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The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: Two and three-dimensional isoparametric finite elements for axisymmetric micropolar elasticity
Author: Huang, Fuang-Yuan
View Online: njit-etd1986-014
(iv, 116 pages ~ 4.4 MB pdf)
Department: Department of Mechanical Engineering
Degree: Doctor of Engineering Science
Program: Mechanical Engineering
Document Type: Dissertation
Advisory Committee: Nakamura, Sachio (Committee chair)
Koplik, Bernard (Committee member)
Chen, Rong-Yaw (Committee member)
Dave, Rajesh N. (Committee member)
Wecharatana, Methi (Committee member)
Date: 1986
Keywords: Finite element method.
Micropolar elasticity.
Elasticity.
Availability: Unrestricted
Abstract:

Finite element analysis program for isotropic and orthotropic axisymmetric micropolar (Cosserat) elastic solids are developed in this thesis. Isoparametric elements of 8- and 20- node are used to solve general three-dimensional problems, arid both 4- and 8-node elements are used for two-dimensional cases. Three-dimensional finite element formulation for cylindrical coordinate system is derived. Corresponding Fortran programs are then developed. Patch tests are performed for two-dimensional cases to verify the applicability of the finite element method to non-rectangular geometries. Several two-dimensional and three- dimensional problems for micropolar elastic solids are solved to verify the formulations arid computer program.

Good agreements were obtained in all cases, confirming the validity of the finite element method.


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