Developments with hybrid-Trefftz stress and displacement elements

  • João A. Teixeira de Freitas Universidade Técnica de Lisboa
  • Corneliu Cismaşiu Universidade Técnica de Lisboa

Abstract

The paper reports on the work on hybrid-Trefftz finite elements developed by the Structural Analysis Research Group, ICIST, Technical University of Lisbon. A dynamic elastoplastic problem is used to describe the technique used to establish the alternative stress and displacement models of the hybridTrefftz finite element formulations. They are derived using independent time, space and finite element bases, so that the resulting solving systems are symmetric, sparse, naturally p-adaptive and particularly well suited to parallel processing. The performance of the hybrid-Trefftz stress and displacement models is illustrated with a number of representative static and dynamic applications of elastic and elastoplastic structural problems.

Keywords

Hybrid-Trefftz elements, elasticity, elastoplasticity, dynamics,

References

[1] ABAQUS, Standard, Version 5. 7. Hibbit, Karlsson & Sorensen, Inc., 1997.
[2] R.A. Adey, N. Kamiya, E. Kita, eds. Trefftz method: 70 years. Special issue, Adv. Eng. Software, 24, 1995.
[3] F.L.S. Bussamra. Hybrid- Trefftz Stress Elements: a Three-Dimensional Model for Elastoplasticity (in Portuguese). Ph.D. thesis, Universidade de São Paulo, Brazil, 1999.
[4] F.L.S. Bussamra, P.M. Pimenta, J.A.T. Freitas. Three-dimensional elastoplastic analysis with hybrid-Trefftz stress elements (in Portuguese). In: P.M. Pimenta, ed., Proc. 20th CILAMCE, São Paulo, Brazil, 1999.
[5] F.L.S. Bussamra, P.M. Pimenta, J .A.T. Freitas. Hybrid-Trefftz stress elements for three-dimensional elastoplasticity. 2nd Int. Workshop Trefftz Method, Sintra, 1999.
Published
Mar 2, 2023
How to Cite
TEIXEIRA DE FREITAS, João A.; CISMAŞIU, Corneliu. Developments with hybrid-Trefftz stress and displacement elements. Computer Assisted Methods in Engineering and Science, [S.l.], v. 8, n. 2-3, p. 289-311, mar. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1171>. Date accessed: 13 nov. 2024.
Section
Articles

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