We propose a boundary-element-based method for crack problems in multilayered elastic medium that consists of set individually homogeneous strata. The divides the along slit-like surface so effects elements placed one become distinguishable from those other surface. As result, direct cannot be directly applied turns out to applicable. After that, we derive recursive formula obtains “stiffness m...

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...

We consider the approximate solution of the initial value problem du du , .. . . _ = _ „(*,0) = »(*), by a dissipative Galerkin method. When v is taken to have a jump discontinuity at zero, that discontinuity will propagate along x + t = 0, in the true solution u. Estimates in L^ and Lx of the pollution effects of the discontinuity are found. These estimates show those effects to decay exponent...

This paper introduces ‘treatable’ theories, a large class of first-order theories each having a unique countable recursively saturated model.Important examples of such theories are DIS and DLO. It turns out that resplendency or parameter-free resplendency for such theories is implied by a Σ1(Π1 ThN)-statement. Other results concerning resplendency and Σ1definability are obtained.

In this article, we study the classical solution of mixed problem in a quarter plane for one-dimensional wave equation. This models propagation displacement waves during longitudinal impact on bar, when load remains contact with bar and has linear elastic element at end. On lower boundary, Cauchy conditions are specified, second them discontinuity first kind one point. The boundary condition, i...

Image registration is a powerful tool in medical image analysis and facilitates the clinical routine in several aspects. There are many well established elastic registration methods, but none of them can so far preserve discontinuities in the displacement field. These discontinuities appear in particular at organ boundaries during the breathing induced organ motion. In this paper, we exploit th...

The problem of the unsteady perturbed two-dimensional flow at low Mach number of a viscous compressible fluid is studied taking the relation between the stress and deformation rates tensors that was obtained and applied in [1] and [3]. It is shown that the system of equations describing the phenomenon is totally hyperbolic and therefore the perturbations in any point P of the field are propagat...

A jointed rock mass presents a more complex design problem than the other rock masses. The complexity arises from the number (greater than two) of joint sets which define the degree of discontinuity of medium.  The condition that arises in these types of rock masses is the generation of discrete rock blocks, of various geometries. They defined by the natural fracture surfaces and the excavation...