... equations elasticity finite element analysis iterative methods laminates variational techniques extended Kantorovich method three-dimensional elasticity angle-ply composite flat panels Exact analytical solutions of partial differential equations (PDEs) involving bivariate functions...

... equations can be solved by either direct methods (such as the Gaussian elimination method) or iterative methods (such as the Gauss–Seidel method). The mixed formulation enjoys the strong geometry flexibility of the finite element method and the high accuracy, low computational efforts, and efficiency...

... Nanotubes Using Nanoindentation ,” Appl. Phys. Lett. 0003-6951 , 87 , p. 103109 . 10.1063/1.2012530 13 12 2008 08 10 2009 09 04 2010 09 04 2010 buckling carbon nanotubes elastic constants iterative methods molecular dynamics method point defects shear deformation...

... with cubic Hermitian interpolation functions is used to discretize the spatial domain. The DQ method is then employed to discretize the time domain. The resulting set of algebraic equations can be solved by either direct methods or iterative methods. It is revealed that the DQ method stands out in numerical...

... simulation iterative methods Navier-Stokes equations fluid-structure interaction added-mass effect compressible and incompressible flow subiteration The numerical simulation of the interaction of a flexible structure with a contiguous fluid flow is of critical importance to a multitude...

... two parallel instances of the code and exchanging information between them. Some numerical examples are presented. flow instability flow simulation computational fluid dynamics Navier-Stokes equations mesh generation boundary-value problems iterative methods Galerkin method...

... real values although the matrices with complex values are used on the right-hand sides of the two equations. Generally, starting vector and convergent rate are two important features of an iterative dynamic condensation approach. In the following the present iterative method will be compared...

... with the pulley, are retained, and belt inertia is included. Inclusion of the bending stiffness leads to nonuniform distribution of the tension and speed in the belt spans and alters the belt departure points from the pulley. Solutions for these quantities are obtained by a numerical iteration method...

... materials shear deformation thermoelasticity iterative methods Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS . Manuscript received by the Applied Mechanics Division, August 18, 2003; final...

... that the transformation matrices [R] and [S] are the same even for a symmetric structure is not valid. 10 10 2003 iterative methods vibrations damping matrix algebra eigenvalues and eigenfunctions I appreciate Zu-Qing Qu for the interest shown and for making useful comments on the contents...

...V. Sarin; A. H. Sameh The paper presents an algebraic scheme to construct hierarchical divergence-free basis for velocity in incompressible fluids. A reduced system of equations is solved in the corresponding subspace by an appropriate iterative method. The basis is constructed from the matrix...

... exponential rate at which the amplitudes of vibration decay is the localization factor. vibrations iterative methods perturbation theory elastic constants 06 August 2001 03 April 2002 23 01 2003 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY...

..., and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 07 October 2000 10 August 2001 16 08 2002 structural engineering eigenvalues and eigenfunctions iterative methods damping finite element analysis...

... of inelastic strains throughout their life. stress analysis internal stresses iterative methods finite element analysis creep structural engineering Fourier series 13 Jan 2001 06 Aug 2001 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL...

... ∞ , and τ xy ∞ are external loads uniformly distributed at infinity. elasticity stress analysis convergence of numerical methods iterative methods This paper is supported by the Chinese National Natural Science Foundation (No. 49772166). Howland , R. C. J...

... eigenvalues and eigenfunctions iterative methods Cables constitute an efficient means of supporting static loads and find increasing use as stay cables for, e.g., bridges and towers ( 1 ). However, the slenderness of the cables makes them prone to vibrations, either induced by direct loads...