Numerical and Software Requirements for General Nonlinear Finite Element Analysis

Dodds, Robert H., Jr.; Lopez, L.A.; Pecknold, D.A.

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https://hdl.handle.net/2142/13915 Copy

Description

Title

Numerical and Software Requirements for General Nonlinear Finite Element Analysis

Author(s)

• Dodds, Robert H., Jr.
• Lopez, L.A.
• Pecknold, D.A.

Issue Date

1978-09

Keyword(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.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-454

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/13915

Sponsor(s)/Grant Number(s)

• Office of Naval Research. Department of the Navy.
• Contract No. N00014-75-C-0164
• Project NR 064-183

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