scholarly journals Numerical Analysis of Flattened Brazilian Disc Test Based on the Cusp Catastrophe Theory

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Min Wang ◽  
Ping Cao
Keyword(s):  
Tensile Strength ◽  
Catastrophe Theory ◽  
Poisson’S Ratio ◽  
Equivalent Stress ◽  
Poisson's Ratio ◽  
Fracture Plane ◽  
Cusp Catastrophe ◽  
Brazilian Disc ◽  
Brazilian Disc Test ◽  
Cusp Catastrophe Theory

The Brazilian disc test is a simple and useful technique to determine the tensile strength of rock materials. By using FLAC3D, 63 numerical simulations in total were performed when flattened Brazilian disc coefficient and Poisson’s ratio were different. Based on Griffith theory, the corresponding FISH language was compiled to record the Griffith equivalent stress. Through analysis of numerical simulation results, it is indicated that fracture plane was not the plane going through center of the Brazilian disc, which was in good agreement with the references. In addition, the flattened Brazilian disc coefficients had greater influence on tensile strength than Poisson’s ratio. Based on cusp catastrophe theory, the flattened Brazilian disc coefficient should not exceed 0.035 for the flattened Brazilian disc tests. Consequently, a tensile strength empirical formula considering flattened Brazilian disc coefficient by utilizing the flattened Brazilian disc test was established, which wasσt=0.9993 exp (-11.65ε)2p/πDt,ε≤0.035.

scholarly journals A numerical and experimental study on the tensile behavior of plasma shocked granite under dynamic loading

2017 ◽  
Vol 50 (2) ◽  
pp. 41-62
Author(s):  
Ahmad Mardoukhi ◽  
Timo Saksala ◽  
Mikko Hokka ◽  
Veli-Tapani Kuokkala
Keyword(s):  
Experimental Study ◽  
Tensile Strength ◽  
Mechanical Behavior ◽  
Thermal Shock ◽  
Dynamic Loading ◽  
Split Hopkinson Pressure Bar ◽  
Tensile Behavior ◽  
Brazilian Disc ◽  
Brazilian Disc Test ◽  
Plasma Shock

This paper presents a numerical and experimental study on the mechanical behavior of plasma shocked rock. The dynamic tensile behavior of plasma shock treated Balmoral Red granite was studied under dynamic loading using the Brazilian disc test and the Split Hopkinson Pressure Bar device. Different heat shocks were produced on the Brazilian disc samples by moving the plasma gun over the sample at different speeds. Microscopy clearly showed that as the duration of the thermal shock increases, the number of the surface cracks and their complexity increases (quantified here as the fractal dimension of the crack patterns) and the area of the damaged surface grows larger as well. At the highest thermal shock duration of 0.80 seconds the tensile strength of the Brazilian disc sample drops by approximately 20%. In the numerical simulations of the dynamic Brazilian disc test, this decrease in tensile strength was reproduced by modeling the plasma shock induced damage using the embedded discontinuity finite element method. The damage caused by the plasma shock was modeled by two methods, namely by pre-embedded discontinuity populations with zero strength and by assuming that the rock strength is lowered and conform to the Weibull distribution. This paper presents a quantitative assessment of the effects of the heat shock, the surface microstructure and mechanical behavior of the studied rock, and a promising numerical model to account for the pre-existing crack distributions in a rock material.

Investigation of Material Properties of One-Piece Glass Fiber Post-and-Core Affecting Biomechanical Responses of the Restorative System

2010 ◽  
Vol 160-162 ◽  
pp. 1691-1698 ◽  
Author(s):  
Zhi Xin Huang ◽  
Cai Fu Qian ◽  
Peng Liu ◽  
Xu Liang Deng ◽  
Qing Cai ◽  
...  
Keyword(s):  
Shear Modulus ◽  
Young’S Modulus ◽  
Material Properties ◽  
Poisson’S Ratio ◽  
Young's Modulus ◽  
Equivalent Stress ◽  
Poisson's Ratio ◽  
Fiber Post ◽  
Maximum Deformation ◽  
Maximum Equivalent Stress

This study aimed at investigating the effects of the post material properties on the maximum stress in the root and maximum deformation of the restorative system. Effects of material properties of fiber post on the maximum equivalent stress in the root and the maximum deformation of the restorative system were numerically investigated. Results show that the maximum equivalent stress in the root can be decreased by 8.3% and the maximum deformation of the restorative system decreased by 10% compared with corresponding maximum values if changing Young’s modulus, Shear modulus and Poisson’s ratio in the range studied here. The maximum equivalent stress in the root is more sensitive to Young’s modulus and Poisson’s ratio while the deformation of the restorative system is more seriously affected by the Shear modulus of the post material.

A novel index based on the cusp catastrophe theory for predicting harmful algae blooms

2019 ◽  
Vol 102 ◽  
pp. 746-751 ◽  
Author(s):  
Yimei Tian ◽  
Bo Zheng ◽  
Hailiang Shen ◽  
Shengnan Zhang ◽  
Yaru Wang
Keyword(s):  
Catastrophe Theory ◽  
Harmful Algae ◽  
Cusp Catastrophe ◽  
Harmful Algae Blooms ◽  
Algae Blooms ◽  
Cusp Catastrophe Theory

Tensile strength for splitting failure of brittle particles with consideration of poisson's ratio

2004 ◽  
Vol 2 (6) ◽  
pp. 241-247 ◽  
Author(s):  
Guoming Hu ◽  
Yanmin Wang ◽  
Pingbo Xie ◽  
Zhidong Pan
Keyword(s):  
Tensile Strength ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Splitting Failure

Tensile strength performance with determination of the Poisson‘s ratio of additively manufactured AlSi10Mg samples

2019 ◽  
Vol 50 (5) ◽  
pp. 539-545 ◽  
Author(s):  
E. Sert ◽  
E. Schuch ◽  
A. Öchsner ◽  
L. Hitzler ◽  
E. Werner ◽  
...  
Keyword(s):  
Tensile Strength ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Strength Performance
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