The cutting is an important machining technology, in which is belong to nonlinear large deformation, involving material nonlinear, geometry nonlinear and original bug, the thermal energy coupling question, and the nonlinear boundary condition, and so on. For the processing of metal cutting, using the large-scale commercial finite element theory, the coupling finite element model is established ...

The nonlinear response of noninteracting sBlochd electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field signoring magnetic-field effectsd. The electronic Green’s functions, Wigner density of states, and time-varying current are all determined and analyzed. We study bot...

European options on coupon bonds are studied in a quantum field theory model of forward interest rates. A approximation scheme for finding the option price is developed based on the fact that the volatility of the forward interest rate is a small quantity. The field theory for the forward interest rates is in effect Gaussian, and when the payoff function for the coupon bonds option is included ...

This special session focuses on the dynamic properties of fluids and nonlinear waves arsing in systems such as Euler equations, kinetic equations, nonlinear Schrodinger equations, nonlinear wave equations etc. The main aspects include the global well-posedness of solutions, existence, stability/instability and nearby local qualitative structures of special states etc. The theory and the methods...

We study the effective third-order nonlinear susceptibility of a graded metal–dielectric composite film of anisotropic particles with weak nonlinearity by invoking the local field effects within the Maxwell–Garnett theory. We further numerically demonstrate that the film can serve as a novel optical material to produce a broad structure in both the linear and the nonlinear response and an enhan...

Based on the kinetic theory, the non-Abelian medium property of hot Quark-Gluon Plasma is investigated. The nonlinearity of the plasma comes from two aspects: The nonlinear wave-wave interaction and self-interaction of color field. The non-Abelian color permittivity is obtained by expanding the kinetic equations to third order. As an application, the nonlinear Landau damping rate and the nonlin...

Non-linear image reconstruction and signal analysis deal with complex inverse problems. To tackle such problems in a systematic way, I present information field theory (IFT) as a means of Bayesian, data based inference on spatially distributed signal fields. IFT is a statistical field theory, which permits the construction of optimal signal recovery algorithms even for nonlinear and non-Gaussia...

in this paper, we apply the laplace decomposition method to obtain a series solutions of the burgers-huxley and burgers-fisher equations. the technique is based on the application of laplace transform to nonlinear partial differential equations. the method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the...

in this paper the nonlinear bending analysis of thick functionally graded plates subjected to mechanical loading is studied. the formulation is derived based on the third-order shear deformation plate theory and von kármán type non-linearity. young’s modulus is assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. the principle of virtual wo...