Object-Oriented Programming Applied to the Finite Element Method Part I. General Concepts

Authors

  • Jacques Besson Ecole des Mines de Paris, Centre des Materiaux CNRS URA 866, F-91003 Evry cedex
  • Ronald Foerch North West Numerics Inc., 444 N.E. Ravenna Blvd Suite 301-A, Seattle, WA 98IJ5, USA

Keywords:

object oriented languages, finite element method, programming patterns, constitutive equations, C

Abstract

This paper examines the application of object-oriented programming techniques to the finite element method. First a tool library is briefly presented: it includes mathematical objects such as vector, matrix and tensor, as well as generic types such as array, list and encapsulated pointer. Design patterns are then presented. They allow the defining of reusable implementation strategies which help to obtain a flexible extensible code. Finally the paper demonstrates the use of the different patterns in the case of objects describing finite elements and object representing material behaviors.

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References

[ AAZ 93] K. AAzizou, J. BESSON, G. CAILLETAUD, F. HOURLIER. "Une approche

C++ du calcul par elements finis". In Colloques national en calcul des

structures, Giens, France, May 11-14, 1993. Hermes, Paris.

[BAT 82] K.J. BATHE. "Finite element procedures in engineering analysis". Prentice

Hall, Inc., 1982.

[BAT 91] J.L. BATOZ G. GHATT. "Modelisation des structures par elements finis,

J-Ill'. Hermes, 1991.

[ BES 88] J.-M. BESSON, M. JAEGER, 0. DEBORDES. "Homogeneisation de

composites a base de tissus de fibres" 0 In D. GAY c BORD, editors,

Composite Structures, pages 77-90, 20-22 June 1988.

[ BES 97] J. BESSON R. FOERCH. "Large Scale Object-Oriented Finite Element

Code Design". Computer Methods in Applied Mechanics and Engineering,

:165-187, 1997.

[ BES 98] J. BESSON, R. LE RICHE, R. FOERCH, G. CAILLETAUD. "Application of

object-oriented programming techniques to the finite element method.

Part II- Application to material Behaviors". Rewe europenne des

elements finis, to be published, 1998.

[BET 96] B.P. BETTIG R.P.S HAN. "An object-oriented framework for interactive

numerical analysis in a graphical user interface environment". Int. J. for

numerical methods in engineering, 39:2945-2971, 1996.

[ BOO 97] G. BoocH. "Des solutions objets". International Thomson Publishing

France, Paris, 1997.

[ BRE 92] P. BREITKOPF G. TouzoT. "Architecture des logiciels et langages de

modelisation". Revue Europeenne des elements finis, 1{3):333-368, 1992.

[CAR 94] A. CARDONA, I. KLAPKA, M. GERADIN. "Design of a new finite element

programming environment". Engineering computations, 11:365-381, 1994.

[COM 96] S. COMMEND T. ZIMMERMANN. "Finite element preprocessing with Java".

Technical Report, EPFL, 1996.

[ CON 89] E. CONTEST! G. CAILLETAUD. "Dest-Tiption of creep-pli!Sticity interaction

with non-unified constitutive equations". Nuclear Eng. and Design,

:265, 1989.

[DEB 91] R. DE BORST. "Simulation of strain localization: a reappraisal of the

Cosserat continuum". Eng. Computations, 8:317-332, 1991.

[DEL 85] H.G. DELORENZI. "Energy release rate calculations by the finite element

method". Engineering Fracture Mechanics, 1985.

[ DUB 92a] Y. DuBOIS-PELERIN, T. ZIMMERMANN, P. BOMME. "Object-oriented

finite element programming: II. A prototype program in Smalltalk".

Computer Methods in Applied Mechanics and Engineering, 98:361-397,

[ DUB 92bj Y.-D. DUBOIS-PELERIN. "Object-oriented finite elements: programming

concepts and implementation". PhD thesis, Ecole Polytechnique Federale

de Lausanne, 1992.

[DUB 93] Y. DUBOIS-PELERIN T. ZIMMERMANN. "Object-oriented finite element

programming: III. An efficient implementation in C++". Computer

Methods in Applied Mechanics and Engineering, 108:165-183, 1993.

[ FOE 97] R. FOERCH, J. BESSON, G. CAILLETAUD, P. PILVIN. "Polymorphic

Constitutive Equations in Finite Element Codes". Computer Methods in

Applied Mechanics and Engineering, 141:355-372, 1997.

[FOR 90] B.W.R. FORDE, Foschi R.O., Stiemer S.F.. "Object-Oriented Finite

Element Analysis". Computers 8 Structures, 34(3):355-374, 1990.

[FOR 97] S. FOREST. "Mechanics of Generalized Continua: Construction by

Homogeneization". In 4d'me Colloque de Metallurgie, Comportement

Mecanique et Effets d'Echelle, INSTN. to appear in Journal de Physique

IV., June 24-26, 1997.

[ GAJ 96] R.R. GAJEWSKI T. KowALCZYK. "A prototype object-{)riented finite

element method program: cla!:i!:l hierarchy and gTaphic user interface".

Computer assisted mechanics and engineering science, 3:65-74, 1996.

