... 2011 22 08 2011 22 08 2011 bending convergence of numerical methods differential algebraic equations elasticity finite element analysis iterative methods laminates variational techniques extended Kantorovich method three-dimensional elasticity angle-ply composite flat...

... 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...

... stiffness is sufficiently large. buckling carbon nanotubes elastic constants iterative methods molecular dynamics method point defects shear deformation van der Waals forces buckling nanotube nonlocal shell model higher order shear deformable shell theory temperature-dependent properties...

... 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...

... of cardiovascular disorders, such as vulnerable plaques and aneurysms in biomechanics ( 3 4 ). The basic iterative method for solving fluid-structure-interaction problems is subiteration. In the subiteration method, the fluid and solid subproblems are solved alternatingly, subject to complementary partitions...

... fluid dynamics Navier-Stokes equations mesh generation boundary-value problems iterative methods Galerkin method Free surface flows are very common in engineering problems. They include, for instance, the sloshing case which appears in vehicle, ship, or aerospace engineering, when the back...

... condensation matrix used in iterative method I, the accuracy is generally very low. Most of the relative errors are greater than 1. Fortunately, the low accuracy of initial approximation does not affect the convergence. The accuracy of the initial approximation based on Guyan condensation matrix, used...

... 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...

... compounds ceramics buckling functionally graded materials shear deformation thermoelasticity iterative methods Laminated composite plate structures, including those made of inhomogeneous functionally graded materials (FGMs) and characterized by a smooth and continuous change in both...

...G. V. Rao 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 of my paper. The reduced order matrices M R and K...

... iterative methods perturbation theory elastic constants Furstenberg , H. , 1963 , “ Noncommuting Random Products ,” Trans. Am. Math. Soc. , 108 , No. ( 3 ), pp. 377 – 428 . Oseledec , Y. I. , 1968 , “ A Multiplicative Ergodic Theorem. Lyapunov Characteristic Number for Dynamical...

...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...

... JOURNAL OF APPLIED MECHANICS . 07 October 2000 10 August 2001 16 08 2002 structural engineering eigenvalues and eigenfunctions iterative methods damping finite element analysis For eigensolution and response analysis of large structural systems, use of the complete...

... 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 ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS...

.... Associate Editor: J. R. Barber. 22 Mar 2000 20 Sept 2000 elasticity stress analysis convergence of numerical methods iterative methods There are a large number of papers in plane elastostatics dealing with regions containing two circular holes ( 1 2 3 4 ). It seems...

..., University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 12 August 1999 02 May 2000 vibrations damping eigenvalues and eigenfunctions iterative methods Cables...