Engineering with Computers, Vol.15, No.1, pp.73-89.
E.N. Lages,
Department of Structural Engineering, Universidade Federal de Alagoas
(UFAL), UFAL, Macei, AL, 57072-970, Brazil.
G.H. Paulino,
Department of Civil & Environmental Engineering, and Graduate Group in Applied
Mathematics (GGAM), University of California, Davis, CA 95616-5294, USA.
I.F. M. Menezes,
TeCGraf (Computer Graphics Technology Group), PUC-Rio, Rio de Janeiro, RJ, 22453-900,
Brazil.
R.R. Silva
Department of Civil Engineering, PUC-Rio, Rio de Janeiro, RJ, 22453-900, Brazil.
Abstract
An Object-Oriented Programming (OOP) framework is presented for solving nonlinear
structural mechanics problems by means of the Finite Element Method (FEM). Emphasis
is placed on engineering applications (geometrically nonlinear beam model, and
elastoplastic Cosserat continuum), and OOP is employed as an effective tool, which plays
an important role in the FEM treatment of such applications. The implementation is
based on computational abstractions of both mathematical and physical concepts associated
to structural mechanics problems involving geometrical and material nonlinearities.
The overall class organization for nonlinear mechanics modeling is discussed in
detail. All the analyses rely on a generic control class where several classical and
modern nonlinear solution schemes are available. Examples which explore, demonstrate
and validate the main features of the overall computational system are presented and
discussed.
Key words: Finite Element Analysis (FEA); Object-Oriented Programming (OOP); Structural mechanics; Geometric nonlinearity, Material nonlinearity; Beam Elements; Cosserat Continuum; Nonlinear solution schemes.
Representative Results:
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Lee frame example | |
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Localization of deformation example |