Abstract: Mode I fracture of plate specimens with sharp V-shaped notches is studied analytically and numerically. Within computations, elastic-perfectly plastic constitutive behaviour is assumed. The crack initiation from the tip of the V-shaped notch is described with the help of a modified Leonov–Panasyuk–Dugdale model using an additional parameter, namely, the diameter of the plasticity zone. Under small-scale yielding conditions in the presence of a singularity of the stress field in the vicinity of the V-shaped notch tip, a coupled fracture criterion is proposed. A strain-based fracture criterion is formulated at the real notch tip, and a force-based criterion operating with averaged normal stresses is considered at the fictitious crack tip. The diagrams of quasi-brittle fracture of specimens from structured material are constructed. The propagation of the plastic zone in the notched plates under quasi-static loading is simulated numerically. The plastic zone size in the vicinity of the V-shaped notch tip is assessed; in the limiting case, the V-notch degenerates into an edge crack. The generalized stress intensity factor for a crack growing from a sharp V-shaped notch is obtained by the finite element method. It is shown that under small-scale yielding, the analytical predictions of the critical load agree with the numerical results for a wide range of opening angles.

Cite: Kurguzov V.D. , Shutov A.V.
Elasto-plastic fracture criterion for structural components with sharp V-shaped notches
International Journal of Fracture. 2021. V.228. N2. P.179-197. DOI: 10.1007/s10704-021-00530-1 WOS Scopus РИНЦ OpenAlex

Identifiers:

Web of science:	WOS:000632737800001
Scopus:	2-s2.0-85103273246
Elibrary:	46766638
OpenAlex:	W3137169246

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Scopus	8
OpenAlex	7
Elibrary	9
Web of science	7

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