Sentence examples for law variation of from inspiring English sources

The power law variation of properties is assumed in the thickness direction.

The equations of motion are derived from Hamilton׳s principle based on the modified couple stress theory, and the power law variation of the material through the thickness of the plate.

The graded interphase zone around the inclusion is assumed to have power law variation of the shear modulus with radial co-ordinate, with Poisson's ratio assumed to be constant and equal to that of the matrix.

By assuming a radial power law variation of Young's modulus and constant value for Poisson's ratio, the governing differential equations for plane stress conditions, and general in-plane loading conditions are studied.

The equations of motion are derived from Hamilton's principle based on a modified couple stress theory, the von Karman nonlinear strains, and the power law variation of the material through the thickness of the plate.

The governing equations are derived from minimum total potential energy principle based on a modified couple stress theory, and the power law variation of the material through the thickness of the plate.

Supporters say the law, variations of which have been passed in other states in recent years, is necessary to prevent voting fraud.

The formulation is based on a modified couple stress theory, power-law variation of the material, temperature-dependent properties, and the von Kármán geometric nonlinearity.

A detailed derivation of the equations of motion, using Hamilton's principle, is presented, and it is based on a modified couple stress theory, power-law variation of the material through the thickness, and the von Kármán nonlinear strains.

A microstructure-dependent nonlinear theory for axisymmetric bending of circular plates, which accounts for through-thickness power-law variation of a two-constituent material, is developed using the principle of virtual displacements.

A thermo-elastic problem of uniform heating is studied for a single hollow spherical inclusion embedded in a finite matrix assuming power-law variation of the thermo-elastic properties.