... polynomial Chebyshev approximation convergence of numerical methods elasticity polynomial approximation series (mathematics) shapes (structures) stress analysis vibrations 16 09 2008 10 12 2009 31 03 2010 31 03 2010 2010 American Society of Mechanical Engineers ...

... on the dynamics involving mechanically and thermally-induced phase transformations and the hysteresis effects induced by such transformations are presented. Chebyshev approximation eigenvalues and eigenfunctions elastic hysteresis ferroelastic transitions Galerkin method Ginzburg-Landau theory...

... intensity factors, K III , are derived and numerical results are provided. 23 02 2007 27 02 2007 21 08 2008 Chebyshev approximation crack-edge stress field analysis elastic constants elasticity fracture mechanics functionally graded materials integro-differential equations...

... verify this solution and present new fundamental results relevant to the existing and emerging technologies. 18 12 2005 01 04 2006 multilayers laminates cracks elasticity deformation Fourier series boundary-value problems integral equations Chebyshev approximation polynomial...

... publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 23 July 2003 30 June 2004 15 03 2005 plates (structures) elasticity eigenvalues and eigenfunctions Chebyshev approximation polynomial approximation vibrations Eigenfrequency Elasticity Solution...

... field analysis fracture mechanics surface energy shear modulus boundary-value problems Fourier transforms integro-differential equations Chebyshev approximation 18 Oct 2000 06 Sep 2001 25 08 2003 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY...

... JOURNAL OF APPLIED MECHANICS . 07 September 2000 05 June 2001 11 06 2003 polynomials Chebyshev approximation partial differential equations laminates stress analysis elastic constants elasticity Shells have been widely applied to many engineering structural elements...

... laminates buckling Chebyshev approximation series (mathematics) structural engineering thermal stability thermal stresses The structural elements of certain advanced engineering structures are subjected to a periodic, intense thermal input, which generates a high level of structural vibrations...

... integral equations Chebyshev approximation polynomial approximation With the increasing usage of piezoelectric materials and composites as actuating and sensing devices in smart structures, where dynamic loading is dominant, much attention has been paid to their dynamic fracture behavior. Shindo...