Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation, accounting for through-the-thickness deformations
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Koiter WT (1970) On the foundations of the linear theory of thin elastic shell. Proc Kon Nederl Akad Wetensch 73: 169–195
Naghdi PM (1956) A survey of recent progress in the theory of elastic shells. Appl Mech Rev 9: 365–368
Ren JG (1987) Exact solutions for laminated cylindrical shells in cylindrical bending. Compos Sci Technol 29: 169–187
Varadan TK, Bhaskar K (1991) Bending of laminated orthotropic cylindrical shells—an elasticity approach. Compos Struct 17: 141–156
Noor AK, Rarig PL (1974) Three-dimensional solutions of laminated cylinders. Comput Methods Appl Mech Eng 3: 319–334
Noor AK, Peters WS (1989) Stress, vibration and buckling of multilayered cylinders. J Struct Eng ASCE 115: 69–89
Noor AK, Peters WS (1989) A posteriori estimates for shear correction factors in multilayered composite cylinders. J Eng Mech ASCE 115: 1225–1245
Ye JQ, Soldatos KP (1994) Three-dimensional vibration of laminated cylinders and cylindrical panels with symmetric or antisymmetric cross-ply lay-up. Compos Eng 4: 429–444
Grigolyuk EI, Kulikov GM (1988) General direction of the development of the theory of shells. Mekhanica Kompozitnykh Materialov 2: 287–298
Kapania RK, Raciti S (1989) Recent advances in analysis of laminated beams and plates. AIAA J 27: 923–946
Noor AK, Burton WS (1989) Assessment of shear deformation theories for multilayered composite plates. Appl Mech Rev 41: 1–18
Noor AK, Burton WS (1990) Assessment of computational models for multilayered composite shells. Appl Mech Rev 43: 67–97
Noor AK, Burton WS, Bert CW (1996) Computational model for sandwich panels and shells. Appl Mech Rev 49: 155–199
Soldatos KP, Timarci T (1993) A unified formulation of laminated composites, shear deformable, five-degrees-of-freedom cylindrical shell theories. Compos Struct 25: 165–171
Reddy JN (1997) Mechanics of laminated composite plates, theory and analysis. CRC Press, Boca Raton
Hsu T, Wang JT (1970) A theory of laminated cylindrical shells consisting of layers of orthotropic laminae. AIAA J 8: 2141–2146
Cheung YK, Wu CI (1972) Free vibrations of thick, layered cylinders having finite length with various boundary conditions. J Sound Vib 24: 189–200
Sun CT, Whitney JM (1973) On the theories for the dynamic response of laminated plates. AIAA J 11: 372–398
Barbero EJ, Reddy JN, Teply JL (1990) General two-dimensional theory of laminated cylindrical shells. AIAA J 28: 544–553
Cho KN, Bert CW, Striz AG (1991) Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory. J Sound Vib 145: 429–442
Nosier A, Kapania RK, Reddy JN (1993) Free vibration analysis of laminated plates using a layer-wise theory. AIAA J 31: 2335–2346
Gaudenzi P, Barboni R, Mannini A (1995) A finite element evaluation of single-layer and multi-layer theories for the analysis of laminated plates. Compos Struct 30: 427–440
Carrera E (1998) Evaluation of layer-wise mixed theories for laminated plates analysis. AIAA J 36: 830–839
Carrera E (1998) Layer-wise mixed models for accurate vibration analysis of multilayered plates. J Appl Mech 65: 820–828
Carrera E (2003) Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking. Arch Comput Methods Eng 97: 10–215
Carrera E (1999) Multilayered shell theories accounting for layerwise mixed description. Part 1: governing equations. AIAA J 37(9): 1107–1116
Carrera E (1999) Multilayered shell theories accounting for layerwise mixed description. Part 2: numerical evaluations. AIAA J 37(9): 1117–1124
Carrera E (1999) A study of transverse normal stress effect on vibration of multilayered plates and shells. J Sound Vib 225(5): 803–829
Carrera E (1998) A Reissner’s mixed variational theorem applied to vibrational analysis of multilayered shell. J Appl Mech 66: 63–78
Dennis ST, Palazotto AN (1989) Transverse shear deformation in orthotropic cylindrical pressure vessels using a higher-order shear theory. AIAA J 27(10): 1441–1447
Merk J (1995) Hierarchische, Kontinuumbasiert Shalenelemente höhere Ordnung. PhD Dissertation, Institute for Statics and Dynamics, Universität Stuttgart, Stuttgart, Germany
Di S, Ramm E (1993) Hybrid stress formulation for higher-order theory of laminated shell analysis. Comput Method Appl Mech Eng 109: 359–376
