Comment on "Effective Shear Modulus of HoneycombCellular Structure"

AIAA Journal ◽  
1964 ◽  
Vol 2 (8) ◽  
pp. 1518-1518
Author(s):  
RONALD A. GELLATLY
Keyword(s):  
Shear Modulus ◽  
Effective Shear Modulus

Exact equations for fluid and solid substitution

Geophysics ◽  
2014 ◽  
Vol 79 (3) ◽  
pp. L21-L32 ◽  
Author(s):  
Nishank Saxena ◽  
Gary Mavko
Keyword(s):  
Shear Stress ◽  
Shear Modulus ◽  
Bulk Modulus ◽  
Fluid Substitution ◽  
Pore Shape ◽  
Effective Shear Modulus ◽  
Stiffness Measurement ◽  
Saturated Rock ◽  
Mean Stresses

We derived exact equations, elastic bulk and shear, for fluid and solid substitution in monomineralic isotropic rocks of arbitrary pore shape and suggested methods to obtain the required substitution parameters. We proved that the classical Gassmann’s bulk modulus equation for fluid-to-fluid substitution is exact for solid-to-solid substitution if compression-induced mean stresses (pressure) in initial and final pore solids are homogeneous and either the shear modulus of the substituted solid does not change or no shear stress is induced in pores. Moreover, when compression-induced mean stresses in initial and final pore solids are homogeneous, we evaluated exact generalizations of Gassmann’s bulk modulus equation, which depend on usually known parameters. For the effective shear modulus, we found general exactness conditions of Gassmann and other approximations. Using the new exact substitution equations, we interpreted that predicting solid-filled rock stiffness from a dry rock stiffness measurement requires more information (i.e., assumptions about the pore shape) compared to predicting the same from a fluid-saturated rock stiffness.

Effective Shear Modulus Trends for Cold-formed Steel Panels

1996 ◽  
Vol 39 (5) ◽  
pp. 1817-1824
Author(s):  
J. D. Keener ◽  
H. B. Manbeck
Keyword(s):  
Shear Modulus ◽  
Effective Shear Modulus ◽  
Cold Formed Steel ◽  
Steel Panels

Internal friction and effective shear modulus of single-crystal silicon in early stages of oxygen precipitation

2002 ◽  
Vol 36 (9) ◽  
pp. 962-965
Author(s):  
V. V. Motskin ◽  
A. V. Oleinich-Lysyuck ◽  
N. D. Raranskii ◽  
I. M. Fodchuk
Keyword(s):  
Internal Friction ◽  
Shear Modulus ◽  
Single Crystal ◽  
Single Crystal Silicon ◽  
Crystal Silicon ◽  
Effective Shear Modulus ◽  
Early Stages ◽  
Oxygen Precipitation

Effective shear modulus of piezoelectric film embedded with square nano-fibers under anti-plane shear waves

2014 ◽  
Vol 115 (15) ◽  
pp. 154315 ◽  
Author(s):  
Ming-Juan Huang ◽  
Xue-Qian Fang ◽  
Xing Zhao ◽  
Jin-Xi Liu ◽  
Wen-Jie Feng
Keyword(s):  
Shear Modulus ◽  
Shear Waves ◽  
Piezoelectric Film ◽  
Plane Shear ◽  
Effective Shear Modulus

A Note on the Effective Lame´ Constants of Polycrystalline Aggregates of Cubic Crystals

1998 ◽  
Vol 65 (3) ◽  
pp. 769-770 ◽  
Author(s):  
V. A. Lubarda
Keyword(s):  
Shear Modulus ◽  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Polycrystalline Aggregate ◽  
Cubic Crystals ◽  
Effective Shear Modulus ◽  
Lame Constant ◽  
Polycrystalline Aggregates

It is well known that the Voigt and Reuss estimates of the effective shear modulus of a polycrystalline aggregate of cubic crystals are, respectively, the upper and lower bounds for this constant (μR ≤ μ ≤ μV). It is pointed out in this note that the opposite is true for the Lame´ constant λ (λV ≤ λ ≤ λR).

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