Sentence examples for functions of the radius from inspiring English sources

The elastic moduli are allowed to be arbitrary functions of the radius r.

The critical prestrain and the corresponding wrinkling number are solved as functions of the radius of the prestretched region and the Young's modulus ratio between the film and substrate.

We limited our analysis to integer values of n for which the solutions are real functions of the radius x.

If the density and pressure are both set equal to functions of the radius from the center of the star, the system of equations consisting of the hydrostatic equation together with the equation of state can then be solved to find the structure of the white dwarf at equilibrium.

We can graph out what this is where we're graphing the radial probability density as a function of the radius.

The tube material properties have been considered to be isotropic and vary as a power function of the radius.

So, essentially we're just breaking it up into two parts that can be separated, and the part that is only dealing with the radius, so it's only a function of the radius of the electron from the nucleus.

Material is considered incompressible and material properties are assumed as a function of the radius of the cylinder to a power law function.

The shear modulus is taken to vary either as an exponential function or as a power law function of the radius only.

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.

Thus, a simple empirical model to predict compressive failure load is proposed as a function of the radius of tensile armor, wire lay angle and torsional, normal and binormal bending stiffness of the wire cross section.