioka et al., A THEORY OF CAUSTICS FOR MIXED-MODE FAST-RUNNING CRACKS (HIGHER-ORDERTHEORY), JSME international journal. Series A, mechanics and material engineering, 37(1), 1994, pp. 22-30
Citations number
17
Categorie Soggetti
Engineering, Mechanical","Material Science
Journal title
JSME international journal. Series A, mechanics and material engineering → ACNP
ISSN journal
13408046
Volume
37
Issue
1
Year of publication
1994
Pages
22 - 30
Database
ISI
SICI code
1340-8046(1994)37:1<22:ATOCFM>2.0.ZU;2-W
Abstract
A higher-order theory of caustics for mixed-mode running cracks is dev eloped by using the general asymptotic solutions for a dynamically pro pagating crack tip. The analytical expressions are obtained for the Ja cobian equation that determines the initial curve, and for the image e quations on a screen. With the use of the higher-order coefficients de termined by the finite-element simulations of actual dynamic fracture experiments, the effects of the higher-order terms on the caustic curv e are investigated on the basis of the present theory. It was found th at the r1/2 stress field plays an important role in the formation of c austic patterns. A higher-order theory of caustics for stationary crac ks is also derived in this paper.