Abstract: The Chinese traditional mathematics, with the Chinese traditional culture as the background and characterized by mechanization and Tao (principle and law) of mathematics, once made glorious achievements. These ideas, used in the fields such as the computer science, the soliton theory and the quantum...
Abstract: The wave lengths of smooth periodic traveling wave solutions to the Vakhnenko equation were studied. The Vakhnenko equation was reduced to a planar polynomial differential system through the transformation of variables. The polynomial differential system was treated with the critical period bifurcat...
Abstract: A class of nonlinear singularly perturbed burning models with two parameters were discussed. Firstly, the outer solution to the burning model was constructed with the perturbation method. Secondly, through the introduction of a stretched variable, the initial layer correction term of the solution to...
Abstract: With the complex variable method, 2 kinds of periodic contact problems (the frictionless and the adhesive periodic contact problems) of 1D hexagonal quasicrystals in the aperiodic plane were discussed. Based on the Hilbert kernel integral formula, the closed-form solutions were obtained to the 2 kin...
Abstract: The dual synchronization of fractional-order chaotic systems is a new method of synchronization. There was few study on the dual projective synchronization of fractional-order chaotic systems. With a linear signal, the dual projective synchronization of fractional-order chaotic systems was investiga...
Abstract: In view of gas seepage and effect of desorption, shale compressibility and slippage effect, the full coupling mathematical model for production of the fracture system in shale gas reservoirs was established. The matrix and fracture flow field was solved with the finite element method. The simulation...
Abstract: The peridynamic theory was first introduced, then 2 examples of highspeed crack propagating and branching phenomena were given and investigated. The effects of peridynamic parameters including the neighbourhood radius and the grid spacing, and such external parameters as the material elastic modulu...
Abstract: A 2D mechanical analysis was performed on an infinite plate containing a circular hole with two collinear edge cracks of unequal lengths, under uniformly distributed shear load at infinity. Based on the complex variable function method, the analytic solutions of stress functions and stress intensity...
Abstract: Characteristics ofJfar(0),Jfar(a),Jfar(a)-Jfar(0)andJtip were analyzed for ceramic laminates under bending loads based on the J-integral theory. HereJfar(0) andJfar(a) were the far-fieldJ-integrals corresponding to crack lengths 0 and a respectively. The crack was perpendicular to the interfaces. A ...
Abstract: Based on the theory of elasticity for inhomogeneous media, the spectral compositions of operators and the Vieta’s theorem of algebra were applied, and the bending-tension coupling problem of plates of functionally graded material (FGM) was investigated. The refined equations for FGM plates under ben...
Abstract: In order to study the coagulation mechanism for indoor fine particles, the number of particles colliding with walls and the collision probability between particles were calculated based on the idea of statistical mean and random motion of particles. The collision results were also studied with the q...
