Nonlinear Analysis of Unsymmetrical Composite Laminates using the Large Deflection First-Order Shear Deformation Theory with Arbitrary Angle of Orientation

Eslami, Habib; Park, Eun-Seon; Gangadharan, Sathya N.

doi:10.2514/6.2002-1578

Cited by 1 publication

(2 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The linear components of the transverse shear strain are parabolic through the shell thickness, as given in Eq. (11). …”

Section: Strain Displacementmentioning

confidence: 95%

“…Axially compressed unsymmetric flat plates are examined by Majeed and Hyer [8] and they show how slight changes in the plate boundary conditions affect whether bifurcation buckling occurs. Additionally, in the special case of unsymmetrically laminated plate geometries [9][10][11] due to membrane-bending coupling, nonlinearity becomes important even in cases for which deflections are normally considered small. Recently, this has been found to be true in the case of laminated shells, as well [12].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Response of Axially Compressed Laminated Cylindrical Shell Panels

Dennis

2007

AIAA Journal

View full text Add to dashboard Cite

A kinematics-based geometrically nonlinear thin-shell approach is presented. Reddy-Levinson-Murthy displacements have cubic distributions through the shell thickness for the in-plane shell displacements and result in parabolic transverse shear strain. Strains are assumed to be small and of the order of 2 , where 2 is a small quantity compared with unity. The nonlinearity allows moderate rotations by retaining terms of the order of 3 and larger in the strain-displacement relations. Each of the shell strains is nonlinear in displacement. A second, simpler, intermediate nonlinearity of the von Kármán type results by retaining all terms of the order of 2 and larger. The von Kármán type approach has displacement nonlinearity in the in-plane strains, yet is linear in displacement for the transverse shear strains. For solution of the shell equations, the finite element method using a 36-degree-of-freedom curved shell element is developed. The nonlinear response of axially compressed laminated cylindrical shell panels is examined and compared with existing experimental results. The influence of the nonlinear transverse straindisplacement terms of the moderate rotation approach is illustrated in a numerical simulation of an axially compressed unsymmetrically laminated cross-ply panel.

show abstract

“…The linear components of the transverse shear strain are parabolic through the shell thickness, as given in Eq. (11). …”

Section: Strain Displacementmentioning

confidence: 95%