On the Extreme Values of Young’s Modulus, the Shear Modulus, and Poisson’s Ratio for Cubic Materials

1998 ◽  
Vol 65 (3) ◽  
pp. 786-787 ◽  
Author(s):  
M. Hayes ◽  
A. Shuvalov
Keyword(s):  
Shear Modulus ◽  
Young’S Modulus ◽  
Poisson’S Ratio ◽  
Extreme Values ◽  
Young's Modulus ◽  
Positive Definite ◽  
Poisson's Ratio ◽  
Stored Energy ◽  
Maximum Value ◽  
Cubic Materials

For homogeneous cubic elastic materials with positive definite stored energy it is shown that the maximum and minimum values of Young’s modulus E are related to the maximum and minimum values of the shear modulus G through the simple connection 1/Gmin−1/Gmax=3(1/Emin−1/Emax). It is deduced that the ratio of compliances −s12/s44 is the maximum value of Poisson’s ratio v in the cubic materials with a positive parameter χ=2s11−2s12−s44, and the minimum value of ν in the cubic materials with negative χ.

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.

Room temperature Young's modulus, shear modulus, and Poisson's ratio of Ce0.9Fe3.5Co0.5Sb12 and Co0.95Pd0.05Te0.05Sb3 skutterudite materials

2010 ◽  
Vol 504 (2) ◽  
pp. 303-309 ◽  
Author(s):  
Robert D. Schmidt ◽  
Jennifer E. Ni ◽  
Eldon D. Case ◽  
Jeffery S. Sakamoto ◽  
Daniel C. Kleinow ◽  
...  
Keyword(s):  
Shear Modulus ◽  
Young’S Modulus ◽  
Poisson’S Ratio ◽  
Room Temperature ◽  
Young's Modulus ◽  
Poisson's Ratio

Elastic Constants of Magnesium Thorium Alloy

1967 ◽  
Vol 89 (1) ◽  
pp. 93-97
Author(s):  
J. R. Asay
Keyword(s):  
Shear Modulus ◽  
Bulk Modulus ◽  
Young’S Modulus ◽  
Poisson’S Ratio ◽  
Young's Modulus ◽  
Longitudinal Velocity ◽  
Shear Velocity ◽  
Polycrystalline Sample ◽  
Poisson's Ratio ◽  
Wave Measurements

The longitudinal and shear wave velocities in a polycrystalline sample of magnesium thorium alloy were measured by a pulse transmission technique as a function of temperature. Temperatures ranged from 25 C to about 350 deg C for longitudinal wave measurements and to about 220 deg C for shear measurements. The resulting velocity data were used to calculate various elastic properties of the material, including Young’s modulus, shear modulus, bulk modulus, and Poisson’s ratio. The resulting least squares fits for these data are: Longitudinal velocity, cl = 5.749 − 3.987 × 10−4T − 1.139 × 10−6T2mm/μsec; shear velocity, ct = 3.108 − 1.421 × 10−4T − 2.588 × 10−6T2mm/μsec; bulk modulus, B = 3.576 × 10″ − 2.744 × 107T + 1.187 × 105T2 dynes/cm2; Young’s modulus, E = 4.435 × 10″ − 1.415 × 107T = 6.037 × 105T2 dynes/cm2; shear modulus, G = 1.716 × 10″ − 7.994 × 106T − 2.619 × 105T2 dynes/cm2; Poisson’s ratio, σ = 0.293 − 6.459 × 10−6T + 3.392 × 10−7T2.

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