[ GAM 94] E. GAMMA, R. HELM, R. JOHNSON, J. VLISSIDES. "Design Patterns:

elements of reusable object-oriented software". Addison Wesley

professional computing series, 1994.

[HAN 94] S.W. HANEY. "Is C++ fi!St enough for scientific computing?". Computers

in physics, 8(6), 1994.

[HUG 80] J.R. HuGHES. "Generalization of selective integration procedures to

anisotropic and non linear media". Int. J. Numerical Methods in

Engineering, 15:1413-1418, 1980.

[ KON 95] X.A. KONG D.P. CHEN. "An object-oriented design of FEM programs".

Computers 8 Structures, 57:157-166, 1995.

[ LAF 97] C. LAFFRA. "Advanced Java". Prentice Hall PTR, 1997.

[ LER 97] L. LE RICHE, F. FEYEL, J. BESSON, G. CAILLETAUD, M. GUTMANN,

R. FOERCH. "L'objet materiau, de l'identification au calcul de structures".

In J.P. Pelle B. PESEUX, D. Aubry M. TOURATIER, editors, Actes du

'Iroisieme Colloque National en Calcul des Structures, pages 583-588.

Presses Academiques de !'Ouest, 20-23 Mai 1997 1997.

[ LUC 92] D. LucAs, B. DRESSLER, D. AUBRY. "Object-oriented finite element

programming using the ADA language". In Ch. Hirsch et AL., editor,

Numerical Methods in Engineering'92, pages 591-598. Elsevier Sdence

Publishers B.V., 1992.

[ LUC 94] D. LUCAS. "Methode des elements finis et programmation orientee objet.

Utilisation du langage Ada". PhD thesis, Ecole Centrale de Paris, 1994.

[ MAC 92] R.I. MACKIE. "Object-oriented programming of the finite element

method". Int. J. for Numerical Methods in Engineering, 35:424-436, 1992.

[ MEH 97] K. MEHLHORN, S. NAHER, C UHRIG. "The LEDA User Manual, version

5.1"' 1997.

[MEN 93] P. MENihREY T. ZIMMERMANN. "Object-Oriented Non-Linear Finite

Element Analysis: Application to J2 Plasticity''. Computers & Structures,

:767-777, 1993.

[MIL 88] G.R. MILLER. "A LISP-Based Object-Oriented Approach to Structural

Analysis". Engineering with Computers, 4:197-203, 1988.

[ PAR 74] D.M. PARKS. "A stiffness deriv-"tive finite element technique for

determination of crack tip stress intensity factors". Int. J. Fracture,

( 4):487-502, 1974.

[RIC 68] J.R. RICE. "A path independant integral and the approximate analysis

of strain concentration by notched and !..Tacks". J. Appl. Mech., 35:379,

[ RIK 79] E. RIKS. "An inl.Temental approach to the solution of snapping and

buckling problems". Int. J. Solids Structures, 15:529-551, 1979.

[RUM 91] J. RUMBAUGH, M. BLAHA, w. PREMERLANI, F. EDDY, w. LORENSEN.

"Object-Oriented Modeling and Design". Prentice Hall, New Jersey, 1991.

[SAl 95] K. SAl G. CAILLETAUD. "Study of Plastic/Viscoplastic Models with

Various Inelastic Mechanisms". Int J. Plasticity, 11(8):991-1005, 1995.

[ SCH 92] S.-P. SCHOLZ. "Elements of an Object-Oriented FEM++ program in

C++". Computers & Structures, 43:517-529, 1992.

[ SIM 85] J.C. SIMO R.L. TAYLOR. "Consistent tangent operators for rateindependent

elastoplastidty". Computer Methods in Applied Mechanics

and Engineering, 48:101-118, 1985.

[ STR 86] B. STROUSTRUP. "The C++ progmmming language". Addison-Wesley

Publishing, Reading, Mas., 1986.

[ STR 88] B. STROUSTRUP. "What is object-oriented programming ?''. IEEE

Software, 5:10-20, 1988.

[ STR 94] B. STROUSTRUP. "The Design and Evolution of C++". Addison-Wesley

Publishing Company, Inc., Reading, Mass, 1994.

[ VER 88] P. VERPEAUX, T. CHARRAS, A. MILLARD. "CASTEM 2000: une approche

modeme du calcul des structure!!". In J.M. FOUET, P. LADEVEZE,

R. OYAHON, editors, Conference, Calcul des Structures et Intelligence

Artificielle, volume 2. Pluralis, 1988.

( WAL 96] L. WALTERTHUM. "Programmation orientee objet et calculs par ~lements

finis. Application d la conception d'un logiciel de simulation en mise en

forme des materiaui'. PhD thesis, Universite de Franche-Comte, 1996.

[ ZIM 92] T. ZIMMERMANN, Y. DuBOIS-PELERIN, P. BOMME. "Object-oriented finite

element programming: I. Governing principles". Computer Methods in

Applied Mechanics and Engineering, 98:291-303, 1992.

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Published

1998-05-26

How to Cite

Besson, J. ., & Foerch, R. . (1998). Object-Oriented Programming Applied to the Finite Element Method Part I. General Concepts. European Journal of Computational Mechanics, 7(5), 535–566. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/3077

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Original Article