Quadripartite Surface Wave Method: Development

Numerical investigation of free surface flood wave and solitary wave using incompressible SPH method

Simulation of free surface flow and sudden wave profile are recognized as the most challenging problem in computational hydraulics. Several Eulerian/Lagrangian approaches and models can be implemented for simulating such phenomena in which the smoothed particle hydrodynamics method (SPH) is categorized as a proper candidate. The incompressible SPH (ISPH) method hires a precise incompressible hy...

A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces

The problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. Using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations...

Slowness Surface Wave Surface

Quadripartite version of the Hajnal-Szemerédi theorem

Let G be a quadripartite graph with N vertices in each vertex class and each vertex is adjacent to at least (3/4)N vertices in each of the other classes. There exists an N0 such that, if N ≥ N0, then G contains a subgraph that consists of N vertex-disjoint copies of K4.

Evaluation of Distributed Surface-breaking Cracks in Concrete Using Surface Wave Transmission Method

Abstract Previous research has indicated that the surface wave transmission (SWT) method can be used to measure the depth of a single surface-breaking crack in concrete. In this paper, the authors extend the SWT method to evaluation of distributed cracks in concrete. First, scattering field of surface waves caused by distributed cracks in concrete was investigated using numerical simulation. Se...