A review of refined shear deformation theories for isotropic and anisotropic laminated beams

Journal of Reinforced Plastics and Composites

Volumn 20, Issue 3, 2001, Pages 255-272

  Ghugal, Y M ^a   Shimpi, R P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Elasticity solutions of beams; Equivalent single layer beam theories; Isotropic thick beams; Laminated thick beams; Layerwise beam theories; Refined beam theory; Shear deformation in beams

Indexed keywords

ANISOTROPY; COMPOSITE BEAMS AND GIRDERS; ELASTIC MODULI; ELASTICITY; SHEAR DEFORMATION; STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

ANISOTROPIC LAMINATED BEAMS; REFINED BEAM THEORY;

LAMINATED COMPOSITES;

EID: 0035033871     PISSN: 07316844     EISSN: None     Source Type: Journal    
DOI: 10.1106/N95G-ERA1-A1CM-RD7E     Document Type: Review

References (98)

1. Methods for justifying and refining the theory of shells
2. On elementary theories of linear elastic beams, plates and shells
3. Vibration of bimodular sandwich beams with thick facings: A new theory and experimental results
4. On the correction for shear of the differential equation for transverse vibrations of prismatic bars
5. Effect of transverse shear and rotatory inertia on the natural frequency of a uniform beam
6. Transverse impact of long beams including inertia and shear effects
7. Timoshenko's shear coefficient for flexural vibrations of beams
8. The shear coefficients in Timoshenko beam theory
9. On the accuracy of Timoshenko's beam theory
10. Vibration of short beams
11. Analysis of short beams
12. On Timoshenko's correction for shear in vibrating beams
13. Transverse vibrations of beams, exact versus approximate solutions
14. On the transverse vibration of beams of rectangular cross-section
15. On the shear coefficient in beam bending
16. A second order beam theory
17. An engineering theory for beam bending
18. Generalised beam theory applied to shear stiffness
19. Refined engineering beam theory based on the asymptotic expansion approach
20. Improved engineering theory for uniform beams
21. On the limitations of the sheafing stress formula
22. A higher order theory for plate deformations, Part 1: Homogeneous plates
23. A higher order theory for plate deformations, Part 2: Laminated plates
24. Higher order effects in thick rectangular elastic beams
25. Approximate theory for locally loaded plane orthotropic beams
26. On the significance of the inclusion of the effect of transverse normal strain in problems involving beams with surface constraint
27. Beam Theories: A variational approach
28. A new rectangular beam theory
29. Further results of a new beam theory
30. On Bickford's consistent higher order beam theory
31. Consistent and inconsistent higher order beam and plate theories: Some surprising comparisons
32. A consistent higher order beam theory
33. On the accuracy of a beam theory
34. A simple and accurate beam theory
35. Stiffness analysis of beams using a higher-order theory
36. Toward a new engineering theory of bending: Fundamentals
37. An error estimate for solutions in beam theory
38. Technical theory of beam with normal strain
39. Refined bending theory for beams of circular cross-section
40. Toward a consistent beam theory
41. Observations on higher-order beam theory
42. Refined effects in beam theories and their influence on the natural frequencies of beams
43. A higher order beam finite element for bending and vibration problems
44. A finite element model for a higher order shear deformable beam theory
45. Analogy between refined beam theories and the Bernoulli-Euler theory
46. Bending of rectangular beams
47. On the stresses and deflections of rectangular beams
48. Memoire sur la theorie des plaques elastiques planes
49. Vibration of beams and plate strips with three-dimensional flexibility
50. A trigonometric shear deformation theory for flexure and free vibration of isotropic thick beams
51. Analysis of continuous beams: A three-dimensional elasticity solution
52. A direct method for determining airy polynomial stress functions
53. On choosing stress functions in rectangular coordinates
54. Plane anisotropic beams
55. On the validity of elementary bending theory for anisotropic elastic slabs
56. Sandwich beam analysis
57. Departures from classical beam theory in laminated, sandwich, and short beams
58. Layered beam analysis
59. Simplified analysis of static shear factor for beams of nonhomogeneous cross section
60. Shear coefficient for orthotropic beams
61. A new theory for bending of thick sandwich beams
62. Vibration of laminated beams
63. On the shear deformation theory for dynamic analysis of beams
64. Flexure of laminated beams
65. Bending theory for fiber reinforced beams
66. An exact solution for the bending of thin and thick cross-ply laminated beams
67. A general theory for the accurate stress analysis of homogeneous and laminated composite beams
68. Refined theories for composite and sandwich beams with C° finite elements
69. New theories for symmetric/unsymmetric composite and sandwich beams with C° finite elements
70. Different numerical techniques for the estimation of multiaxial stresses in symmetric/unsymmetric composite and sandwich beams with refined theories
71. Bending and free vibration analysis of shear deformable laminated composite beams by finite element method
72. Beam elements based on a higher order theory I: Formulation and analysis of performance
73. A transverse shear and normal deformable orthotropic beam theory
74. Anisotropic beam theories with shear deformation
75. A generalization of two dimensional theories of laminated composite plates
76. An interlaminar shear stress continuity theory for both thin and thick composite laminates
77. Analysis of laminated beams with a layerwise constant shear theory
78. Orthotropic beams under polynomial loads
79. Stresses in a composite cantilever
80. Exact solution for composite laminates in cylindrical bending
81. Influence of shear coupling in cylindrical bending of anisotropic laminates
82. Exact analysis of unsymmetric laminated beam
83. Stress distribution and deformation of adhesive-bonded laminated composite beams
84. Exact solutions to some honeycomb sandwich beam, plate and shell problems