This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory. The governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. The Trefftz method employs the complete set of solu...

This paper deals with the coupled procedure of the boundary element method (BEM) and the finite element method (FEM) for the exterior boundary value problems for the Helmholtz equation. A circle is selected as the common boundary on which the integral equation is set up with Fourier expansion. As a result, the exterior problems are transformed into nonlocal boundary value problems in a bounded ...

In this work we study the numerical solution of the Dirichlet problem for the Stokes equation by overlapping boundary and finite elements. The domain where we state our problem is the intersection of a polyhedron with the exterior of a strictly contained obstacle with smooth boundary. The solution is then decoupled as a sum of an incident flow, defined on the polyhedron domain plus the response...

ABSTRACT Fluid-loaded nested cylindrical shells are modelled using a doubled-walled cylindrical shell structure closed at each end by circular end plates and excited by a transverse force at one end. The effects of various influencing factors on the radiated sound power are examined corresponding to non-concentricity of the cylindrical shells, entrained fluid and rib connections in the annular ...

In this paper, we describe a new hybrid method which combines the boundary element method (BEM) and the nite element method (FEM) to calculate the circuit models for layout dependent capacitances in VLSI circuits. The hybrid method which we present does more than solving a particular eld problem, it produces a good physical circuit model for the interface between the regions where the BEM and t...

The vector Boundary Element Method (vBEM) is used for the calculation of a matrix that links the tangential components of the current density on the cortical and scalp surface. This so-called transfer matrix is compared to the transfer matrix that links the potential distribution on both surfaces. Forward and inverse calculations are performed to evaluate both types of transfer matrices. Keywor...

A Regular Indirect Boundary Element formulation is developed following a weighted residual approach. In this formulation, the fictitious source density, which appears in the integral equations of the method, is distributed on a surface which is exteriorly separated from the physical field boundary of the problem. This approach does not require the evaluation of singular integrals and produces u...

This paper presents a Galerkin boundary element method for solving crack problems governed by potential theory in nonhomogeneous media. In the simple boundary element method, the nonhomogeneous problem is reduced to a homogeneous problem using variable transformation. Cracks in heat conduction problem in functionally graded materials are investigated. The thermal conductivity varies parabolical...

1 Postdoctoral associate, Solid Mechanics Laboratory (UMR CNRS 7649), Ecole Polytechnique, Palaiseau, France 2 EADS Innovation Works, Toulouse, France, {laurent.chambon,damien.crozes}@eads.net 3 Department of Structural Engineering, Politecnico di Milano, Milan, Italy, [email protected] 4 Solid Mechanics Laboratory (UMR CNRS 7649), Ecole Polytechnique, Palaiseau, France, [email protected]...

We present a new real-time method that can animate a moving elastic object that could collide with other objects in a virtual environment. For simulating physical motions of elastic objects, we exploit a Boundary Element Method (BEM), which can achieve efficient computations and desired deformation as opposed to spring models and a Finite Element Method. In case that real-time processes are req...