1 |
Liew, K.M., Huang, Y.Q. and Reddy, J.N. (2003), "Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method", Comput. Meth. Appl. Mech. Eng., 192(19), 2203-2222.
DOI
ScienceOn
|
2 |
Liu, G.R., Nguyen-Thoi, T. and Lam, K.Y. (2008), "An edge-based smoothed finite element method (ES-FEM) for static and dynamic problems of solid mechanics", J. Sound Vib., 320, 1100-1130.
|
3 |
Malekzadeh, P. and Karami, G. (2005), "Polynomial and harmonic differential quadrature methods for free vibration of variable thickness thick skew plates", Eng. Struct., 27(10), 1563-1574.
DOI
ScienceOn
|
4 |
Malekzadeh, P. (2008), "Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT", Compos. Struct., 83(2), 189-200.
DOI
ScienceOn
|
5 |
Mindlin, R.D. (1951), "Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates", J. Appl. Mech., 18(1), 31-38.
|
6 |
Ming, P.G. and Song, L.F. (1987), "A new element used in the non-orthogonal boundary plate bending theory - an arbitrary quadrilateral element", Int. J. Numer. Meth. Eng., 24, 1031-1042.
DOI
ScienceOn
|
7 |
Mizusawa, T. and Kondo, Y. (2001), "Application of the spline element method to analyze vibration of skew Mindlin plates with varying thickness in one direction", J. Sound Vib., 241(3), 485-501.
DOI
ScienceOn
|
8 |
Mizusawa, T., Wada, H. and Nagino, H. (2007), "Free vibration analysis of skew Mindlin plates by the BFspline Ritz method", JSCE J. Appl. Mech., 10, 109-119. (in Japanese)
DOI
|
9 |
Monforton, G.R. and Schmit, L.A. (1968), "Finite element analysis of skew plates in bending (Skew parallelogram plates bending analyzed by finite element method, discussing stiffness and mass matrices application)", AIAA J., 6, 1150-1152.
DOI
|
10 |
Morley, L.S.D. (1962), "Bending of a simply supported rhombic plate under uniform normal loading", The Quarterly Journal of Mechanics and Applied Mathematics, 15(4), 413-426.
DOI
|
11 |
Morley, L.S.D. (1963), Skew Plates and Structures, Pergamon Press, New York.
|
12 |
Muhammad, T. and Singh, A.V. (2004), "A p-type solution for the bending of rectangular, circular, elliptic and skew plates", Int. J. Solids Struct., 41(15), 3977-3997.
DOI
ScienceOn
|
13 |
Nguyen-Xuan, H., Rabczuk, T., Bordas, S. and Debongnie, J.F. (2008), "A smoothed finite element method for plate analysis", Comput. Meth. Appl. Mech. Eng., 197(13-16), 1184-1203.
DOI
ScienceOn
|
14 |
Nguyen-Xuan, H., Liu, G.R., Thai-Hoang, C. and Nguyen-Thoi, T. (2010), "An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates", Comput. Meth. Appl. Mech. Eng., 199(9-12), 471-489.
DOI
ScienceOn
|
15 |
Ramadoss, P. and Nagamani, K. (2009), "Behavior of high-strength fiber reinforced concrete plates under inplane and transverse loads", Struct. Eng. Mech., 31(4), 371-382.
DOI
|
16 |
Ramesh, S.S., Wang, C.M., Reddy, J.N. and Ang, K.K. (2008), "Computation of stress resultants in plate bending problems using higher-order triangular elements", Eng. Struct., 30, 2687-2706.
DOI
ScienceOn
|
17 |
Ramesh, S.S., Wang, C.M., Reddy, J.N. and Ang, K.K. (2009), "A higher-order plate element for accurate prediction of interlaminar stresses in laminated composite plates", Compos. Struct., 91(3), 337-357.
DOI
ScienceOn
|
18 |
Razaqpur, A.G., Nofal, M. and Vasilescu, A. (2003), "An improved quadrilateral finite element for analysis of thin plates", Finite Elem. Analy. Des., 40(1), 1-23.
DOI
ScienceOn
|
19 |
Reddy, J.N. (2007), Theory and Analysis of Elastic Plates and Shells, CRC Press, Taylor & Francis.
|
20 |
Reissner, E. (1945), "The effect of transverse shear deformation on the bending of elastic plates", J. Appl. Mech., 12, A69-A77.
|
21 |
Sengupta, D. (1991), "Stress analysis of flat plates with shear using explicit stiffness matrix", Int. J. Numer. Meth. Eng., 32, 1389-1409.
