Determination of the effect of residual curing stresses on an interface crack by means of the weight function method

1997 ◽  
Vol 19 (6) ◽  
pp. 507-510 ◽  
Author(s):  
L. Banks-Sills ◽  
D. Ashkenazi ◽  
R. Eliasi
Keyword(s):  
Weight Function ◽  
Interface Crack ◽  
Function Method ◽  
Weight Function Method

Weight Function Analysis of Interface Cracks: Mismatch Versus Oscillation

1991 ◽  
Vol 58 (4) ◽  
pp. 931-938 ◽  
Author(s):  
Huajian Gao
Keyword(s):  
Weight Function ◽  
Interface Crack ◽  
Function Method ◽  
Function Analysis ◽  
Dissimilar Materials ◽  
Global Scale ◽  
Oscillatory Behavior ◽  
Intensity Factors ◽  
Fundamental Understanding

This paper has two goals. First, it is aimed at providing a fundamental understanding of the oscillatory behavior of an interface crack between two dissimilar materials from the viewpoint of the interface mismatch that results from the cracking. Second, we extend the Bueckner-Rice weight function method to facilitate the interface crack analysis. Using properties of the surface Green’s functions of a homogeneous solid and solutions obtained from weight function formulae, a mismatch analysis is carried out which indicates that the local mismatch near the crack tip results in the oscillatory near-tip field while the mismatch on the global scale leads to the corresponding stress intensity factors. For an oscillatory interface crack field, it is shown that, other than a few extra material constants, the interface weight function analysis is completely parallel to the well-developed homogeneous theory so that knowledge of one crack solution for a given bimaterial geometry is sufficient for determination of solutions under any other loading conditions.

Determination of Stress Intensity Factor for Cracked Brazilian Disc Using Weight Function

2013 ◽  
Vol 577-578 ◽  
pp. 285-288
Author(s):  
Yan Hua Zhao ◽  
Jin Liu ◽  
Hong Bo Gao ◽  
Huan An He ◽  
Tao Zhang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Weight Function ◽  
Numerical Method ◽  
Function Method ◽  
Weight Function Method ◽  
Brazilian Disc ◽  
Distributed Pressure

To reduce stress concentration near the loading point, Brazilian test, normally used for the indirect determination of tensile strength for rock or concrete quasi-brittle materials, is usually subjected to uniformly distributed pressure over finite width (or arc) of the Brazilian disc. As an extension, the same geometry, in which a central notch is introduced in the symmetrical plane of applied forces, can be used to determine fracture toughness of the materials. For this purpose, accurate expression for stress intensity factor (SIF) for central cracked Brazilian disc should be provided first. To this end, weight function method is used in this paper where weight function for central cracked disc is available in general SIF handbooks. Meanwhile, the exact stress solution in the intact Brazilian disc subjected to uniformly distributed pressure is derived by use of numerical method. In the end, some finite element analysis is carried out using the program package ABAQUS on the Brazilian disc, and the comparison results regarding the SIF between the weight function method and numerical method prove the validity of the proposed method.

Determination of Residual Fracture Toughness of Post-Fire Concrete

2013 ◽  
Vol 712-715 ◽  
pp. 1062-1066
Author(s):  
Rui Zhang ◽  
Zhou Dao Lu ◽  
Jiang Tao Yu
Keyword(s):  
Fracture Toughness ◽  
Weight Function ◽  
Analytical Method ◽  
Function Method ◽  
Crack Opening ◽  
Fracture Parameter ◽  
Opening Displacement ◽  
Weight Function Method ◽  
Critical Fracture

Determination of double-K fracture parameter using both analytical and weight function method is carried out in present research. In calculating the cohesive fracture toughness, two situations are divided at critical load. Wedge-splitting tests with ten temperatures varying from 20oC to 600oC are implemented. The complete load-crack opening displacement curves are obtained from which the initial and critical fracture toughness could be calculated experimentally. The validation of double-K fracture model to the post-fire concrete specimens is proved. Meanwhile the weight function method agrees well with the analytical method.

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