Solution of a laminated cylindrical shell using an unconstrained third-order theory

✍ Scribed by S. Di; H. Rothert

• Book ID: 104269039
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 582 KB
• Volume: 69
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(98)00137-0

✦ Synopsis

An unconstrained third-order shear deformation theory is presented for the analysis of laminated anisotropic cylindrical shells. Based on the realistic through-thickness distribution of the in-plane displacements, a zig-zag function is used to approximate the piecewise nature of the displacements. The zero-shearing condition on the laminate surfaces and continuous conditions for the transverse shear stresses on the inter-laminar surfaces have been considered for the ®nal stresses calculation, while the displacement functions remain to be unconstrained. This theory is very useful for ®nite element analysis because it requests only C8 continuity for the assumed displacement ®eld. By comparison with three-dimensional elasticity theory for laminated orthotropic cylindrical shells, the performance of the present theory is veri®ed. The problems solved in this paper illustrate that the present theory is very accurate for thin and moderately thick shells.