Sentence examples for modulus and mass from inspiring English sources

The shear modulus and mass density are assumed to vary exponentially through the thickness.

Approximate displacement values depending on Young's modulus and mass density of layers are obtained.

Both Young's modulus and mass density of the beam materials vary exponentially through the thickness.

The property gradation in FGMs is considered by varying shear modulus and mass density exponentially along the gradation direction.

The Young modulus and mass density are allowed to be continuously variable through the thickness of the plate.

Elasticity modulus and mass density of the beam vary continuously in the axial direction of the beam according to a power law form.

Besides the analytical formulas for the effective parameters reported previously, i.e., the bulk modulus and the mass density perpendicular to the cylinders, we also derive a simple expression for the effective mass density parallel to the cylinders.

The spring stiffness term is based upon the fluid bulk modulus, and the mass is determined from the fluid density.

Herein, r 0, B and µ are the equilibrium distance, Bulk modulus and reduced mass of the compounds.

Fok and Zhang [42] also tried to demonstrate double negative parameters using rod-spring and Helmholtz structures, but they pointed out that negative refractive index can still be achieved by designing an acoustic metamaterial with negative bulk modulus and positive mass density due to large material loss.

Here, 〈ω 2〉1/2 (=k B θ D/ħ) is the mean square frequency related to the Debye temperature θ D. The Debye temperature can be known either from Heat capacity measurements or from the Bulk modulus value using θ D = (ħ/k B √(5r 0 B T/μ). Herein, r 0, B, and µ are the equilibrium distance, Bulk modulus, and reduced mass of the compounds.