The image force exerted by the free surface of a cylindrical circular void on a nearby straight dislocation depends on whether the dislocation has arrived at its location by the emission from the surface of the void, or by the glide from infinity. In the context of elasticity theory, in the first case, the dislocation has been created by imposing the displacement discontinuity along the cut fro...

Let S be a closed orientable surface of genus at least two. Let Γ be a Schottky group whose rank is equal to the genus of S, and Ω be the domain of discontinuity of Γ. Pick an arbitrary epimorphism ρ : π1(S) → Γ. Then Ω/Γ is a surface homeomorphic to S carrying a (complex) projective structure with holonomy ρ. We show that every projective structure with holonomy ρ is obtained by (2π-)grafting ...

ABSTRACT We show that the 1D planar ultrarelativistic shock tube problem with an polytropic equation of state can be solved analytically for case a working surface, i.e. when initial discontinuity on hydrodynamical quantities form two waves separating from contact discontinuity. The procedure is based extensive use Taub jump conditions relativistic waves, adiabatic, and performing Lorentz trans...

A novel approach to the automatic detection of fault surface images in 3D seismic datasets is presented. Based on the premise that seismic faulting introduces discontinuities into the rock layering (that is, the horizons), a coherency measure is used to detect points of significant horizon discontinuity. A highest confidence first (HCF) merging strategy is then combined with a flexible surface ...

We derive in algebraic form the displacement and stress fields produced by a triangular element of constant slip by superposing the solution of Comninou and Dundurs (1975) for an angular dislocation in an elastic half-space. Triangular elements are more flexible for simulating complex geometries than the rectangular elements widely used for modeling slip zones as a superposition of constant sli...

Assessment of the location and of the extension of cracking in road surfaces is important for determining the potential level of deterioration in the road overall and the infrastructure buried beneath it. Damage in a pavement structure is usually initiated in the tarmac layers, making the Rayleigh wave ideally suited for the detection of shallow surface defects. This paper presents an investiga...

Motivated by nonlinear elasticity theory, we study deformations that are weakly approximately differentiable, orientation-preserving and one-to-one almost everywhere, and in addition have finite surface energy. This surface energy is a functional E introduced by the authors in a previous paper, and has connections with the theory of currents. In the present paper we prove that E measures exactl...

A method for computing slip-line fields in the case of cohesionless backfills with stress discontinuity was proposed. The potential failure zone is divided into Rankine and transition zone, rigorously determined using theory plastic mechanics. are then further a series triangular slices. On basis force moment equilibrium conditions typical slice, recurrence equation lateral established. Further...