𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bifurcation predictions for moving cracks by theT-criterion

✍ Scribed by P. S. Theocaris; H. G. Georgiadis


Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
532 KB
Volume
29
Category
Article
ISSN
1573-2673

No coin nor oath required. For personal study only.

✦ Synopsis


The directional instability of moving cracks was studied within the context of the maximum dilatational energy density, or T-criterion. To make bifurcation predictions according to the T-criterion theory it suffices to consider only the singular stress field. In this paper the stress field for a non-uniformly propagating crack under mode-I deformation was adopted. Predictions concerning both the critical crack velocity and the bifurcation angle was given. In this way, not only totally brittle fractures described previously by the S-criterion were correctly encountered, but also the results were extended to initially ductile materials where the T-criterion conserves its total efficiency.


πŸ“œ SIMILAR VOLUMES


Dynamic crack-bifurcation by the Det.-cr
✍ G.A. Papadopoulos πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 498 KB

Dynamic crack-branching was studied according to Det.-criterion of fracture. In this paper the stress field for a non-uniformly propagating crack under mode I deformation was adopted. Predictions concerning both the critical crack velocity and the bifurcation angle was given. According to Det-criter

The nt-criterion for predicting crack gr
✍ Nabil A.B. Yehia; Mark S. Shephard πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 755 KB

A new approach is presented to determine the crack propagation increment after the direction of crack propagation has been predicted. The maximum dilatational strain energy density (NT-criterion) is employed in the derivation for predicting both direction and increment of the propagating crack. The

The β€œtwin-crack” model and the T-criteri
✍ P.S. Theocaris; N.P. Andrianopoulos; S.K. Kourkoulis πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 907 KB

The phenomenon of directional instability of running cracks is studied by means of a "twincrack" model. The running single crack tip is simulated by a cloud of microcracks under the form of hackles with random lengths and orientations, which, finally, are reduced into a flat front with two dominant

A bifurcation criterion for predicting w
✍ C.J. Bayley; A.K. Pilkey πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 465 KB

A methodology is proposed to evaluate the influence of weld-line surface roughness on the failure of AA5754 tailor-welded blanks (TWBs) loaded in plane-strain tension with major strains oriented along the weld-line. Failure is predicted when a band of elements within the finite element model satisfi

A stability criterion for nonlinear osci
✍ Hiroyuki Amano; Teruhisa Kumano; Toshio Inoue; Haruhito Taniguchi πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 261 KB πŸ‘ 1 views

## Abstract A stability criterion for nonlinear oscillations in power systems is proposed. It consists of calculation of a limit cycle by application of Hopf bifurcation theory and nonlinear transformation of the coordinates using invariant manifolds. The proposed method is verified in a single‐mac