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Tytuł artykułu
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
International Workshop on the Trefftz Method (2 ; 1999 ; Lisbon, Portugal)
Języki publikacji
Abstrakty
The stress model of the hybrid-Trefftz finite element formulation is applied to the elastoplastic analysis of solids. The stresses and the plastic multipliers in the domain of the element and the displacements on its boundary are approximated. Harmonic and orthogonal hierarchical polynomials are used to approximate the stresses, constrained to solve locally the Beltrami governing differential equation. They are derived from the associated Papkovitch-Neuber elastic displacement solution. The plastic multipliers are approximated by Dirac functions defined at Gauss points. The finite element equations are derived directly from the structural conditions of equilibrium, compatibility and elastoplasticity. The non-linear governing system is solved by the Newton method. The resulting Hessian matrices are symmetric and highly sparse. All the intervening arrays are defined by boundary integral expressions or by direct collocation. Numerical applications are presented to illustrate the performance of the model.
Słowa kluczowe
Rocznik
Tom
Strony
235--246
Opis fizyczny
Bibliogr. 18 poz, rys., tab., wykr.
Twórcy
autor
- Agrupamento de Estruturas, Instituto de Pesquisas Tecnológicas do Estado de São Paulo, São Paulo, Brasil
autor
- Departamento de Engenharia de Estruturas e Fundações, Escola Politécnica da Universidade de São Paulo, São Paulo, Brasil
autor
- Departamento de Engenharia Civil e Arquitectura, Instituto Superior Técnico, Universidade Técnica de Lisboa, Lisboa, Portugal
Bibliografia
- [1] ABAQUS, Standard, Version 5.7, Hibbit, Karlsson & Sorensen, Inc., (1997).
- [2] J.P.M. ALMEIDA. Janela: Uma Interface Gráfica Destinada a aplicações de Mecânica Computacional, versão preliminar, Instituto Superior Técnico, (1992). [3] C.A. BREBBIA, J.C.F. Telles, J.C.F., L.C. Wrobel. Boundary Element Techniques, Springer Verlag, Berlin, (1984).
- [4] F.L.S. BUSSAMRA. Hybrid-Trefftz finite elements: an elastoplastic model for three-dimensional solids (in Portuguese), Ph.D. thesis, Escola Politécnica, Universidade de São Paulo, Brazil, (1999).
- [5] L.M.S.S. Wavelets and Walsh series for the finite element method, (in Portuguese), Ph.D. thesis, Instituto Superior Técnico, Technical University of Lisbon, Portugal, (1996).
- [6] I. CISMASIU, J.P.M. ALMEIDA, L.M.S.S. CASTRO, D.C. HARBIS. Parallel solution techniques for hybrid-mixed finite element models, in M. Papadrakakis and B.H.V. Topping (eds.) Innovative Computational Methods for Structural Mechanics, Saxe-Coburg Publications, (1999).
- [7] J.A.T. FREITAS, F.L.S. BUSSAMRA. Three-dimensional hybrid-Trefftz stress elements, International Journal for Numerical Methods in Engineering, 47:927-950, (2000).
- [8] P.M. PIMENTA. “Analysis of elastoplastic solids” (in Portuguese), Associate Professor Thesis, Escola Politécnica da Univesidade de São Paulo, Brazil, (1987).
- [9] P.M. PIMENTA, P. GOLDENBERG, M.S. MEDRANO. Applications of mathematical programming to the elastoplastic analysis of solids and structures, in: XV CILAMCE, XV Congresso Ibero LatinoAmericano de M´etodos Computacionais em Engenharia, São Paulo, Brazil, p.1220-1229, (1993).
- [10] J.A.T. FREITAS. Formulation of elastostatic hybrid-Trefftz stress elements, Computer Methods in Applied Mechanics and Engineering, 153:127-151, (1998).
- [11] J.A.T. FREITAS, J.P.M. ALMEIDA, F.B.E. VIRTUOSO. Nonlinear analysis of space trusses, Meccanica, 20:144-150, (1985).
- [12] J.A.T. FREITAS, J.P.M. ALMEIDA, E.M.B.R. PEREIRA. Non-conventional formulations for the finite element method, Computational Mechanics, 23:420-429, (1999).
- [13] J.A.T. FREITAS, C. CISMASIU. Numerical implementation of hybrid-Trefftz displacement elements, Computers and Structures, 4:1-19, (1999).
- [14] J.A.T. FREITAS, C. CISMASIU, Z.M. WANG. Comparative analysis of hybrid-Trefftz stress and displacement elements, Archives of Computer Methods in Engineering, 6:35-59, (1999).
- [15] J.A.T. FREITAS, Z.Y. JI. Hybrid-Trefftz boundary integral formulation for the simulation of singular stress fields, International Journal for Numerical Methods in Engineering, 39:281-308, (1996).
- [16] J.A.T. FREITAS, Z.Y. JI. Hybrid-Trefftz equilibrium model for crack problems, International Journal for Numerical Methods in Engineering, 39:569-584, (1996).
- [17] J.A.T. FREITAS, Z.M. WANG. Hybrid-Trefftz elements for elastoplasticity, International Journal for Numerical Methods in Engineering, 43:655-683, (1998).
- [18] G. MAIER, S. MICCOLI, G. NOVATI, U. PEREGO. “Symmetric Galerkin boundary element method in plasticity and gradient plasticity”, Computational Mechanics, 16:1-15, (1995).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0006-0041