Date of Award

Spring 1989

Document Type

Dissertation

Degree Name

Doctor of Engineering Science in Mechanical Engineering

Department

Mechanical and Industrial Engineering

First Advisor

Bernard Koplik

Second Advisor

Sachio Nakamura

Third Advisor

Rong-Yaw Chen

Fourth Advisor

Benedict C. Sun

Fifth Advisor

Harry Herman

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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