Paper Info
Title
Nonlinear Finite Element Analysis using an Object-Oriented Philosophy-Application to Beam Elements and to the Cosserat Continuum
Abstract
An Object-Oriented Programming (OOP) framework is presented for solving nonlinear structural mechanics problems,ns 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 an computational abstractions of both mathematical and physical concepts associated to structural mechanics problems involving geo,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 a,ld modern nonlinear solution schemes are available. Examples which explore, demonstrate and validate the main features of the overall computational system are presented and discussed.
Year
DOI
Venue
1999
10.1007/s003660050006
ENGINEERING WITH COMPUTERS
Keywords
Field
DocType
beam elements,Cosserat continuum,Finite Element Analysis (FEA),geometric nonlinearity,material nonlinearity,nonlinear solution schemes,Object-Oriented Programming (OOP),structural mechanics
Applied mathematics,Mathematical optimization,Nonlinear system,Object-oriented programming,Mechanical engineering,Continuum (design consultancy),Finite element method,Beam (structure),Nonlinear finite element analysis,Structural mechanics,Physical Concepts,Mathematics
Journal
Volume
Issue
ISSN
15.0
1
0177-0667
Citations 
PageRank 
References 
2
0.50
3
Authors
4
Name
Order
Citations
PageRank
Eduardo Nobre Lages120.83
Glaucio H. Paulino2207.00
Ivan F. M. Menezes360.90
Raul R. Silva420.50