The Experts below are selected from a list of 213 Experts worldwide ranked by ideXlab platform

Wei Lin - One of the best experts on this subject based on the ideXlab platform.

Youjian Shen - One of the best experts on this subject based on the ideXlab platform.

  • A wavelet-Galerkin method for a hypersingular integral equation system
    Complex Variables and Elliptic Equations, 2007
    Co-Authors: Youjian Shen, Wei Lin
    Abstract:

    In this article, we apply Hermite cubic spline multiwavelet to investigate the numerical solution of a linear integral equation system with Hadamard integrals which arise from the natural boundary method for the Plane Elasticity Problem in the upper half-Plane by the Galerkin method. In our algorithm the stiffness matrix is sparse generally. Two test examples are presented to illustrate our method.

  • the natural integral equations of Plane Elasticity Problem and its wavelet methods
    Applied Mathematics and Computation, 2004
    Co-Authors: Youjian Shen, Wei Lin
    Abstract:

    In this paper, we apply interpolatory Hermite-type trigonometric wavelet to investigate the numerical solution of the natural boundary integral equation of Plane Elasticity Problem by Galerkin method. In our fast algorithm, the computational formulae of entries of the stiffness matrix yield simple close-form and for one 2^j^+^3x2^j^+^3 stiffness matrix, we only need to compute 2(2^j^+^2+2^j-1) entries. The error estimates of the approximate solution are given and the test examples are presented in the end.

  • Wavelet Solution of Plane Elasticity Problem in the Upper Half-Plane
    Applicable Analysis, 2002
    Co-Authors: Youjian Shen
    Abstract:

    The Plane Elasticity Problem includes Plane strain Problem and Plane stress Problem which are widely applied in mechanics and engineering. In this article, we first reduce the Plane Elasticity Problem in the upper half-Plane into natural boundary integral equation and then apply wavelet-Galerkin method to deal with the numerical solution of the natural boundary integral equation. The test and trial functions used are the scaling basis functions of Shannon wavelet. In our fast algorithm, the computational formulae of entries of the stiffness matrix yield simple close-form and only 3 K entries need to be computed for one 4 K ‐ 4 K stiffness matrix.

  • wavelet algorithm for the numerical solution of Plane Elasticity Problem
    Lecture Notes in Computer Science, 2001
    Co-Authors: Youjian Shen, Wei Lin
    Abstract:

    In this paper, we apply Shannon wavelet and Galerkin method to deal with the numerical solution of the natural boundary integral equation of Plane Elasticity probem in the upper half-Plane. The fast algorithm is given and only 3 entries need to be computed for one 4K × 4K stiffness matrix.

  • WAA - Wavelet Algorithm for the Numerical Solution of Plane Elasticity Problem
    Wavelet Analysis and Its Applications, 2001
    Co-Authors: Youjian Shen, Wei Lin
    Abstract:

    In this paper, we apply Shannon wavelet and Galerkin method to deal with the numerical solution of the natural boundary integral equation of Plane Elasticity probem in the upper half-Plane. The fast algorithm is given and only 3 entries need to be computed for one 4K × 4K stiffness matrix.

Liliana Rybarska-rusinek - One of the best experts on this subject based on the ideXlab platform.

  • Plane Elasticity Problem for a multi-wedge system with a thin wedge
    International Journal of Solids and Structures, 2010
    Co-Authors: A. M. Linkov, Liliana Rybarska-rusinek
    Abstract:

    Abstract The paper presents a method for studying a system of elastic wedges containing a thin wedge with the angle Θ0, which may be arbitrary small. An analysis shows that the considered Problem, involving 2-D vectors of tractions and displacements, cannot be solved by straight-forward extension of the method previously worked out by the authors for analogous scalar Problems. The difficulty arises because of the disclosed feature of the dependences between the Mellin transformed displacements and tractions at the boundaries of a thin wedge: they are linearly dependent when their Taylor’s expansions in Θ0 are represented by the first terms only. The difficulty is removed by using the consequences of the linear dependence and by an appropriate re-arrangement of variables. Then simple physical models, simulating the influence of a thin wedge on a multi-wedge system, become available. The models cover the cases of a very rigid and very compliant thin wedge and also intermediate cases. The ranges of the models applicability are studied analytically and illustrated by numerical results.

Efstathios E Theotokoglou - One of the best experts on this subject based on the ideXlab platform.

  • the Plane Elasticity Problem of an isotropic wedge under normal and shear distributed loading application in the case of a multi material Problem
    International Journal of Solids and Structures, 2003
    Co-Authors: I H Stampouloglou, Efstathios E Theotokoglou
    Abstract:

    The Problem of a multi-material composite wedge under a normal and shear loading at its external faces is considered with a variable separable solution. The stress and displacement fields are determined using the equilibrium conditions for forces and moments and the appropriate Airy stress function. The infinite isotropic wedge under shear and normal distributed loading along its external faces is examined for different values of the order n of the radial coordinate r. The proposed solution is applied to the elastostatic Problem of a composite isotropic k-materials infinite wedge under distributed loading along its external faces. Applications are made in the case of the two-materials composite wedge under linearly distributed loading along its external faces and in the case of a three-materials composite wedge under a parabolically distributed loading along its external faces.

Hua Wang - One of the best experts on this subject based on the ideXlab platform.

  • Symplectic approach for the Plane Elasticity Problem of quasicrystals with point group 10 mm
    Applied Mathematical Modelling, 2015
    Co-Authors: Hua Wang, Junjie Huang, Alatancang Chen
    Abstract:

    Abstract The symplectic approach is introduced into the Plane Elasticity Problem of quasicrystals with point group 10 mm. The basic equations of the Problem are equivalently written as the Hamiltonian dual equations. It is shown that the generalized eigenvector system of the corresponding Hamiltonian operator matrix is complete in the Cauchy Principal Value (CPV) sense. The analytical solution and related numerical results of the Problem are then given.

  • On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm
    Abstract and Applied Analysis, 2014
    Co-Authors: Hua Wang, Jianrui Chen, Xiaoyu Zhang
    Abstract:

    The symplectic approach, the separation of variables based on Hamiltonian systems, for the Plane Elasticity Problem of quasicrystals with point group 12 mm is developed. By introducing appropriate transformations, the basic equations of the Problem are converted to two independent Hamiltonian dual equations, and the associated Hamiltonian operator matrices are obtained. The study of the operator matrices shows the feasibility of the method. Without any assumptions, the general solution is presented for the Problem with mixed boundary conditions.