Finite displacements in reciprocity-based FE formulation

Computer Assisted Mechanics and Engineering Sciences

Volumn 9, Issue 4, 2002, Pages 469-480

  Kompiš, Vladimír ^a   Novák, Pavol ^a   Handrik, Mariám ^a  

^a UNIVERSITY OF ILINA   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; POLYNOMIALS; STIFFNESS MATRIX; STRAIN; STRESSES;

FINITE DISPLACEMENTS;

FINITE ELEMENT METHOD;

EID: 0036396797     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (27)

1. J. Baláš, J. Sládek, V. Sládek. Stress Analysis by Boundary Element Method, Elsevier, 1989.
2. K.-J. Bathe. The Finite Element Procedures. Prentice Hall, Englewood Cliffs, 1996.
3. R. Bausinger, G. Kuhn. The Boundary Element Method (in German). Expert Verlag, Germany, 1987.
4. T. Blacker, T. Belytschko. Superconvergent patch recovery with equilibrium and conjoint interpolant enhancement. Int. J. Num. Meth. Eng., 37: 517-536, 1994.
5. Y.K. Cheung, W.G. Jin, O.C. Zienkiewicz. Direct solution procedure for solution of harmonic problems using complete, non-singular, Trefftz functions. Commun. In Appl. Numer. Methods, 5: 159-169, 1989.
6. Y.K. Cheung, W.G. Jin, O.C. Zienkiewicz. Solution of Helmholtz equation by Trefftz method. Int. J. Numer. Meth. Engng., 32: 63-78, 1991.
7. T.A. Cruse. An improved boundary integral equation method for three dimensional elastic stress analysis. Computers & Structures, 5: 741-754, 1974.
8. T.A. Cruse. Boundary Element Analysis in Computational Fracture Mechanics. Kluwer Acad. Publ., Boston, 1988.
9. A. Forster, G. Kuhn. A field boundary element formulation for material nonlinear problems at finite strains. Int. J. Solids Structures, 31, 1777-1792, 1994.
10. J. Jirousek, A. Wróblewski. T-elements: State of the art and future trends. Archives of Comput. Mech., 3: 323-434, 1997.
11. J.A. Kotodziej, A. Uściłowska. Trefftz-type procedure for Laplace equation on domains with circular holes, circular inclusions, corners, slits and symmetry. CAMES, 4: 501-519, 1997.
12. V. Kompiš. Finite elements satisfying all governing equations inside the element. Computers & Struct., 4: 273-278, 1994.
13. V. Kompiš, L. Fraštia. Polynomial representation of hybrid finite elements. CAMES, 4: 521-532, 1997.
14. V. Kompiš, L. Jakubovičová, F. Konkol. Non-singular reciprocity based BEM/FEM formulations. IUTAM/IACEM/IABEM Symposium on Advanced Math. and Comput. Mech. Aspects of the Bound. Elem. Meth., Cracow, 1999.
15. V. Kompiš, L. Jakubovičová. Errors in modelling high order gradient fields using isoparametric and reciprocity based FEM. Int. J. Eng. Modelling, 13: 27-34, 2000.
16. V. Kompiš, J. Oravec, J. Búry. Reciprocity based FEM. Strojnícky Ćasopis, 50: 188-201, 1999.
17. V. Kompiš, M. Žmindák, L. Jakubovičová. Error estimation in multi-domain BEM (Reciprocity based FEM). In: W. Wunderlich, ed., ECCM '99, European Conference on Computational Mechanics, CD-ROM, München, 1999.
18. G. Kuhn, P. Partheimüller, O. Köhler. Regularization and evaluation of singular domain integrals in boundary element methods. In: V. Sládek, J. Sládek, eds., Singular Integrals in Boundary Element Methods, 223-262. Comput. Mech. Publ., Southampton, 1998.
19. J.C. Lachat, J.O. Watson. Effective numerical treatment of boundary integral equation: a formulation for three dimensional elasto-statics. Int. J. Num. Meth. Eng., 10: 991-1005, 1976.
20. E.A.W. Maunder, V. Kompiš. Stress recovery techniques based on Trefftz functions. 8th International Conference on Numerical Methods in Continuum Mechanics, Liptovský Ján, Low Tatras, Slovakia, September 19-24, 2000, CD ROM.
21. E.A.W. Maunder, A.C.A. Ramsay. Quadratic equilibrium elements. In: J. Robinson, ed., FEM Today and Future, 401-407. Robinson and Associates, 1993.
22. I. Prieto, A.L. Ibán, J.A. Garrido. 2D analysis for geometrically non-linear elastic problem using BEM. Eng. Anal. with Bound. Elements, 23, 247-256, 1999.
23. Q. Niu, M.S. Shephard. Superconvergent extraction techniques for finite element analysis. Int. J. Num. Meth. Eng., 36: 811-836, 1993.
24. B. Szybiński, A.P. Zieliński. Alternative T-complete systems of shape functions applied in analytical Trefftz finite elements. Num. Meth. for Part. Diff. Eqs., 11: 375-388, 1995.
25. J.A. Teixeira de Freitas, C. Cismasiu, Z.M. Wang. Comparative analysis of hybrid-Trefftz stress and displacement elements. Archives of Computational Methods in Engineering, 6: 35-59, 1999.
26. E. Trefftz. Ein Gegenstück zum Ritzschen Verfahren. Proc. 2nd Int. Congress of Applied Mechanics, Zürich, 1926.
27. O.C. Zienkiewicz, R.L. Taylor. The Finite Element Method, Vols. I-II, 4-th Edition. Wiley, 1989, 1991.