journal article·2013-12

A simple first-order shear deformation theory for laminated composite plates

Huu-Tai Thai, Dong-Ho Choi

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Abstract

Abstract In this paper, a simple first-order shear deformation theory is presented for laminated composite plates. Unlike the existing first-order shear deformation theory, the present one contains only four unknowns and has strong similarities with the classical plate theory in many aspects such as equations of motion, boundary conditions, and stress resultant expressions. Equations of motion and boundary conditions are derived from Hamilton’s principle. Analytical solutions of simply supported antisymmetric cross-ply and angle-ply laminates are obtained and the results are compared with the exact three-dimensional (3D) solutions and those predicted by existing theories. Comparison studies show that this new first-order shear deformation theory can achieve the same accuracy of the existing first-order shear deformation theory which has more number of unknowns.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis · Structural Analysis and Optimization

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (75)

Show source-provided references
1. A review of refined shear deformation theories of isotropic and anisotropic laminated plates10.1177/073168402128988481 ↗
2. The development of laminated composite plate theories: a review10.1007/s10853-012-6329-y ↗
3. An efficient meshfree method for vibration analysis of laminated composite plates10.1007/s00466-011-0591-8 ↗
4. Free vibration and buckling analysis of laminated composite plates using the NURBS-based isogeometric finite element method10.1016/j.compstruct.2012.01.012 ↗
5. Analysis of heterogeneous anisotropic plates10.1115/1.3564618 ↗
6. The effect of transverse shear deformation on the bending of elastic plates10.1115/1.4009435 ↗
7. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates10.1115/1.4010217 ↗
8. A displacement-based finite element formulation for the analysis of laminated composite plates10.1016/j.compstruct.2012.08.029 ↗
9. Bending and vibration responses of laminated composite plates using an edge-based smoothing technique10.1016/j.enganabound.2011.01.007 ↗
10. A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates10.1016/S0263-8223(02)00239-8 ↗
11. A high order collocation method for the static and vibration analysis of composite plates using a first-order theory10.1016/j.compstruct.2008.09.006 ↗
12. Analysis of natural frequencies of composite plates by an RBF-pseudospectral method10.1016/j.compstruct.2005.12.004 ↗
13. Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions10.1016/j.cma.2004.11.004 ↗
14. Natural frequencies of FSDT cross-ply composite shells by multiquadrics10.1016/j.compstruct.2005.07.009 ↗
15. A simple higher-order theory for laminated composite plates10.1115/1.3167719 ↗
16. A n-order shear deformation theory for free vibration of functionally graded and composite sandwich plates10.1016/j.compstruct.2011.05.022 ↗
17. A simple finite element formulation of a higher-order theory for unsymmetrically laminated composite plates10.1016/0263-8223(88)90015-3 ↗
18. A higher-order theory for free vibration of unsymmetrically laminated composite and sandwich plates-finite element evaluations10.1016/0045-7949(89)90414-8 ↗
19. A higher-order facet quadrilateral composite shell element10.1002/(SICI)1097-0207(19971230)40:24<4477::AID-NME229>3.0.CO;2-3 ↗
20. A simple higher-order theory for laminated composite plates10.1115/1.3167719 ↗
21. A higher-order theory of plate deformation, part 2: laminated plates10.1115/1.3424155 ↗
22. Finite element transient dynamic analysis of isotropic and fibre reinforced composite plates using a higher-order theory10.1016/0263-8223(88)90051-7 ↗
23. An efficient standard plate theory10.1016/0020-7225(91)90165-Y ↗
24. Analytical solution for bending of cross-ply laminated plates under thermo-mechanical loading10.1016/j.compstruct.2003.11.012 ↗
25. Analysis of composite plates by trigonometric shear deformation theory and multiquadrics10.1016/j.compstruc.2005.04.002 ↗
26. Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations10.1016/j.compositesb.2011.01.031 ↗
27. A transverse shear deformation theory for homogeneous monoclinic plates10.1007/BF01176650 ↗
28. Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories10.1016/j.compstruct.2009.04.029 ↗
29. Two new hyperbolic shear displacement models for orthotropic laminated composite plates10.1007/s11029-010-9140-3 ↗
30. A new inverse hyperbolic shear deformation theory for static and buckling analysis of laminated composite and sandwich plates10.1016/j.compstruct.2012.08.012 ↗
31. Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity10.1016/S0020-7683(02)00647-9 ↗
32. A new shear deformation theory for laminated composite plates10.1016/j.compstruct.2008.07.008 ↗
33. Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher-order shear deformation theory10.1016/j.compstruct.2011.07.020 ↗
34. A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates10.1016/j.ijsolstr.2011.09.008 ↗
35. A new higher order shear deformation theory for sandwich and composite laminated plates10.1016/j.compositesb.2011.07.017 ↗
36. A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates10.1016/j.compstruct.2013.02.019 ↗
37. Response of elastic columns to axial pulse loading10.2514/3.2000 ↗
38. Flexure of composite plates10.1016/0263-8223(87)90027-4 ↗
39. Buckling of shear-deformable plates10.2514/3.48742 ↗
40. Refined plate theory and its variants10.2514/2.1622 ↗
41. Static behavior of composite beams using various refined shear deformation theories10.1016/j.compstruct.2012.02.010 ↗
42. Vibration and buckling of composite beams using refined shear deformation theory10.1016/j.ijmecsci.2012.06.001 ↗
43. Free vibration of axially loaded rectangular composite beams using refined shear deformation theory10.1016/j.compstruct.2012.05.012 ↗
44. Axial-flexural coupled vibration and buckling of composite beams using sinusoidal shear deformation theory10.1007/s00419-012-0707-4 ↗
45. A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates10.1016/j.apm.2012.08.008 ↗
46. Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories10.1016/j.ijmecsci.2012.05.014 ↗
47. A simple quasi-3D sinusoidal shear deformation theory for functionally graded plates10.1016/j.compstruct.2012.11.030 ↗
48. A simple higher-order shear deformation theory for bending and free vibration analysis of functionally graded plates10.1016/j.compstruct.2012.08.025 ↗
49. Analytical solution of a two variable refined plate theory for bending analysis of orthotropic Levy-type plates10.1016/j.ijmecsci.2011.11.007 ↗
50. Levy-type solution for free vibration analysis of orthotropic plates based on two variable refined plate theory10.1016/j.apm.2011.11.003 ↗
51. Levy-type solution for buckling analysis of orthotropic plates based on two variable refined plate theory10.1016/j.compstruct.2011.01.012 ↗
52. Free vibration of laminated composite plates using two variable refined plate theory10.1016/j.ijmecsci.2010.01.002 ↗
53. A nonlocal beam theory for bending, buckling, and vibration of nanobeams10.1016/j.ijengsci.2011.11.011 ↗
54. A two variable refined plate theory for laminated composite plates10.1016/j.compstruct.2008.07.017 ↗
55. Buckling analysis of plates using the two variable refined plate theory10.1016/j.tws.2008.08.002 ↗
56. Analytical solutions of refined plate theory for bending, buckling and vibration analyses of thick plates10.1016/j.apm.2013.03.038 ↗
57. A simple refined theory for bending, buckling and vibration of thick plates resting on elastic foundation10.1016/j.ijmecsci.2013.03.017 ↗
58. A refined plate theory for functionally graded plates resting on elastic foundation10.1016/j.compscitech.2011.08.016 ↗
59. An efficient and simple refined theory for buckling analysis of functionally graded plates10.1016/j.apm.2011.07.062 ↗
60. A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation10.1016/j.compositesb.2011.11.062 ↗
61. An efficient shear deformation theory for vibration of functionally graded plates10.1007/s00419-012-0642-4 ↗
62. Static analysis of functionally graded sandwich plates using an efficient and simple refined theory10.1016/S1000-9361(11)60051-4 ↗
63. A new four variable refined plate theory for bending response of functionally graded sandwich plates under thermomechanical loading
64. Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates10.1080/01495739.2010.550806 ↗
65. A two variable refined plate theory for the bending analysis of functionally graded plates10.1007/s10409-010-0372-1 ↗
66. Static and dynamic analysis of functionally graded plates using four-variable refined plate theory by the new function10.1016/j.compositesb.2012.07.015 ↗
67. An advanced theory of thin-walled girders with application to ship vibrations10.1016/j.marstruc.2009.03.004 ↗
68. Coupled flexural and torsional vibrations of ship-like girders10.1016/j.tws.2007.07.013 ↗
69. Isogeometric analysis of functionally graded plates using higher-order shear deformation theory10.1016/j.compositesb.2013.02.045 ↗
70. Reddy · 2004
71. Free vibrations of multilayered composite plates10.2514/3.6868 ↗
72. Three-dimensional solutions for antisymmetrically solutions for antisymmetrically laminated anisotropic plates10.1115/1.2888300 ↗
73. Exact solutions for rectangular bidirectional composites and sandwich plates10.1177/002199837000400102 ↗
74. Zeroth-order shear deformation theory for laminated composite plates10.1115/1.1558077 ↗
75. Analytical solutions using a higher order refined computational model with 12 degrees of freedom for the free vibration analysis of antisymmetric angle-ply plates10.1016/j.compstruct.2007.01.001 ↗