Document Type

Dissertation

Date of Award

Spring 5-31-1989

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.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.