Abstract: Recent experiment and molecule dynamics simulation showed that adhesion droplet on conical surface could move spontaneously and directionally. Besides, this spontaneous and directional motion was independent of the hydrophilicity and hydrophobicity of the conical surface. Aimed at this important phe...
Abstract: he low-order polynomial distributed eigenstrain formulation of boundary integral equation (BIE) and the corresponding definition of Eshelby tensors were proposed for elliptical-shaped inhomogeneities in a two-dimensional elastic medium. Taking the results from traditional sub-domain boundary element...
Abstract: A new, exact and universal conformal mapping was proposed. Using the Muskhelishvili's complex potential method, the plane elasticity problem of power function curved cracks with an arbitrary power of natural number was investigated and the general solutions of stress intensity factors (SIFs) for mod...
Abstract: The propagation of horizontally polarised shear waves in an internal magnetoelastic monoclinic stratum with irregularity in lower interface was studied. The stratum was sandwiched between two magnetoelastic monoclinic semi-infinite media. Dispersion equation was obtained in closed form. In absence o...
Abstract: The cavitation problem of composite ball, composed by two elastic solid materials and in uniformtemperature, was investigated. The nonlinear mathematical model of the problem was established by using finite logarithmic strain measure for geometric large deformation and by employing Hooke law for ela...
Abstract: The reflection and refraction of longit udinal wave at an interface between perfectly conducting non-viscous liquid half-space and a perfectly conducting microstretch elastic solid half-space was studied. The appropriate solutions of the governing equations were obtained in both the half-spaces whic...
Abstract: The helical equilibrium of a thin elastic rod has a practical background such as DNA, fiber, sub-ocean cable and oil-well dill string. The Kirchhoff's kinetic analogy is an effective approach in stability analysis of equilibrium of a thin elastic rod. The main hypotheses of Kirchhoff's theory includ...
Abstract: The reconditioning technique addresses the stiffness of low Mach number flow, while the stability was poor. Based on the conventional preconditioning method of Roe's scheme, a new low-diffusion scheme was proposed. An adjustable parameter was introduced to control the numerical dis-sipation in the n...
Abstract: Water exchange matrix is an efficient tool to study the water exchange among sub-areas in large-scale bays. The application of random walk method to calculate water exchange matrix was studied. Compared against the advection-diffusion model, the random walk model is more flexible to calculate the wa...
Abstract: Scattering of water waves by a vertical plate submerged in deep water covered with a thin uniform sheet of ice, modelled as an elastic plate was concerned. The problem was formulated in terms of a hypersingular integral equation by a suitable application of Green's integral theorem, in terms of diff...
Abstract: In this research the boundary layer integral method was used to investigate the development of turbulent swirling flow at the entrance region of a conical nozzle. The governing equations in the spherical coordinate system were simplified with the boundary layer assumptions and integrated through the...
Abstract: The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces was proved. Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces and the theory of functional equations were also...