In this paper, the solution of an isotropic hollow cylinder, with an isotropic coating, weakened by multiple radial cracks is studied. The hollow cylinder and its coating are under Saint-Venant torsional loading. The series solution is then derived for displacement and stress fields in the cross section of the cylinder containing a Volterra-type screw dislocation. The dislocation solution is em...

Hydrological forecasting can provide the basis for dealing with the conflict between flood control and water use. This paper proposes a flood and sediment forecasting method for rivers by deriving an energy equation which describes the conservation of potential slope, kinetic slope, and friction slope of a river reach. The equation contains an additional term, the rate of change of stage, which...

In this communication we analyze the nonlinear stability of pseudo-rigid motions constituted by similarity transformations which leave a point of the mechanical systems fixed. For this we apply the energy-momentum method to a class of relative equilibria formed by upright motions of a deformable Lagrangian top modelled by a Saint Venant-Kirchhoff material.

We consider a novel second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids which was originally introduced in [3] . Here, in several numerical experiments we demonstrate accuracy, high resolution and robustness of the proposed method.

From the view of differential geometry, a straight line is a geometric curve with the curvature κ(s) = 0. A plane curve is a family of geometric curves with torsion τ(s) = 0. Helix is a geometric curve with non-vanishing constant curvature κ and non-vanishing constant torsion τ [4]. The helix may be called a circular helix or W -curve [9]. It is known that straight line (κ(s) = 0) and circle (κ...

This survey paper is focused on the Saint-Venant inequality for the Laplace operator with Robin boundary conditions. In a larger context, we make the point on the recent advances concerning isoperimetric inequalities of Faber-Krahn type for elastically supported membranes and describe the main ideas of their proofs in both contexts of rearrangement and free discontinuity techniques.