Comparative Analysis by the Displacement-Discontinuity Method of Two Energy Criteria of Fracture

Abstract

This paper discusses the applicability of the displacement-discontinuity technique to crack propagation analysis for plane strain conditions. Results derived from the maximum strain-energy release-rate hypothesis are compared to those obtained with the critical strain-energy-density-factor theory. It is shown that for tensile stress fields both theories give similar results but that they differ for compressive stress fields. Experimental results are more in support of the maximum strain-energy release-rate model.

Fracture growth-I. Formulation and implementations

“…inequality: the normal displacement of a pair of generic points must be less than or equal to the gap between them. On the basis of this formulation, the displacement discontinuity scheme (Crouch 1976) has been used to calculate G for various orientations of a fracture extension (Cornet 1979;Zlotnicki & Cornet 1986;De Bremaecker & Wei 1994). However, Signorini's inequality is a linear approximation of the non-interpenetration constraint (Kikuchi & Oden 1988, p. 23).…”

A three‐dimensional hydraulic fracturing simulator

“…where I, and 1, are the lengths of element sides 1-3 and 1 2, respectively; (11 Clowd-form solrrtions for the integrals (18) have been foundz6 for all combinations of p-. q, t, s and F(L,).…”

“…In these integrals, y , is normal to the plane of the element, and the two-dimensional co-ordinahe system Clowd-form solrrtions for the integrals (18) have been foundz6 for all combinations of p-. q, t, s and F(L,).…”

Étude du comportement élastique et fragile des roches saturées par un liquide

“…Dans le cas général u0 et 1 (x, u0) dépendent de ϴ et la porosité de surface se déduit de la porosité linéaire par la relation : (6) Dans le cas d'une porosité isotrope 1 (x, u0) est indépendant de l'angle 0 et par conséquent :…”