Shear Modulus


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shear modulus

[′shir ‚mäj·ə·ləs]

Shear Modulus

 

(or rigidity modulus), a quantity characterizing shearing deformation. It is equal to the ratio of the shearing stress τ and the shearing angle γ (shearing strain). (See alsoMODULI OF ELASTICITY.)

modulus of rigidity, modulus of shear

In an elastic material which has been subjected to stress, the ratio of the shearing stress to the shearing strain.
References in periodicals archive ?
Its linear part is used to determine shear modulus value.
where [[alpha].sub.e], [r.sub.e1], and [r.sub.e2] are material parameters and [G.sup.E.sub.0] the initial elastic shear modulus. [[gamma].sup.P*.sub.ap] denotes the accumulative plastic deviatoric strain after the stress ratio reaches the phase transformation [M.sup.*.sub.m], and [[gamma].sup.E*.sub.r] is the reference strain which can be obtained by fitting to liquefaction resistance curve.
Symbols ILSS: Interlaminar shear strength I[Lss.sub.max]: Maximum interlaminar shear stress [DELTA][[alpha].sub.max]: Maximum difference of axial coefficients of thermal expansion between carbon fiber and epoxy [DELTA][T.sub.max]: Maximum temperature variation between stress-free temperature and ambient temperature [G.sub.max]: Maximum shear modulus in axial direction [[alpha].sub.CFACTE]: Carbon fiber's axial coefficient of thermal expansion [[alpha].sub.epoxy]: Epoxy's axial coefficient of thermal expansion [T.sub.s]: Stress-free temperature [T.sub.coldest]: Coldest temperature [G.sub.CFASM]: Carbon fiber's axial shear modulus N: Cycle numbers to failure [DELTA]T: Temperature variation.
The effects of the shear modulus ratio [G.sup.SL] of the soil and die, the Poisson ratio [v.sup.s] of the soil material, the fractional-derivative order [alpha], the material parameter ratio [T.sub.[sigma]]/[T.sub.[epsilon]] on the radial displacement, and the hoop stress amplitude were investigated.
The first one is the maximum shear modulus, [G.sub.0], which can be measured in the order of ~10-5-10-3% cyclic strain range.
Solving Equation 1 and 2, both derived from bending tests, it leads to values of longitudinal modulus of elasticity and shear modulus, Equation 3 and 4, respectively.
Caption: FIGURE 1: Shear modulus [[mu].sub.x]; a = 2, b = 1; [k.sub.1] = [k.sub.3] = 1, [k.sub.2] = 2.
TABLE 1: Mean grain size, grain centre distribution, grain boundary atomic fraction [eta], bulk modulus B, shear modulus [mu], Young's modulus E, and Poisson's ratio v, calculated from the above values of B and [mu], and average values of Young's modulus resulting from uniaxial strain tests, for each of the 8 samples studied in this paper.
In the formula mentioned above (see (1)), E is Young's modulus, G is shear modulus, [rho] is the density, and [mu] refers to Poisson's ratio.
where [K.sub.w] and [K.sub.G] are Winkler modulus for normal load and shear modulus for transverse shear loads, respectively.
The shear modulus [micro] of the measured muscle can then be calculated via the following equation:
Keywords: Normalized shear modulus Damping ratio Hyperbolic model Nonlinear multiple regression model Rockfill material