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ISOFINEL: Isoparametric finite element code for elastic analysis of two-dimensional bodiesA formulation is presented for the development of a finite element program for the elastic analysis of two-dimensional bodies using the eight-node isoparametric quadrilateral. The program solves for both plane stress and plane strain problems. The finite element formulation based on the isoparametric displacement functions is presented. The program structure is given in the form of flow diagrams with descriptions of the numerical procedure used to obtain the element stiffness matrix, and the solution method employed to solve for nodal displacements. Three numerical examples (a plate under uniaxial tension, a plate under pure shear, and a beam under pure bending) are presented to illustrate the capability and limitations of the element implementation. The first problem is solved exactly by the element, as predicted by the form of its displacement functions. In the other two problems the accuracy of the solution is highly dependent upon the slenderness of the element, the number of elements in the map, and the numerical integration scheme used to build the element stiffness matrix.
Document ID
19750023411
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Marino, C. (Carnegie-Mellon Univ. Pittsburgh, PA, United States)
Date Acquired
September 3, 2013
Publication Date
September 1, 1975
Subject Category
Structural Mechanics
Report/Patent Number
NASA-CR-143498
SM-75-4
Accession Number
75N31484
Funding Number(s)
CONTRACT_GRANT: NGR-39-087-053
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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