NJIT eTD::njit-etd1986-014::Huang, Fuang-Yuan::"Two and three-dimensional isoparametric finite elements for axisymmetric micropolar elasticity"

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.

Title:	Two and three-dimensional isoparametric finite elements for axisymmetric micropolar elasticity
Author:	Huang, Fuang-Yuan
Document Type:	Dissertation
Department:	Department of Mechanical Engineering
Degree:	Doctor of Engineering Science
Major:	Mechanical Engineering
Advisory Committee:	Nakamura, Sachio Koplik, Bernard Chen, Rong-Yaw Dave, Rajesh N. Wecharatana, Methi
Thesis 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.
Complete Thesis:	njit-etd1986-014 (127 pages ~ 4,928 KB pdf)
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