Kansa EJ (1990) Multiquadrics: a scattered data approximation scheme with applications to computational fluid dynamics. I: Surface approximations and partial derivative estimates. Comput Math Appl 19(8/9): 127–145
Hon YC, Lu MW, Xue WM, Zhu YM (1997) Multiquadric method for the numerical solution of byphasic mixture model. Appl Math Comput 88: 153–175
Hon YC, Cheung KF, Mao XZ, Kansa EJ (1999) A multiquadric solution for the shallow water equation. ASCE J Hydraul Eng 125(5): 524–533
Wang JG, Liu GR, Lin P (2002) Numerical analysis of biot’s consolidation process by radial point interpolation method. Int J Solids Struct 39(6): 1557–1573
Liu GR, Gu YT (2001) A local radial point interpolation method (LRPIM) for free vibration analyses of 2-d solids. J Sound Vib 246(1): 29–46
Liu GR, Wang JG (2002) A point interpolation meshless method based on radial basis functions. Int J Numer Methods Eng 54: 1623–1648
Wang JG, Liu GR (2002) On the optimal shape parameters of radial basis functions used for 2-d meshless methods. Comput Methods Appl Mech Eng 191: 2611–2630
Chen XL, Liu GR, Lim SP (2003) An element free galerkin method for the free vibration analysis of composite laminates of complicated shape. Compos Struct 59: 279–289
Dai KY, Liu GR, Lim SP, Chen XL (2004) An element free galerkin method for static and free vibration analysis of shear-deformable laminated composite plates. J Sound Vib 269: 633–652
Liu GR, Chen XL (2002) Buckling of symmetrically laminated composite plates using the element-free galerkin method. Int J Struct Stab Dyn 2: 281–294
Liew KM, Chen XL, Reddy JN (2004) Mesh-free radial basis function method for buckling analysis of non-uniformity loaded arbitrarily shaped shear deformable plates. Comput Methods Appl Mech Eng 193: 205–225
Huang YQ, Li QS (2004) Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method. Comput Methods Appl Mech Eng 193: 3471–3492
Liu L, Liu GR, Tan VCB (2002) Element free method for static and free vibration analysis of spatial thin shell structures. Comput Methods Appl Mech Eng 191: 5923–5942
Xiang S, Wang KM, Ai YT, Sha YD, Shi H (2009) Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories. Compos Struct 91(1): 31–37
Xiang S, Shi H, Wang KM, Ai YT, Sha YD (2010) Thin plate spline radial basis functions for vibration analysis of clamped laminated composite plates. Eur J Mech A Solids 29: 844–850
Ferreira AJM, Roque CMC, Jorge RMN (2006) Analysis of composite and sandwich plate by trigonometric layer-wise deformation theory and radial basis function. J Sandwich Struct Mater 8: 497–515
Ferreira AJM (2003) A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates. Compos Struct 59: 385–392
Ferreira AJM (2003) Thick composite beam analysis using a global meshless approximation based on radial basis functions. Mech Adv Mater Struct 10: 271–284
Ferreira AJM, Roque CMC, Martins PALS (2003) Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method. Compos B 34: 627–636
Carrera E (2001) Developments, ideas, and evaluations based upon reissner’s mixed variational theorem in the modelling of multilayered plates and shells. Appl Mech Rev 54: 301–329
Carrera E (1996) C0 Reissner-Mindlin multilayered plate elements including zig-zag and interlaminar stress continuity. Int J Numer Methods Eng 39: 1797–1820
Carrera E, Kroplin B (1997) Zig-zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates. Mech Compos Mater Struct 4: 69–94
Carrera E (1998) Evaluation of layer-wise mixed theories for laminated plate analysis. AIAA J 36: 830–839
Hardy RL (1971) Multiquadric equations of topography and other irregular surfaces. Geophys Res 176: 1905–1915
Ferreira AJM, Fasshauer GE (2006) Computation of natural frequencies of shear deformable beams and plates by a rbf-pseudospectral method. Comput Methods Appl Mech Eng 196: 134–146
Reddy JN, Liu CF (1985) A higher-order shear deformation theory of laminated elastic shells. Int J Eng Sci 23: 319–330
Cinefra M, Carrera E, Nali P (2010) MITC technique extended to variable kinematic multilayered plate elements. Compos Struct 92: 1888–1895
Cinefra M, Chinosi C, Della Croce L (2011) MITC9 shell elements based on refined theories for the analysis of isotropic cylindrical structures. Mech Adv Mater Struct (in press)