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Keywords: initial value problems
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Journal Articles
Article Type: Technical Papers
J. Appl. Mech. November 2007, 74(6): 1114–1124.
Published Online: January 3, 2007
... . The mathematical model thus reduces to solution of a boundary value problem (BVP) in the transverse z direction in ODEs. This BVP is then transformed into a set of initial value problems (IVPs) so as to use the available efficient and effective numerical integrators for them. Through thickness displacement...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. March 2007, 74(2): 378–381.
Published Online: February 2, 2006
... . 30 09 2005 02 02 2006 cracks fracture mechanics elasticity Laplace transforms Fourier transforms initial value problems Fredholm integral equations Clearly, due to symmetry of the problem, attention may be restricted to the upper half-plane. Under the regular conditions...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2006, 73(4): 544–554.
Published Online: September 26, 2005
... (mechanical) initial value problems integral equations screw dislocations dislocation density Laplace transforms crack-edge stress field analysis 12 06 2005 26 09 2005 2006 American Society of Mechanical Engineers ...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. September 2001, 68(5): 814–816.
Published Online: March 13, 2001
... Division, Nov. 1, 2000; final revision, Mar. 13, 2001. Associate Editor: A. K. Mal. 01 Nov 2000 13 Mar 2001 bending initial value problems differential equations It is usually not possible to replace the nonlinear governing differential equations in terms of some linearized...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. March 2001, 68(2): 294–297.
Published Online: November 2, 2000
... a body force term due to van der Waals attractions. The governing equation for the film thickness was solved by finite difference method as part of an initial value problem for spatial periodic boundary conditions. A decrease in the cylinder radius will induce a stronger lateral capillary force and thus...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. March 2001, 68(2): 153–161.
Published Online: August 15, 2000
... Engineering, 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 . 03 February 2000 15 August 2000 wave propagation fluctuations inhomogeneous media initial value...