Shape optimization of two-phase inelastic material with microstructure

Engineering Computations (Swansea, Wales)

Volumn 22, Issue 5-6, 2005, Pages 605-645

  Ibrahimbegović, Adnan ^a   Grešovnik, Igor ^a,b   Markovič, Damijan ^a,c   Melnyk, Sergiy ^a   Rodič, Tomaž ^b,c  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b Centre for Computational Continuum Mechanics   (Slovenia)

^c UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

Modelling; Optimization techniques; Structures

Indexed keywords

COMPUTATION THEORY; COSTS; MECHANICS; MICROSTRUCTURE; OPTIMIZATION; PLASTICITY;

COST FUNCTION; INELASTIC MECHANISMS; MATERIAL MICROSTRUCTURE;

ELASTICITY;

EID: 23844453639     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400510603032     Document Type: Review

References (26)

1. Bängtsson, E., Noreland, D. and Berggren, M. (2003), "Shape optimization of an acoustic horn", Comput. Methods. Appl. Mech. Eng., Vol. 192 Nos 11/12, pp. 1533-71.
2. Bonnans, J.F., Panier, E.R., Tits, A.L. and Zhou, J.L. (1992), "Avoiding the Maratos effect by means of a nonmonotone line search. II: inequality constrained problems - feasible iterates", SIAM J. Numer. Anal., Vol. 29, pp. 1187-202.
3. Dennis, J.E. Jr and Schnabel, R.B. (1996), Numerical Methods for Unconstrained Optimization and Nonlinear Equations, SIAM, Philadelphia, PA.
4. Fletcher, R. (1996), Practical Methods of Optimization, 2nd ed., Wiley, New York, NY.
5. Grešovnik, I. (n.d.), "Quick introduction to optimization shell inverse", available at: www.c3m.si/inverse/doc/ other/.
6. Grešovnik, I. (2000), "A general purpose computational shell for solving inverse and optimisation problems - applications to metal forming processes", PhD thesis, University of Wales Swansea, available at: www.c3m.si/inverse/doc/phd.
7. Grešovnik, I. and Rodič, T. (1999), "A general-purpose shell for solving inverse and optimisation problems in material forming", in COVAS and Antonio, J. (Eds), Proc. 2nd ESAFORM Conf. on Material Forming, Guimaraes, Portugal, pp. 497-500.
8. Grešovnik, I. and Rodič, T. (2003), "An integral approach to optimization of forming technology", Proceedings the 5th World Congress of Structural and Multidiscliplinary Optimization, Lido di Jesolo, Italy.
9. Ibrahimbegovic, A. and Knopf-Lenoir, C. (2003), "Shape optimisation of elastic structural systems undergoing large rotations: simultaneous solution procedure", Computer Model. Eng. Sci., Vol. 4, pp. 337-44.
10. Ibrahimbegovic, A. and Markovic, D. (2003), "Strong coupling methods in multiphase and multiscale modeling of inelastic behavior of heterogeneous structures", Comput. Meth. Appl. Mech. Eng., Vol. 192, pp. 3089-107.
11. Ibrahimbegovic, A., Markovic, D. and Gatuingt, F. (2003), "Constitutive model of coupled damage-plasticity and its finite element implementation", Europ. J. Finite Element, Vol. 12, pp. 381-405.
12. Ibrahimbegovic, A., Knopf-Lenoir, C., Kucerova, A. and Villon, P. (2004), "Optimal design and optimal control of elastic structures undergoing finite rotations and deformations", Int. J. Numer. Meth. Eng. (in press)..
13. Kleiber, M., Autmer, H., Hoen, T.D. and Kowalezyk, P. (1997), Parameter Sensitivity in Nonlinear Mechanics: Theory and Finite Element Computations, Wiley, New York, NY.
14. Lawrence, C.T. and Tits, A.L. (1996), "Nonlinear equality constraints in feasible sequential quadratic programming", Optimization Methods and Software, Vol. 6, pp. 265-82.
15. Lawrence, C.T., Zhou, J.L. and Tits, A.L. (1995), User's Guide for CFSQP Version 2.3: A C Code for Solving (Large Scale) Constrained Nonlinear (Minimax) Optimization Problems, Generating Iterates Satisfying All Inequality Constraints, Institute for Systems Research, College Park, MD.
16. Markovic, D., Ibrahimbegovic, A., Niekamp, R. and Matthies, H. (2004), "Parallelized algorithm for multi-scale modeling of hetergeneous structures with inelastic constitutive behavior", Proceedings NATO-ARW, Bled, Slovenia, June.
17. Markovic, D., Niekamp, R., Ibrahimbegovic, A., Matthies, H. and Taylor, R.L. (n.d.), "Multi-scale modeling of heterogeneous structures with inelastic constitutive behavior. Part I: Physical and mathematical aspects", Eng. Computing, Vol. 22 Nos 5/6.
18. Melnyk, S. (2004), "Shape optimization of inclusion in a heterogeneous material", MSc thesis, ENS-Cachan (in French).
19. Panier, E. and Tits, A.L. (1993), "On combining feasibility, descent and superlinear convergence in inequality constrained optimization", Mathematical Programming, Vol. 59, pp. 261-76.
20. Pian, T.H.H. and Sumihara, K. (1984), "Rational approach for assumed stress finite elements", Int. J. Numer. Meth. Eng., Vol. 20, pp. 1638-85.
21. Rodič, T. and Gresovnik, I. (1998), "A computer system for solving inverse and optimization problems", Eng. Computer, Vol. 15 No. 7, pp. 893-907.
22. Taylor, R.L. (2004), FEAP: Finite Element Analysis Program - User's Manual, available at: www.uc.ce.edu/rtl.
23. Tortorelli, D.A. and Michaleris, P. (1994), "Design sensitivity analysis: overview and review", Inverse Prob. Eng., Vol. 1, pp. 71-105.
24. Tsay, J.J. and Arora, J.S. (1990), "Nonlinear structural design sensitivity analysis for path dependent problems. Part i and ii", Comput. Meth. Appl. Mech. Eng., Vol. 81, pp. 183-228.
25. Wang, M.Y., Wang, X. and Guo, D. (2003), "A level set method for structural topology optimization", Comput. Methods. Appl. Mech. Eng., Vol. 192, pp. 227-46.
26. Wriggers, P. and Zohdi, T.I. (2001), "Computational testing of new materials", Proceedings ECCM 2001, Crackow, Poland.