Discrete material optimization of general composite shell structures

International Journal for Numerical Methods in Engineering

Volumn 62, Issue 14, 2005, Pages 2009-2027

  Stegmann, J ^a   Lund, E ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

Composite laminates; Design sensitivity analysis; Multiphase material optimization; Shell structures; Topology optimization

Indexed keywords

CANTILEVER BEAMS; COMPOSITE MATERIALS; LAMINATES; MATHEMATICAL PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING; TOPOLOGY;

DISCRETE MATERIAL OPTIMIZATION (DMO); FIBER ANGLE; LAMINATE SHELLS; PARAMETERIZATION;

SHELLS (STRUCTURES);

OPTIMIZATION; STRUCTURAL COMPONENT;

EID: 15844405809     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1259     Document Type: Article

References (22)

1. MUST. Institute of Mechanical Engineering, Aalborg University, January 2004, www.ime.aau.dk/must.
2. Dvorkin N, Bathe K-J. A continuum mechanics based four-node shell element for general non-linear analysis. Journal of Engineering Computations 1984; 1:77-88.
3. Pedersen P. On thickness and orientational design with orthotropic materials. Structural Optimization 1991; 3:69-78.
4. Masur EF. Optimum stiffness and strength of elastic structures. Journal of the Engineering Mechanics Division (ASCE) 1970; 96 621-640.
5. Svanberg K. The method of moving asymptotes-a new method for structural optimization. Numerical Methods in Engineering 1987; 24 359-373.
6. Prager W. Optimization of structural design. Journal of Optimization Theory and Applications 1970; 6:1-21.
7. Luo JH, Gea HC. Optimal bead orientation of 3D shell/plate structures. Finite Elements in Analysis and Design 1998; 31:55-71.
8. Bruyneel M, Fleury C. Composite structures optimization using sequential convex programming. Advances in Engineering Software 2002; 33 697-711.
9. Moita JS, Infante Barbosa J, Mota Soares CM, Mota Soares CA. Sensitivity analysis and optimal design of geometrically non-linear laminated plates and shells. Computers and Structures 2000; 79:407-420.
10. Tsai SW, Pagano NJ. Invariant properties of composite materials. Composite Materials Workshop. Technomic Publishing Co: Stamfort, CT, U.S., 1968; 233-253.
11. Miki M, Sugiyama Y. Optimum design of laminated composite plates using lamination parameters. AIAA Journal 1993; 31:921-922.
12. Foldager J, Hansen JS, Olhoff N. Optimization of the buckling load for composite structures taking thermal effects into account. Structural and Multidisciplinary Optimization 2001; 21:14-31.
13. Holland JH. Adaptation in Natural and Artificial Systems. University of Michigan Press: Ann Arbor, MI, 1975.
14. Le Riche R, Haftka RT. Optimization of laminate stacking sequence for buckling load maximization by generic algorithm. AIAA Journal 1993; 31:951-956.
15. Adali S, Richter A, Verijenko VE, Summers EB. Optimal design of hybrid laminates with discrete ply angles for maximum buckling load and minimum cost. Composite Structures 1995; 32:409-415.
16. BOSS Quattro. Samtech Group: January 2004, www.samtech.fr.
17. Sigmund O, Torquato S. Design of materials with extreme thermal expansion using a three-phase topology optimization method. Journal of the Mechanics and Physics of Solids 1997; 45:1037-1067.
18. Gibiansky LV, Sigmund O. Multiphase composites with extremal bulk modulus. Journal of the Mechanics and Physics of Solids 2000; 48:461-498.
19. Sigmund O. Design of multiphysics actuators using topology optimization-Part II: two-material structures. Computer Methods in Applied Mechanics and Engineering 2001; 190:6605-6627.
20. Sigmund O. On the design of compliant mechanisms using topology optimization. Mechanics of Structures and Machines 1997; 25 493-524.
21. Bendsøe MP, Sigmund O. Topology Optimization-Theory, Methods and Applications (2nd edn). Springer: Berlin, 2003.
22. Bozhevolnaya E, Lyckegaard A. Structurally graded core inserts in sandwic panels. Composite Structures, 2004, in press.