Application of dual kriging to structural shape optimization based on the boundary contour method

Archive of Applied Mechanics

Volumn 68, Issue 7-8, 1998, Pages 539-551

  Phan, Anh Vũ ^a   Trochu, F ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Boundary contour method; Boundary element method; Dual kriging; Shape optimization

Indexed keywords

BOUNDARY ELEMENT METHOD; CONSTRAINT THEORY; INTERPOLATION; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; STRUCTURAL ANALYSIS;

BOUNDARY CONTOUR METHOD; DUAL KRIGING;

MECHANICS;

EID: 0032155022     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190050185     Document Type: Article

References (19)

1. Queau, J. P.; Trompette, P.: Two-dimensional shape optimal design by the finite element method. Int. J. Numer. Methods Eng. 15 (1980) 1603-1612
2. Yang, R. J.: Component shape optimization using BEM. Comput. Struct. 37 (1990) 561-568
3. Phan, A. -V.; Mukherjee, S.; Mayer, J. R. R.: A boundary contour formulation for design sensitivity analysis in two-dimensional linear elasticity. Int. J. Solids Struct. 35 (1998) 1981-1999
4. Phan, A. -V.; Mukherjee, S.; Mayer, J. R. R.: Stresses, stress sensitivities and shape optimization for two-dimensional linear elasticity by the boundary contour method. Int. J. Numer. Methods Eng. (1998, in press)
5. Hsu, Y. L.; Sheppard, S. D.; Wilde, D. J.: The curvature function method for two-dimensional shape optimization under stress constraints. Comput. Struct. 55 (1995) 647-657
6. Hall, W. S.: The Boundary Element Method. Dordrecht: Kluwer Academic Publishers 1994
7. Nagarajan, A.; Lutz, E. D.; Mukherjee, S.: A novel boundary element method for linear elasticity with no numerical integration for two-dimensional and line integrals for three-dimensional problems. Trans. ASME J. Appl. Mech. 61 (1994) 264-269
8. Nagarajan, A.; Lutz, E. D.; Mukherjee, S.: The boundary contour method for three-dimensional linear elasticity. Trans. ASME J. Appl. Mech. 63 (1996) 278-286
9. Phan, A. -V.; Mukherjee, S.; Mayer, J. R. R.: The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements. Comput. Mech. 20 (1997) 310-319
10. Trochu, F.: A contouring program based on dual kriging interpolation. Eng. with Computers 9 (1993) 160-177
11. Sandgren, E.; Wu, S. J.: Shape optimization using the boundary element method with substructuring. Int. J. Numer. Methods Eng. 26 (1988) 1913-1924
12. Choi, J. H.; Kwak, B. M.: Boundary integral equation method for shape optimization of elastic structures. Int. J. Numer. Methods Eng. 26 (1988) 1579-1595
13. Tafreshi, A.; Fenner, R. T.: General-purpose computer program for shape optimization of engineering structures using the boundary element method. Comput. Struct. 56 (1995) 713-720
14. Wei, X.; Chandra, A.; Leu, L. J.; Mukherjee, S.: Shape optimization in elasticity and elasto-viscoplasticity by the boundary element method. Int. J. Solids Struct. 31 (1994) 533-550
15. Haftka, R. T.; Gürdal, Z.; Kamat, M .P.: Elements of Structural Optimization. Dordrecht: Kluwer Academic Publishers 1990
16. IMSL C/Math/Library. Visual Numerics 1995
17. Rizzo, F. J.: An integral equation approach to boundary value problems of classical elastostatics. Quart. Appl. Math. 25 (1967) 83-95
18. LIBRAIRIE LIBKRIG Version 1.0. École Polytechnique de Montréal 1995.
19. Banichuk, N. V.: Problems and Methods of Optimal Structural Design. New York: Plenum Press 1983