DOI
|
22 |
Sengupta, D. (1995), "Performance study of a simple finite element in the analysis of skew rhombic plates", Comput. Struct., 54(6), 1173-1182.
DOI
ScienceOn
|
23 |
Wang, G. and Hsu, C.T.T. (1994), "Static and dynamic analysis of arbitrary quadrilateral flexural plates by B3-spline functions", Int. J. Solids Struct., 31(5), 657-667.
DOI
|
24 |
Szilard, R. (2004), Theories and Applications of Plate Analysis, John Wiley & Sons, Inc., Hoboken, New Jersey.
|
25 |
Tham, L.G., Li, W.Y., Cheung, Y.K. and Chen, M.J. (1986), "Bending of skew plates by spline-finite-strip method", Comput. Struct., 22(1), 31-38.
DOI
ScienceOn
|
26 |
Timoshenko, S.P. and Woinowsky-Krieger, S. (1959), Theory of Plates and Shells (2nd edition), Engineering Societies Monographs, McGraw-Hill, New York.
|
27 |
Cheung, Y.K. and Tham, L.G. (1998), Finite Strip Method, CRC Press, Boca Raton.
|
28 |
Argyris, J.H. (1965), "Continua and discontinua", Proceedings of Conference on Matrix Methods in Structural Mechanics, Wright-Pat-terson Air Force Base, Ohio.
|
29 |
Butalia, T.S., Kant, T. and Dixit, V.D. (1990), "Performance of heterosis element for bending of skew rhombic plates", Comput. Struct., 34(1), 23-49.
DOI
ScienceOn
|
30 |
Carstensen, C., Xie, X., Yu, G. and Zhou, T. (2010), "A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates", Comput. Meth. Appl. Mech. Eng., 200(9-12), 1161-1175.
|
31 |
Gangarao, H.V.S. and Chaudhary, V.K. (1998), "Analysis of skew and triangular plates in bending", Comput. Struct., 28(2), 223-235.
|
32 |
Civalek, O. (2009), "A four-node discrete singular convolution for geometric transformation and its application to numerical solution of vibration problem of arbitrary straight-sided quadrilateral plates", Appl. Math. Model., 33(1), 300-314.
DOI
ScienceOn
|
33 |
Dawe, D.J. (1966), "Parallelogrammic elements in the solution of rhombic cantilever plate problems", J. Strain Anal. Eng. Des., 1(3), 223-230.
DOI
|
34 |
De Veubeke, B.F. and Sander, G. (1967), "An equilibrium model for plate bending", Int. J. Solids Struct., 4(4), 447-468.
|
35 |
Garcea, G., Madeo, A., Zagari, G. and Casciaro, R. (2009), "Asymptotic post-buckling FEM analysis using corotational formulation", Int. J. Solids Struct., 46(2), 377-397.
DOI
ScienceOn
|
36 |
Gurses, M., Civalek, O., Korkmaz, A.K. and Ersoy, H. (2009), "Free vibration analysis of symmetric laminated skew plates by discrete singular convolution technique based on first-order shear deformation theory", Int. J. Numer. Meth. Eng., 79(3), 290-313.
DOI
ScienceOn
|
37 |
Hangai, Y. (1995), Fundamental Theory of Plates, Shokokusha, Tokyo. (in Japanese)
|
38 |
Hencky, H. (1947), "Dber die Berficksichtigung der Schubverzerrungen in ebenen Platten", Ingenieur-Archiv, 16, 72-76
DOI
ScienceOn
|
39 |
Jirousek, J. (1987), "Hybrid-Trefftz plate bending elements with p-method capabilities", Int. J. Numer. Meth. Eng., 24, 1367-1393.
DOI
ScienceOn
|
40 |
Liao, H.W. and Huang, H.Y. (2008), "Buckling and postbuckling analyses of a skew plate", J. Mech., 24(4), 347-355.
DOI
|
41 |
Liew, K.M. and Han, J.B. (1997), "Bending analysis of simply supported shear deformable skew plates", J. Eng. Mech., 123(3), 214-221.
DOI
ScienceOn
|