Sentence examples for modulus given by from inspiring English sources

The first type strain involves calculating the bulk modulus, given by the formula B_{0} = (C_{11} + 2C_{12} )/3 (6).

For the shear modulus given by either a power law or an exponential function of the radius r, we derive explicit expressions for stresses, the hydrostatic pressure and displacements.

The term E i stands for the modulus of the indenter (1140 GPa) while E r is the reduced modulus given by the formula: {E}_{mathrm{r}} = frac{sqrt{pi }}{2Csqrt{A_{mathrm{p}}}}. where C denotes the compliance of the contact and is determined by the slope of dh/dF between 95 and 60%% of F max, and thus, the steeper (more vertical) the unloading curve the higher the E IT.

The distance modulus is given by μ = 5 log d L + 25, (42 where the luminosity distance d L is defined as d L = r 1 1 + z a 0. (43).

The secant modulus is given by the slope of a line drawn from the origin to a point on the curve corresponding to a 40% stress of the failure load (Mehta and Monteiro 2006).

For any complex number :z = x + iy,\, the absolute value or modulus is given by :r = |z|=\sqrt{x^2 + y^2}.\, So the three quantities, r, x and y are related by the Pythagorean equation, :r^2 = x^2 + y^2.\, Note that r is defined to be a positive number or zero but x and y can be negative as well as positive.

From this value and the height (diameter) [ 60] of the fibrils, the bending modulus is given by equation (5).

The P wave modulus is given by, where ρbulk is the bulk sample density and V P is the P wave velocity.

Using r = 7.0 Å as the radius of a hydrated collagen molecule, Young's modulus is given by E = k(Leq/π r).

The magnitude of the complex modulus is given by [ 7, 8]: (2) while the phase angle is given by: (3) A phase angle of 0° would indicate that a material is purely elastic, while a purely viscous material would have a phase angle of 90°.

If the crystalline effect is considered in the Young's modulus which is given by [19] (35).