Reinforced 2d domain analysis using BEM and regularized BEM/FEM combination

CMES - Computer Modeling in Engineering and Sciences

Volumn 8, Issue 1, 2005, Pages 15-28

  Botta, Alexandre S ^a   Venturini, Wilson S ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

BEM FEM combination; Boundary elements; Reinforcements

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; FIBER REINFORCED PLASTICS; FINITE ELEMENT METHOD; GALERKIN METHODS; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; POISSON RATIO; REINFORCEMENT; STRAIN; TWO DIMENSIONAL;

BEM/FEM COMBINATIONS; BOUNDARY ELEMENTS; ELASTIC BODIES; HOOKE'S LAW;

BOUNDARY ELEMENT METHOD;

EID: 19944398520     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Atluri, S.N..; Han Z.D..; Shen, S. (2003): Meshless Local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular Traction & displacement boundary integral equations, CMES: Computer Modeling in Engineering & Sciences, vol. 4, no. 5, pp. 507-518.
2. Bonnet, M..; Maier, G..; Polizzotto, C. (1998): Symetric Galerkin boundary element method, Appl. Mech. Rev., vol. 51, pp. 669-704.
3. Brebbia, C.A..; Dominguez, J. (1992): Boundary elements: an introductory course, Comp. Mech. Publ., Southampton.
4. Coda, H.B..; Venturini, W.S. (1995): Three-dimensional transient BEM analysis, Computer & Structures, Vol. 56, no. 5, pp. 751-768.
5. Coda, H.B..; Venturini, W.S. (1999): On the coupling of 3D BEM and FEM frame model applied to elastodynamic analysis, International Journal of Solids and Structures, vol. 36, no. 31-32, pp. 4789-4804.
6. Coda, H.B..; Venturini, W.S..; Aliabadi, M.H. (1999): A general 3D BEM/FEM coupling applied to elastody namic continua/frame structures interaction analysis, International Journal for Numerical Methods in Engineering, vol. 46, no. 5, pp. 695-712.
7. Coda, H.B. (2001): Dynamic and static non-linear analysis of reinforced media: a BEM/FEM coupling approach, Computers & Structures, vol. 79, pp. 2751-2765.
8. Comité Euro-International du Béton CEB/FIP Structural Concrete (1999): Textbook on Behaviour, Design and Performance, vol. 1.
9. Cruse, T.A. (1969): Numerical solutions in three-dimensional elastostatics, International Journal of Solids and Structures, vol. 5, pp. 1259-1274.
10. Han, Z.D..; Atluri, S.N. (2003) a: On simple formulations of weakly-singular traction & displacements BE, and their solutions through Petrov-Galerkin Approaches, CMES: Computer Modeling in Engineering & Sciences, vol. 4, no. 1, pp. 5-20.
11. Han, Z.D..; Atluri, S.N. (2003)b: Truly Meshless Local Petrov-Galerkin (MLPG) solutions of traction & displacements BIEs, CMES: Computer Modeling in Engineering & Sciences, vol. 4, no. 6, pp. 665-678.
12. Leite, L.G.S..; Coda, H.B..; Venturini, W.S. (2003): Two-dimensional solids reinforced by thin bars using the boundary element method, Engineering Analysis with Boundary Elements, vol. 27, no. 3, pp.193-201.
13. Okada, H..; Rajiyah, H..; Atluri, S.N. (1989)a: A novel displacement gradient boundary element method for elastic stress analysis with high accuracy, Journal of Applied Mechanics, April 1989, pp. 1-9.
14. Okada, H..; Rajiyah, H..; Atluri, S.N. (1989)b: Non-hyper-singular integral representations for velocity (displacements) gradients in elastic plastic solids (small or finite deformation), Computational Mechanics, vol. 4, pp. 165-175.
15. st Symposium on innovative Numerical analysis in applied engineering science, Versailles, Cetin.
16. st Symposium on innovative Numerical analysis in applied engineering science, Versailles, Cetin.
17. Rizzo, P.J. (1967): An integral equation approach to boundary value problems of classical elastostatics, Quart. Appl. Math., vol. 25, pp. 83-95.
18. nd Boundary Element Technology Conference, MIT, Massachusetts, USA, Proceedings, 675-686.
19. Venturini, W.S. (1992): Alternative formulations of the boundary element method for potential and elastic zoned problems, Engineering Analysis with Boundary Elements, vol. 9, no. 3, pp. 203-207.
20. Zienkiewicz, O.C., Kelly, D.W. & Bettess, P. (1997) The coupling of the finite element method and boundary solution problems. International Journal for Numerical Methods in Engineering, 11: 355-375.