Department of Mechanical and Industrial Engineering
Degree:
Doctor of Engineering Science
Program:
Mechanical Engineering
Document Type:
Dissertation
Advisory Committee:
Koplik, Bernard (Committee chair)
Nakamura, Sachio (Committee member)
Chen, Rong-Yaw (Committee member)
Sun, Benedict C. (Committee member)
Herman, Harry (Committee member)
Date:
1989
Keywords:
Plates (Engineering)
Finite element method.
Availability:
Unrestricted
Abstract:
Finite element analysis programs for bending of linear isotropic micropolar elasticity are developed in this thesis. Isoparametric two-dimensional and three-dimensional elements are used to solve plate bending problems. Two-dimensional and three-dimensional finite element formulations are developed. Corresponding finite element programs are then developed. Patch tests are performed on the two-dimensional elements. Convergence studies are undertaken for the elements. Several plates are considered to evaluate the finite element scheme. The effects of the coupling factor N and characteristic length 1 are studied. A post processor with graphical display of displacements is developed.
Numerical results obtained for various plates are in good agreement with analytical solutions. Displacements and moments were not affected by the coupling factor for very small values of the characteristic length.
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