Abstract: Dynamical analysis revealed that for some nonlinear wave equations, loop-and inverted loop-soliton solutions are merely visual artifacts. So called loop-soliton solution consists of three solutions which is not one real solution. Whether or not there exist some nonlinear wave equations for which the...
Abstract: To address mode-Ⅲ crack problems under elastic-perfectly plastic condition, the matching procedures of the crack line analysis method was summarized and refined to give the general forms and formulation steps of plastic field, elastic-plastic boundary and elastic-plastic matching equations near the ...
Abstract: The mixed spectral method using generalized Laguerre functions for exterior problems of partial differential equations of fourth order was investigated. A mixed spectral scheme was provided for the stream function form of the Navier-Stokes equations outside a disc. Numerical results demonstrate the ...
Abstract: By comparison of the characteristics of existing models for long fatigue crack propagation rates, a new model called generalized passivation-lancet model for long fatigue crack propagation rates (GPLFCPR) and the general formula for characterizing the process of crack growth rates were put forward b...
Abstract: The fracture problems near interface crack tip for mode Ⅱ of double dissimilar orthotropic composite materials are studied. The mechanical models of interface crack for mode Ⅱ were given. By translating the governing equations into generalized bi-harmonic equations, the stress functions containing t...
Abstract: A differential polynomial characteristic set algorithm for the complete symmetry classification of (partial) differe ntial equations with some parameters was given, which made the solution of the complete symmetry classification problem for (partial) differential equations become direct and systemat...
Abstract: The influence of an exponential volume fraction law on the vibration frequencies of thin functionally graded cylindrical shells was studied. Material properties in the shell thickness direction were graded in a ccordance with the exponential law. Expressions for the strain-displacement and curvature...
Abstract: A mixture theory is developed for multicomponent micropolar porous media by combination of the hybrid mixture theory and micropolar continuum theory. This system was modeled as multicomponent micropolar elastic solids saturated with multicomponent micropolar viscous fluids. Balance equations were gi...
Abstract: Void closing from a spherical shape to a crack is investigated quantitatively in the present study. The constitutive relation of the void-free matrix was assumed to obey the Norton power law. A representative volume element (RVE) which includes matrix and void was employed and a Rayleigh-Ritz proced...
Abstract: The static electromagnetic fields were studied here based on the standard spaces of the physical presentation, and the modal equations of static electromagnetic fields for anisotropic media were deduced. By introducing a set of new potential functions of order 1, several novel theoretical results ar...
Abstract: A class of singularly perturbed initial boundary value problem for semilinear reaction diffusion equations with two parameters was considered. Under suitable conditions, using theory of differential inequalities, the existence and asymptotic behavior of solution for initial boundary value problem we...
Abstract: A successive approximation and smooth SQP method for mathematical programs with nonlinear complementarity constraints (MPCC) is described. A class of smooth programs to approximate the MPCC was introduced. Using an l1 penalty function, the line search assures the global convergence, while superlinea...
Abstract: It was proved the explicit compact difference scheme, which was proposed by Lin et al. (Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD. Applied Mathem atics and M echan ics, 2007, 28(7):843-852) has the same performance as the conventional ...
