Effective field method for seismic properties of cracked rocks

2004 ◽  
Vol 109 (B8) ◽  
Author(s):  
V. Levin ◽  
M. Markov ◽  
S. Kanaun
Keyword(s):  
Field Method ◽  
Effective Field ◽  
Seismic Properties ◽  
Effective Field Method

scholarly journals Investigation of the mechanical properties of nanocomposite SWCNTS/epoxy by micromechanics methods and experimental works

2015 ◽  
Vol 12 (2) ◽  
pp. 103-114 ◽  
Author(s):  
H. S. Hedia ◽  
S. M. Aldousari ◽  
A. K. Abdellatif ◽  
G. S. Abdel Hafeez
Keyword(s):  
Mechanical Properties ◽  
Epoxy Resin ◽  
Volume Fraction ◽  
Field Method ◽  
Effective Field ◽  
Epoxy Nanocomposite ◽  
Optimal Value ◽  
Effective Field Method ◽  
Experimental Works ◽  
Stiffening Effect

In the present paper, the stiffening effect of carbon nanotubes is quantitatively investigated by micromechanics methods. The Mori-Tanaka effective-field method is employed to calculate the effective elastic moduli of composites with aligned or randomly oriented straight nanotubes. In addition, the epoxy resin is modified experimentally by adding SWCNT with different ratio i.e 0, 0.1, 0.3, 0.5 and 0.7 wt.-%. A comparison between the results for SWCNT/epoxy nanocomposite which obtained analytically and experimentally is done.In the experimental work the epoxy resin is modified by adding SWCNT with different ratio i.e 0, 0.1, 0.3, 0.5 and 0.7 wt.-%. The materials are characterized in tension to obtain the mechanical properties of SWCNT/epoxy nanocomposite experimentally. The results of micromechanics methods indicated that the CNTs are highly anisotropic, with Young’s modulus in the tube direction two orders of magnitude higher than that normal to the tube. The results shows a nanotube volume fraction of 0.3%of SWCNT improve all mechanical properties such as the tensile strength, modulus of elasticity and the toughness. Avoid the volume fraction greater than 0.5% SWCNT. The optimal value achieved experimentally, (at 0.3% SWCNT) lies between the analytical values (that achieved parallel to the CNT and the randomly orientated straight CNTs).

Calculation of Lower Bounds to Energy Eigenvalues of He, Li+ and Li by Means of the Effective Field Method

1991 ◽  
Vol 46 (10) ◽  
pp. 873-875 ◽  
Author(s):  
Jörg Fleischhauer ◽  
Wolfgang Schleker ◽  
Gerhard Raabe
Keyword(s):  
Lower Bounds ◽  
Field Method ◽  
Effective Field ◽  
Small Systems ◽  
Energy Eigenvalues ◽  
Modified Method ◽  
Effective Field Method

AbstractTwo versions of the effective field method have been applied to calculate lower bounds to the energy eigenvalues of the small systems He, Li+, and Li. Although our modified method leads to an improvement compared with the originally proposed scheme, the results are still far from being satisfying.

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