The investigation aims at: (i) constructing a modified higher-order shear deformation theory in which Kirchhoff's hypotheses are relaxed, to allow for shear deformations; (ii) validating the present 5-parameter-smeared-laminate theory by comparing the results with exact solutions; and (iii) applying the theory to a specific problem of the postbuckling behavior of a flat stiffened fiber-reinforc...

We study excursions with jumps to nearest neighbors in different lattices (hexagonal, triangular, kagome, Manhattan lattices), paths in a strip, etc. We show that some families are algebraic, D-finite, and give some nice closed form formulas.

We consider two dimensional Grushin Schr\"odinger equation posed on a finite cylinder $\Omega=(-1,1)_x\times \T_y$ with Dirichlet boundary condition. obtain the sharp observability by any horizontal strip, optimal time $T_*>0$ depending size of strip. Consequently, we prove exact controllability for equation. By exploiting concentration eigenfunctions harmonic oscillator at $x=0$, also show tha...

A finite element program based on elastic –plastic model of Mohr-Coulomb criterion was used to evaluate the bearing capacity coefficients of soil under shallow strip flexible footing . The results were compared with others’ analytical results and it was found that the present study could offer quite consistent and rather precise values for the bearing capacity coefficients . The effect of d...

In this paper we present error estimates for the finite element approximation of linear elliptic problems in unbounded domains that are outside an obstacle and a semi-infinite strip in the plane. The finite element approximation is formulated on a bounded domain using a nonlocal approximate artificial boundary condition. In fact there is a family of approximate boundary conditions with increasi...

Modify the scatterer configuration of a planar, finitehorizon Lorentz process in a bounded domain. Sinai asked in 1981 whether for the diffusively scaled variant of the modified process convergence to Brownian motion still holds. The main result of the work answers Sinai’s question in the affirmative. Other types of local perturbations are also investigated: finite horizon periodic Lorentz proc...

2014 Exact calculations using transfer matrices on finite strips are performed to study the two-dimensional problem of one lattice animal with an attractive nearest neighbour interaction. Thermodynamic quantities such as specific heat, compressibility, thermal expansion are calculated. Finite size scaling with two strips of different widths yields very accurate approximations of the critical li...

We study both of the scattering and Cauchy problems for semilinear wave equation with a null quadratic form on Schwarzschild background. Prescribing data that are given by short pulse future infinity trivial event horizon, we construct class global solutions backwards up to any finite time show travels in such way almost all (large) energy is focusing an outgoing strip, while little radiates ou...

Liner is key parts of equipment of slab side pressing, its main function is supporting the weight of lateral pressure, and are under some impact pressure, which is impact force up to 2000 tons, it make liner frequent breakage in the process of working, an led to entire production line stop, seriously affect the yield and efficiency of hot rolled strip. In order to obtain the reasons of liner fr...