Determination of the critical plane by a weight-function method based on the maximum shear stress plane under multiaxial high-cycle loading

2016 ◽  
Vol 90 ◽  
pp. 36-46 ◽  
Author(s):  
Xiao-Wei Wang ◽  
De-Guang Shang
Keyword(s):  
Shear Stress ◽  
Weight Function ◽  
Function Method ◽  
Maximum Shear Stress ◽  
Critical Plane ◽  
Weight Function Method ◽  
Stress Plane ◽  
Cycle Loading

A weight function method for multiaxial low-cycle fatigue life prediction under variable amplitude loading

2018 ◽  
Vol 53 (4) ◽  
pp. 197-209 ◽  
Author(s):  
Xiao-Wei Wang ◽  
De-Guang Shang ◽  
Yu-Juan Sun
Keyword(s):  
Fatigue Life ◽  
Weight Function ◽  
Life Prediction ◽  
Function Method ◽  
Low Cycle Fatigue ◽  
Fatigue Life Prediction ◽  
Cycle Fatigue ◽  
Critical Plane ◽  
Variable Amplitude ◽  
Weight Function Method

A weight function method based on strain parameters is proposed to determine the critical plane in low-cycle fatigue region under both constant and variable amplitude tension–torsion loadings. The critical plane is defined by the weighted mean maximum absolute shear strain plane. Combined with the critical plane determined by the proposed method, strain-based fatigue life prediction models and Wang-Brown’s multiaxial cycle counting method are employed to predict the fatigue life. The experimental critical plane orientation and fatigue life data under constant and variable amplitude tension–torsion loadings are used to verify the proposed method. The results show that the proposed method is appropriate to determine the critical plane under both constant and variable amplitude loadings.

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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