Finite element method for laminated beams and orthotropic plates
Call Number: AIT Thesis no.ST-83-11 Material type:
TextSeries: Asian Institute of Technology. Thesis ; no. ST-83-11Publication details: Bangkok : Asian Institute of Technology, 1983Description: iv, 39 pSubject(s): Online resources: Dissertation note: Thesis (M.Eng.) - Asian Institute of Technology, 1983 Summary: A 4-node finite element for multilayer plate is developed based on a hybrid-stress model. The proposed method is applicable to thin to moderately thick plates . A linear variation is assumed for in plane displacements in each layer. At layer interfaces displacement continuity and transverse shear stress continuities are satisfied exactly. The traction free conditions on the upper and lower faces of the plate are also satisfied. A proper stress distribution is developed t have a correct rank for the stiffness matrix and to avoid shear locking at the thin plate limit. If the rank of the stiffness matrix is incorrect, zero energy modes would exist. Selected example problems are used to demonstrate the followings; (1) the convergence characteristics, (2) through-thickness variation of inplane displacements and stresses, and (3) accuracy of the fundamental frequencies.
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A thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering, School of Engineering and Technology
Thesis (M.Eng.) - Asian Institute of Technology, 1983
A 4-node finite element for multilayer plate is developed based on a hybrid-stress model. The proposed method is applicable to thin to moderately thick plates . A linear variation is assumed for in plane displacements in each layer. At layer interfaces displacement continuity and transverse shear stress continuities are satisfied exactly. The traction free conditions on the upper and lower faces of the plate are also satisfied. A proper stress distribution is developed t have a correct rank for the stiffness matrix and to avoid shear locking at the thin plate limit. If the rank of the stiffness matrix is incorrect, zero energy modes would exist. Selected example problems are used to demonstrate the followings; (1) the convergence characteristics, (2) through-thickness variation of inplane displacements and stresses, and (3) accuracy of the fundamental frequencies.
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