Determination of effective shear modulus of shock-compressed LY12 Al from particle velocity profile measurements

2008 ◽  
Vol 103 (10) ◽  
pp. 103529 ◽  
Author(s):  
Yuying Yu ◽  
Hua Tan ◽  
Jianbo Hu ◽  
Chengda Dai ◽  
Danian Chen ◽  
...  
Keyword(s):  
Shear Modulus ◽  
Velocity Profile ◽  
Particle Velocity ◽  
Effective Shear Modulus

scholarly journals Multiscale Analysis of Elastic Properties of Nano-Reinforced Materials Exhibiting Surface Effects. Application for Determination of Effective Shear Modulus

2020 ◽  
Vol 4 (4) ◽  
pp. 172 ◽  
Author(s):  
Tien-Thinh Le
Keyword(s):  
Shear Modulus ◽  
Multiscale Analysis ◽  
Surface Effect ◽  
Surface Effects ◽  
Imperfect Interface ◽  
Explicit Calculation ◽  
Interface Model ◽  
Effective Shear Modulus ◽  
Reinforced Materials

This work concerns a multiscale analysis of nano-reinforced heterogeneous materials. Such materials exhibit surface effects that must be taken into account in the homogenization procedure. In this study, a coherent imperfect interface model was employed to characterize the jumps of mechanical properties through the interface region between the matrix and the nanofillers. As the hypothesis of scale separation was adopted, a generalized self-consistent micromechanical scheme was employed for the determination of the homogenized elastic moduli. An explicit calculation for the determination of effective shear modulus is presented, together with a numerical application illustrating the surface effect. It is shown that the coherent imperfect interface model is capable of exploring the surface effect in nano-reinforced materials, as demonstrated experimentally in the literature.

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.

Instrumentation on Impact Shock Study of Polymers and Possibility of Non-Equilibrium Shock Hugoniot

2010 ◽  
Vol 638-642 ◽  
pp. 1059-1064
Author(s):  
Kunihito Nagayama ◽  
Yasuhito Mori
Keyword(s):  
Carbon Fiber ◽  
Velocity Profile ◽  
Dynamic Response ◽  
Particle Velocity ◽  
Energetic Materials ◽  
Polymer Materials ◽  
Space Applications ◽  
Shock Response ◽  
Shock Hugoniot ◽  
Relaxation Structure

Polymer materials have widespread applications in various situations for structural materials by themselves as well as by combining with other materials such as carbon fiber. Some of them are also candidates for energetic materials in space applications.[1] Due to their general use, shock response of them has attracted attention for many researchers.[2-4] One of the striking characteristics of the dynamic response of them is that stress and/or particle velocity profile has a relaxation structure of s range.[5, 6]

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