Cubically anisotropic stress-strain states and finding them by the method of small parameter

2009 ◽  
Vol 82 (3) ◽  
pp. 584-587
Author(s):  
I. M. Martynenko ◽  
M. A. Zhuravkov ◽  
V. A. Kazakevich ◽  
O. N. Sklyar
Keyword(s):  
Small Parameter ◽  
Stress Strain ◽  
Anisotropic Stress ◽  
Method Of Small Parameter

Pulsatile pipe flow pseudoplastic materials; The flow enhancement for Re ≪ 1

1983 ◽  
Vol 48 (6) ◽  
pp. 1579-1587 ◽  
Author(s):  
Ondřej Wein
Keyword(s):  
Small Parameter ◽  
Pipe Flow ◽  
Quantitative Estimation ◽  
Reynolds Numbers ◽  
Power Law Model ◽  
Viscosity Function ◽  
Small Reynolds Numbers ◽  
Title Problem ◽  
Flow Enhancement ◽  
Method Of Small Parameter

Solution of the title problem for the power-law model of viscosity function is constructed by the method of small parameter in the region of small Reynolds numbers. The main result of the paper is a quantitative estimation of the values of Re, when the influence of inertia on flow enhancement may be quite neglected.

A Stochastic Method to Estimate the Anisotropic Stress-Dependent Coal Permeability by Pore-Volume Distribution and Stress-Strain Measurements

SPE Journal ◽  
2020 ◽  
Vol 25 (05) ◽  
pp. 2582-2600
Author(s):  
Syed Shabbar Raza ◽  
Victor Rudolph ◽  
Tom Rufford ◽  
Zhongwei Chen
Keyword(s):  
History Matching ◽  
Absolute Magnitude ◽  
Volume Distribution ◽  
Stress Strain ◽  
Anisotropic Permeability ◽  
Anisotropic Stress ◽  
Flow Channels ◽  
Measured Stress ◽  
Stress Dependent ◽  
Or History

Summary A novel, simple, economical, and time-effective method to estimate the anisotropic permeability of coal is presented in this paper. This method estimates the coal’s anisotropic permeability by avoiding the tedious experimentation using triaxial permeameter or history-matching exercises. This method calculates the absolute magnitude of the permeability of the sample. In this regard, it is unlike other analytical permeability models, such as given by Palmer and Mansoori (1998) and Shi and Durucan (2014), that only calculate the permeability ratio (k/k0). The motivation is to find a method by which the permeability of the coal may be determined with reasonable accuracy by using only two easy measurements: mercury intrusion porosimetry (MIP) and anisotropic stress-strain (σ-ɛ) measurement. The main blocks of the method are based on cleat size that is obtained from MIP and randomly allocated to form flow channels/cleats through the coal; these cleats form parallel paths in the orthogonal face and butt cleat directions that provide the permeability; and the cleat width (b) is stress dependent. This method is further validated by comparing with the experimentally measured stress-dependent permeability of Surat Basin (Australia) coal and German coal in face cleat and butt cleat directions.

Mimicking “J-Shaped” and Anisotropic Stress–Strain Behavior of Human and Porcine Aorta by Fabric-Reinforced Elastomer Composites

2019 ◽  
Vol 11 (36) ◽  
pp. 33323-33335 ◽  
Author(s):  
Dinara Zhalmuratova ◽  
Thanh-Giang La ◽  
Katherine Ting-Ting Yu ◽  
Alexander R. A. Szojka ◽  
Stephen H. J. Andrews ◽  
...  
Keyword(s):  
Stress Strain ◽  
Anisotropic Stress ◽  
Strain Behavior ◽  
Elastomer Composites
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