On the Problem of Equilibrium Length of a Bridged Crack

1997 ◽  
Vol 64 (2) ◽  
pp. 427-430 ◽  
Author(s):  
N. Morozov ◽  
M. Paukshto ◽  
N. Ponikarov

A solution is given for a partially bridged straight crack in orthotropic elastic material in particular unidirectionally fiber-reinforced brittle composite. The problem of crack with constant bridging forces is solved by use the complex potentials. By use of Novogilov’s fracture criterion the estimation of the bridged part of crack and full length of equilibrium crack is obtained.

Meccanica ◽  
2021 ◽  
Author(s):  
A. Sapora ◽  
G. Efremidis ◽  
P. Cornetti

AbstractTwo nonlocal approaches are applied to the borehole geometry, herein simply modelled as a circular hole in an infinite elastic medium, subjected to remote biaxial loading and/or internal pressure. The former approach lies within the framework of Gradient Elasticity (GE). Its characteristic is nonlocal in the elastic material behaviour and local in the failure criterion, hence simply related to the stress concentration factor. The latter approach is the Finite Fracture Mechanics (FFM), a well-consolidated model within the framework of brittle fracture. Its characteristic is local in the elastic material behaviour and non-local in the fracture criterion, since crack onset occurs when two (stress and energy) conditions in front of the stress concentration point are simultaneously met. Although the two approaches have a completely different origin, they present some similarities, both involving a characteristic length. Notably, they lead to almost identical critical load predictions as far as the two internal lengths are properly related. A comparison with experimental data available in the literature is also provided.


1972 ◽  
Vol 39 (2) ◽  
pp. 597-598 ◽  
Author(s):  
A. Bedford ◽  
H. J. Sutherland ◽  
R. Lingle

1979 ◽  
Vol 46 (4) ◽  
pp. 839-843 ◽  
Author(s):  
M. Kurashige

Following the derivation of the relations of incremental stresses and strains for an idealized fiber-reinforced isotropic elastic material, the instability problem stated in the title is analyzed on the basis of Biot’s mechanics of incremental deformations. The analysis indicates that the slab reinforced by fibers along the direction of its thickness under axial loads becomes unstable in a manner different from the case of an unreinforced slab. In the course of the analysis the material was specified as the so-called Blatz-Ko rubber, solid and foam. It was found that the slab of solid rubber buckled only under compression, while that of foam rubber became unstable under tension as well as under compression. There exist two types of buckling for foam rubber under tension: a shear buckling and an internal buckling. However, the latter does not manifest itself physically since the former always occurs first.


1977 ◽  
Vol 7 (6) ◽  
pp. 731-742 ◽  
Author(s):  
Sidney Mindess ◽  
Frederick V. Lawrence ◽  
Clyde E. Kesler

2018 ◽  
Vol 144 ◽  
pp. 02009 ◽  
Author(s):  
R. Nikhil ◽  
S. Shivakumar ◽  
Kallol Anupama ◽  
Shettar Manjunath

In the present paper the primary task is the study involving calculation of elastic properties of the composite from the individual properties of the E-glass fiber (650 GSM) and the properties of resin LY 556 with Hardener HY951. The properties of varying volumetric ratio of fiber are obtained from calculation of the properties by using rule of mixtures. Experimentally validating the theoretical and numerical approaches by comparing the load-displacement response and crack paths observed in large scale bridged crack propagation in laminated fiber-reinforced composites specimens. An effort is being made to develop a numerical framework for cohesive crack propagation and demonstrating its effectiveness by simulating failure through crack propagation in materials with complex microstructure like fiber reinforced composites. Experimentally validating the theoretical and numerical approaches by comparing the load-displacement response and crack paths observed in large scale bridged crack propagation in laminated fiber-reinforced composites specimens.


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