Sentence examples for plane conditions from inspiring English sources

The model assumes plane conditions and is based, firstly, in an approximation of the 2D displacement components by using a series of functional products of separate variables and, secondly, in the use of higher-order moments of the stress components, which allow an enriched beam model to be constructed.

The proposed storage function is closely related to the Gibbs tangent plane condition.

Those boundary conditions constitute two of the four possible types of simply supported edges that differ only in their in-plane conditions.

Consideration is given in the paper to the two extreme in-plane conditions at the shear web boundaries, which are normal stress free boundaries and straight edge boundaries.

Plates with opposite edges clamped or simply supported with immovable in-plane conditions and resting on Winkler, Pasternak and non-linear Winkler foundations are considered.

By expressing [u1s, v1s] = -α [ψ1s, x, ψ1s, y ] due to the second equation v1s, x = u1s, y, Equation 58 becomes a fourth-order equation in ψ1s to be solved with two in-plane conditions along constant x (and y) edges in the present example σ x 1 s = 0 ⇄ x, y, v 1 s = 0 ⇄ v, u Open image in new window (59).

The above equation becomes a fourth-order equation in ψ1c to be solved with two in-plane conditions along constant x (and y) edges σ x 1 c * = 0 ⇄ x, y, v 1 c * = 0 ⇄ u, v Open image in new window (41).

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.

Passengers had been used as a bargaining tool on board the plane, where conditions deteriorated badly.

Stiffness matrices of materials under plane stress conditions are.

The problem is formulated under plane strain conditions.