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Title:Numerical and Software Requirements for General Nonlinear Finite Element Analysis
Author(s):Dodds, Robert H., Jr.; Lopez, L.A.; Pecknold, D.A.
Subject(s):Nonlinear analysis software
Abstract:Until recently only the theoretical aspects of formulating the analysis techniques were, considered worthy topics for University research efforts. Proper design and implementation of user-oriented computer software for finite element analysis has now become recognized as an essential component of the analysis process. In this work, the theoretical formulations are again considered, however, primary emphasis has been placed on design and implementation of the computer software.The governing equations of nonlinear continuum mechanics, usually expressed in tensor form, are given in matrix notation familiar to most structural engineers. Both geometric and material nonlinearities are considered. The classical equations of the Lagrangian description are cast into the finite element method. Specific matrices are given for large deformations of a three dimensional solid to illustrate the procedure. A general purpose, user-oriented software system, FINITE, for static linear and nonlinear analysis is described. FINITE relies upon the POLO supervisor for problem-oriented-language translation, data management, and dynamic memory allocation. FINITE supports multi-level user-defined substructuring and condensation for linear and nonlinear analysis. Isolation of the element and material model libraries from the system enables rapid entry of new modeling capabilities. A number of nonlinear example analyses are presented to demonstrate features of the FINITE system.
Issue Date:1978-09
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-454
Genre:Technical Report
Sponsor:Office of Naval Research. Department of the Navy.
Contract No. N00014-75-C-0164
Project NR 064-183
Date Available in IDEALS:2009-10-08
Identifier in Online Catalog:360882

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