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Keywords: Chebyshev approximation
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2010, 77(4): 041002.
Published Online: March 31, 2010
... Thick-Walled Isotropic Toroidal Shells ,” Int. J. Mech. Sci. 0020-7403 , 47 , pp. 277 – 292 . 10.1016/j.ijmecsci.2004.12.004 Chebyshev approximation convergence of numerical methods elasticity polynomial approximation series (mathematics) shapes (structures) stress analysis...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2010, 77(3): 031015.
Published Online: February 24, 2010
... Reduction for Compressible Flows Using POD and Galerkin Projection ,” Physica D 0167-2789 , 189 , pp. 115 – 129 . 10.1016/j.physd.2003.03.001 Chebyshev approximation eigenvalues and eigenfunctions elastic hysteresis ferroelastic transitions Galerkin method Ginzburg-Landau theory...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061015.
Published Online: August 21, 2008
... pertinent to the solution of the problem. Chebyshev approximation crack-edge stress field analysis elastic constants elasticity fracture mechanics functionally graded materials integro-differential equations polynomial approximation shear modulus We split K ( ξ , y ) into...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. January 2007, 74(1): 128–143.
Published Online: April 1, 2006
... boundary-value problems integral equations Chebyshev approximation polynomial approximation A unidirectional composite layer rotated by an angle about axis perpendicular to its plane Geometry of the finite multilayered media with multiple aligned cracks A finite-dimension layer...
Journal Articles
Article Type: Article
J. Appl. Mech. March 2005, 72(2): 227–236.
Published Online: March 15, 2005
... and eigenfunctions Chebyshev approximation polynomial approximation vibrations Eigenfrequency Elasticity Solution Mixed Boundary Conditions R-Function Ritz Method Thick Rectangular Plate Three-Dimensional Vibration 23 July 2003 30 June 2004 15 03 2005...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2003, 70(4): 531–542.
Published Online: August 25, 2003
... graded materials crack-edge stress field analysis fracture mechanics surface energy shear modulus boundary-value problems Fourier transforms integro-differential equations Chebyshev approximation 1 Functionally graded material (FGM) with continuously graded microstructure 2 Mode...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. May 2003, 70(3): 391–403.
Published Online: June 11, 2003
... To whom correspondence should be addressed. polynomials Chebyshev approximation partial differential equations laminates stress analysis elastic constants elasticity 1 By Eq. ( 42 ), A ij , B ij , and D ij ( i , j = 1 , 2...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2002, 69(5): 684–692.
Published Online: August 16, 2002
... laminates buckling Chebyshev approximation series (mathematics) structural engineering thermal stability thermal stresses 1 Geometry of laminated plate 2 Central displacement response for antisymmetric angle-ply [45/-45/45/-45] square SSSS plate ( a / h = 20 , Material B...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. May 2002, 69(3): 244–253.
Published Online: May 3, 2002
... Laplace Transform by Using Jocabi Polynomials ,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. , 3 , pp. 624 – 635 . crack-edge stress field analysis piezoelectric materials mechanical contact integral equations Chebyshev approximation polynomial approximation 1 Geometric...