scholarly journals Determination of crack surface displacements for a radial crack emanating from a semi-circular notch using weight function method

2015 ◽  
Vol 28 (3) ◽  
pp. 305-312 ◽  
Author(s):  
Dihua Tong ◽  
Xueren Wu
Keyword(s):  
Weight Function ◽  
Function Method ◽  
Radial Crack ◽  
Crack Surface ◽  
Weight Function Method ◽  
Surface Displacements ◽  
Circular Notch

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.

Energy for crack growth in model rubber components

1972 ◽  
Vol 7 (2) ◽  
pp. 132-140 ◽  
Author(s):  
P B Lindley
Keyword(s):  
Fatigue Life ◽  
Crack Growth ◽  
Crack Surface ◽  
Uniform Stress ◽  
Numerical Techniques ◽  
Surface Displacements ◽  
Tearing Energy ◽  
Crack Growth Rates ◽  
Essential Prerequisite

The determination of tearing energy, i.e. the energy available for crack growth, is an essential prerequisite for the estimation of the fatigue life of rubber components. Three methods of determining tearing energy are considered: from changes in total energy, from crack surface displacements, and by comparison with known values for the same crack growth rates. It is shown by applying experimental and numerical techniques to plane-stress testpieces, not necessarily of uniform stress or thickness, that the methods are satisfactory.

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