Two and three-dimensional isoparametric finite elements for axisymmetric micropolar elasticity
Department of Mechanical Engineering
Doctor of Engineering Science
Dave, Rajesh N.
Finite element method.
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.
njit-etd1986-014 (127 pages ~ 4,928 KB pdf)
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Created May 31, 2006