Interface slip between two half-planes caused by a steadily moving force

Cracked piezoelectric layer bounded between two orthotropic half-planes

This paper deals with the behavior of anti-plane shear crack in a piezoelectric layer bounded between two orthotropic half-planes within the framework of linear electroelasticity. The crack surfaces are assumed to be permeable or impermeable. The analysis is based on the stress fields caused by Volterra-type screw dislocation in the medium. Fourier transforms are used to reduce the dislocation ...

Moving Porous Half-Planes

A shear flow motivated by relatively moving half-planes is theoretically studied in this paper. Either the mass influx or the mass efflux is allowed on the boundary. This flow is called the extended Stokes’ problems. Traditionally, exact solutions to the Stokes’ problems can be readily obtained by directly applying the integral transforms to the momentum equation and the associated boundary and...

Surface Displacements due to a Steadily Moving Point Force

In this paper we shall investigate the normal surface displacement of the isotropic elastic half-space z > 0, due to a normal point force, F, which moves with constant speed, V, in the xdirection over the surface z = 0. This problem defines the Green's function for a class of elastodynamic contact problems for the half-space in which a frictionless rigid indenter moves at constant speed over th...

Extended Stokes ’ problems for relatively moving porous half - planes

Searching Polyhedra by rotating half-Planes

The Searchlight Scheduling Problem was first studied in 2D polygons, where the goal is for point guards in fixed positions to rotate searchlights to catch an evasive intruder. Here the problem is extended to 3D polyhedra, with the guards now boundary segments who rotate half-planes of illumination. After carefully detailing the 3D model, several results are established. The first is a nearly di...