Sentence examples for line discontinuity from inspiring English sources

I provide two examples of general solutions for conservative sheet motions near a line discontinuity.

I first consider a point discontinuity in a string and a line discontinuity in a sheet, in the context of classical inertial motion in three Euclidean dimensions.

The expansion formulae are applied to (i) analyze oblique scattering of flexural gravity waves by an articulated floating elastic plate and (ii) study the effect of compression on the oblique scattering of flexural gravity waves by a line discontinuity in a large floating ice sheet in water of infinite depth, which find applications in marine technology and arctic engineering, respectively.

I briefly comment on line discontinuities terminating in point discontinuities in a sheet, discontinuous line discontinuities in a sheet, and an approach to dynamic fracture that treats a crack tip in a sheet as a time-dependent boundary point.

A feasibility study has been carried out considering the bending vibration of plate structures with line discontinuities.

A propagating wave incident upon the line discontinuities gives rise to reflected and transmitted waves of both kinds whose amplitudes may be found from the reflection and transmission coefficients.

Furthermore, extensive comparisons with exact solutions and with the second-order Godunov scheme of Glaz and Wardlaw based on the Eulerian formulation show that the first-order Lagrangian method generally attains the same level of accuracy as the second-order Eulerian method and is even better in resolving slip line discontinuities.

In this paper we show theoretically and numerically that the first-order Godunov scheme based on the new Lagrangian formulation of Hui and Van Roessel for steady supersonic flow always resolves an isolated slip-line discontinuity crisply, provided it is initially aligned with a grid line.

It is well known that high-order accurate shock-capturing schemes, e.g., second-order TVD and ENO schemes, based on Eulerian formulation are capable of resolving a shock discontinuity in two grid points, but they smear a slip-line (contact-line) discontinuity over several grid points.

Although electron microscopy demonstrates synovial lining discontinuity with evidence of significant intercellular matrix space, it also shows the formation of cell-to-cell contacts with communicating cellular processes [ 1].

In this situation, the wedge is broader as structures develop at finite distances on either side of the line-discontinuity and its dynamics resembles more that of a 'vise-like' orogen.