Based on the expressions for the surface displacements due to concentrated vertical and tangential forces acting on the free surface of a half-space, available from the well-known Boussinesq and Cerruti elasticity problems, the surface displacements and the surface stresses are derived for a half-space loaded by the vertical and tangential circular ring loads, or by uniform normal and radial sh...

Tides near and under floating glacial ice, such as ice shelves and glacier termini in fjords, can influence heat transport into the subice cavity, mixing of the under-ice water column, and the calving and subsequent drift of icebergs. Freesurface displacement patterns associated with ocean variability below glacial ice can be observed by differencing two synthetic aperture radar (SAR) interfero...

We exhibit a set of six explicit higher nonlocal integral invariants free-surface deep-water gravity waves conserved in lowest nontrivial orders perturbation the amplitude surface displacement.

Capacitance of dielectric coated metallic cylinder and truncated cone are evaluated using the method of moments based on pulse function and point matching. The analysis is based on boundary condition for the potential on the conductor surface and normal component of displacement density at the dielectric-free space interface. The total free charge on the conductor surface is found from the inve...

Motivated by observations of the subglacial drainage of water, we consider a hydraulic fracture problem in which the crack grows parallel to a free surface, subject to fully turbulent fluid flow. Using a hybrid Chebyshev=series-minimization numerical approach, we solve for the pressure profile, crack opening displacement, and crack growth rate for a crack that begins relatively short but eventu...

in the present paper, an analysis was carried out to investigate effects of radiation on a free convection flow bounded by a vertical surface embedded in a porous medium with constant suction velocity. it was under the influence of uniform magnetic field in the presence of a homogenous chemical reaction and viscous dissipation with constant heat and mass flux. the non-dimensional governing equa...

This paper presents a numerical and experimental study of capillary wave motion excited by high frequency surface acoustic waves SAWs . The objective of this study is to provide insight into the dynamic behavior of the fluid free surface and its dependence on the excitation amplitude. A two-dimensional numerical model that couples the motion of the piezoelectric substrate to a thin liquid layer...

In this paper, the sloshing response of liquid in a two dimensional rigid rectangular tank with rigid baffles is investigated using boundary element technique. A baffle is a supplementary structural element which supplies a kind of passive control on the effects of ground shaking. The complicated liquid domain is divided into two simple sub-domains so that the liquid velocity potential in each ...

An alternative method for deriving water wave dispersion relations and evolution equations is to use a weak formulation. The free-surface displacement η is written as an eigenfunction expansion,