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Keywords: iterative methods
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Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2011, 78(1): 011020.
Published Online: October 26, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2010, 77(4): 041006.
Published Online: April 9, 2010
... 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...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Stabilized, Multiscale, And Multiphysics Methods In Fluid Mechanics
J. Appl. Mech. March 2009, 76(2): 021206.
Published Online: January 15, 2009
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2006, 73(6): 1017–1025.
Published Online: February 28, 2006
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2005, 72(5): 761–771.
Published Online: May 23, 2005
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2005, 72(1): 25–34.
Published Online: February 1, 2005
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2004, 71(6): 839–850.
Published Online: January 27, 2005
... 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...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2003, 70(1): 44–49.
Published Online: January 23, 2003
...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 Articles
Publisher: ASME
Article Type: Additional Technical Papers
J. Appl. Mech. January 2003, 70(1): 119–128.
Published Online: January 23, 2003
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2002, 69(5): 610–616.
Published Online: August 16, 2002
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2002, 69(2): 148–153.
Published Online: August 6, 2001
... 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...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. March 2001, 68(2): 350–353.
Published Online: September 20, 2000
.... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. December 2000, 67(4): 772–776.
Published Online: May 2, 2000
..., 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...