TL;DR: In this article, a computational model is devised to study the contact dynamic characteristics of moving parts within an overall system, and a step-by-step iterative integration algorithm is used to solve the second order time dependent differential equations of motion.

TL;DR: In this article, numerical methods for the analysis of reinforced concrete and composite structures under fire conditions are presented based on the finite element method using beam elements with subdivision of the cross-section in a rectangular mesh.

TL;DR: In this paper, the boundary element method is applied to analyse plates resting on Winkler-type elastic foundations, and the results of the numerical method are presented and compared with the respective analytical solutions.

TL;DR: In this article, boundary integral equations for the steady-state flow of an incompressible viscous fluid in two and three dimensions are presented, where the Navier-Stokes equations are transformed into the integral equations by the method of weighted residuals.

TL;DR: In this paper, a numerical method for analyzing elastic wave scattering from surface and near-surface inhomogeneities in a half space is presented, and the feasibility of this method is investigated by solving the problems of out-of-plane shear wave (SH wave) fields, and its applications to the seismic responses of canyons, tunnels, and trenches are shown.

TL;DR: In this article, a nouvelle methode for resoudre la conduction thermique en regime permanent avec conductivite and coefficient de transfert de chaleur aleatoires is proposed.

TL;DR: In this article, the stability and accuracy of regular boundary element (R-BE) solutions for convective diffusion equations are investigated. But the stability of R-BE solutions is not evaluated.

TL;DR: In this article, the transformation of a class of non-linear two-point boundary value problems into integral equations is presented by means of integration procedure and two expressions by the integral equation are given based on the derivation from the original differential equation and the canonical pair of the original one.

TL;DR: The boundary integral formulation of micropolar thermoelasticity problems is presented in this article, where the boundary integral representation is given generally in the Laplace transform domain and when the time-dependent fundamental solutions are available that is given in time domain as well.

TL;DR: The Complex Variable Boundary Element Methods provides a measure of relative error which can be utilized to subsequently reduce the error or provide information for further modeling analysis.

TL;DR: In this paper, an improved numerical solution of the boundary integro-differential equations is presented, which is used to calculate the stress intensity factor for a penny-shaped crack under uniform tensile stress.

TL;DR: In this article, the influence of imposed normal stresses on velocity profiles in the boundary layer along a flat plate and a wedge is investigated numerically using the Criminale-Ericksen-Filbey (CEF) equation and the Ostwald-de Waele power law.

TL;DR: In this article, the Boundary Element Method is applied for the solution of axisymmetric problems in Biot's linear consolidation theory and the efficiency of the boundary element method in the modelling of test pieces under the laboratory conditions of triaxial K 0 and isotropic compression is presented.

TL;DR: In this article, the Green's function solutions for a point load in an infinite elastic media containing a crack are used to determine specialized kernels for the governing integral equation, and multiple crack problem solutions are obtained by enclosing each crack in an individual region.

TL;DR: In this paper, the boundary integral formulation of solution of transient dynamic problems of thermoelasticity has been studied, and an alternative approach in respect to the current formulations in the Laplace transform domain and in the time domain has been taken, resulting in a system of ordinary differential equations for the time dependent unknowns at boundary nodal points.

TL;DR: In this article, the transformation of surface integrals into contour integrals in 2D problems leads to more accurate surface integration with fewer integration points, and the authors present how the transformation leads to better surface integration.

TL;DR: In one-dimensional linear processes governed by parabolic partial differential equations the monitoring permits simultaneously correcting the results of a powerful numerical method which however does not always converge to the exact answer.

TL;DR: It is shown that allowing the side and interior nodes of a quadratic Lagrangian element to remain at the same relative positions with respect to the corner node in local and global space provides significant computational advantages compared to the standard isoparametric transformation which centers these nodes in local space.

TL;DR: The Complex Variable Boundary Element Method (CVBEM) as discussed by the authors provides a highly accurate means of developing numerical solutions to steady state two-dimensional heat transfer problems by means of collocation.

TL;DR: In this paper, the authors studied the numerical integration of the (1n r ) function in the vicinity of the singularity using the Gauss-Legendre method and the analytical one.

TL;DR: In this article, the analytical and numerical behavior of adiabatic shearing flows of viscoelastic fluids with temperature dependent viscosity, under several types of boundary conditions and an ‘oscillatory’ inertial force, were studied.

TL;DR: In this paper, the authors present three alternatives to the classical velocity potential formulation for inviscid flows with strong shocks: a modified potential, a transonic stream function formulation and a combination that approximates the Euler set of equations.

TL;DR: The authors developed a procedurs for using measured displacement data with Boundary Integral Equation method through the use of least squares, which is tested and results given in the analysis is tested.

TL;DR: In this paper, the mixed axisymmetric problem of elasticity theory on the torsion of a finite cylindrical rod with various cross-section by a stamp is considered.

TL;DR: In this article, a new simple method for improving the results for inner points in potential problems as well as in elastostatic problems is presented, where the inner points are obtained by a simple method.