A new layerwise trigonometric shear deformation theory for two-layered cross-ply beams

Bending of a sinusoidal piezoelectric nanoplate with surface effect

“…This model was applied in several higher-order layerwise and zig-zag shear deformation theories [37][38][39]. Moreover, advanced numerical calculations such as finite element [40,41] and meshless methods [42][43][44] were also implemented based on this model.…”

Interlaminar stresses of laminated composite beams resting on elastic foundation subjected to transverse loading

“…The first one neglects the deformation components in the width direction and results in simpler equations [1][2][3][4]. In the second approach, the normal stress component in the width direction is neglected however, it's effect is taken into account due to stress-strain and strain-deformation relations [4][5][6][7][8].…”

Stress analysis of laminated composite and soft core sandwich beams using a simple higher order shear deformation theory

“…The third order theory of Reddy (1984) is the most commonly used higher order theory for beams as well as for plates. A recent review of higher order theories available for the analysis of laminated composite beams has been presented by Ghugal and Shimpi (2001). Kadoli et al (2008) applied the third order theory of Reddy for the static analysis of functionally graded beams.…”

“…Aguiar et al (2012) carried out static analysis of composite beams of different cross-sections using mixed and displacement based models. Ghugal and Shinde (2013) extended the layerwise trigonometric shear deformation theory of Shimpi and Ghugal (2001) for the bending analysis of two layered anti-symmetric laminated composite beams with various boundary conditions. Recently, Sayyad et al (2015) developed a new trigonometric shear deformation theory for the bending analysis of laminated composite and sandwich beams.…”