Tytuł artykułu
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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Konferencja
International Workshop on the Trefftz Method (2 ; 1999 ; Lisbon, Portugal)
Języki publikacji
Abstrakty
The purpose of this work is to compare and assess, more in terms of computational efficiency than in terms of accuracy, three alternative implementations of a boundary formulation based on the Trefftz method for linear elastostatics, namely a collocation-based and two Galerkin-based approaches. A finite element approach is used in the derivation of the formulation for the Galerkin-based alternative implementations. The coefficients of the structural matrices and vectors are defined either by regular boundary integral expressions or determined by direct collocation of the trial functions. Numerical tests are performed to assess the relative performance of the different alternative implementations.
Słowa kluczowe
Rocznik
Tom
Strony
397--407
Opis fizyczny
Bibliogr. 14 poz., tab., wykr.
Twórcy
autor
- Departamento de Engenharia Civil, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Bibliografia
- [1] R.A. Adey, N. Kamiya, E. Kita, eds. Trefftz method: 70 years, special issue. Adv. Engng. Software, 24, 1995.
- [2] J.A.T. Freitas. Formulation of elastostatic hybrid-Trefftz stress elements. Comp. Meth. Appl. Mech. Engng, 153:127-151, 1998.
- [3] J.A.T. Freitas, C. Cismasiu. Numerical implementation of hybrid-Trefftz displacement elements. Comput. Struct., in press, 1999.
- [4] J.A.T. Freitas, Z.-Y. Ji. Hybrid-Trefftz boundary integral formulation for the simulation of singular stress fields. Int. J. Numer. Meth. Engng., 39:281-308, 1996.
- [5] J.A.T. Freitas, Z.-Y. Ji. Hybrid-Trefftz equilibrium model for crack problems. Int. J. Numer. Meth. Engng., 39:569-584, 1996.
- [6] J.A.T. Freitas, V.M.A. Leitão. A symmetric collocation Trefftz boundary integral formulation. accepted for publication in Computational Mechanics, 1999.
- [7] J. Jirousek, A. Wróblewski. T-elements: State of the art and future trends. Arch. Comp. Meth. Engng., 3/4:323-434, 1996.
- [8] J. Jirousek, A.P. Zielinski. Survey of Trefftz-type element formulations. Comp. Struct., 63:225-242, 1997.
- [9] M. Kleiber, H. Mang, A.P. Zieliński, eds. Trefftz method: recent developments and perspectives, special issue. CAMES, 4/3/4, 1997.
- [10] J. Kołodziej. Review of application of boundary collocation methods in mechanics of continuous media. SM Archives, 12/4:187-231, 1987.
- [11] V.M.A. Leitão. On the implementation of a multi-region Trefftz-collocation formulation for 2-D potential problems. Engineering Analysis with Boundary Elements, 20:51-61, 1997.
- [12] V.M.A. Leitão. Application of multi-region Trefftz-collocation to fracture mechanics. Engineering Analysis with Boundary Elements, 22:251-256, 1998.
- [13] N.I. Muskhelishvili. Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff, 1963.
- [14] E. Trefftz. Ein Gegenstück zum Ritzchen Verfahren. Proc. 2nd Int. Cong. Applied Mechanics, Zurich, 1926.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0006-0051