A discrete level-set topology optimization code written in Matlab

Structural and Multidisciplinary Optimization

Volumn 41, Issue 3, 2010, Pages 453-464

  Challis, Vivien J ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Education; Level set method; Matlab code; Topology optimization

Indexed keywords

CODE MODIFICATIONS; DISCRETE LEVELS; FINITE ELEMENT SOLVER; LEVEL-SET METHOD; LOADED STRUCTURES; MATLAB CODE; MULTIPLE LOAD CASE; SIMP METHOD; SOLID ISOTROPIC MATERIAL WITH PENALIZATION METHODS; TOPOLOGY OPTIMIZATION;

OPTIMIZATION; TOPOLOGY;

MATLAB;

EID: 78650881699     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-009-0430-0     Document Type: Article

References (18)

1. Allaire G, Pantz O (2006) Structural optimization with FreeFem++. Struct Multidiscipl Optim 32:173-181 (Pubitemid 44157776)
2. Allaire G, Jouve F, Toader A-M (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194:363-393 (Pubitemid 38184245)
3. Allaire G, de Gournay F, Jouve F, Toader A-M (2005) Structural optimization using topological and shape sensitivity via a level set method. Control Cybern 34(1):59-80
4. Bendsøe MP, Sigmund O (2004) Topology optimization: theory, methods and applications, 2nd edn. Springer, Berlin
5. Burger M, Hackl B, Ring W (2004) Incorporating topological derivatives into level set methods. J Comput Phys 194:344-362 (Pubitemid 38184244)
6. Challis VJ, Guest JK (2009) Level-set topology optimization of fluids in Stokes flow. Int JNumer Methods Eng 79:1284-1308
7. Challis VJ, Roberts AP, Wilkins AH (2008a) Design of three dimensional isotropic microstructures for maximized stiffness and conductivity. Int J Solids Struct 45:4130-4146
8. Challis VJ, RobertsAP, WilkinsAH(2008b) Fracture resistance via topology optimization. Struct Multidiscipl Optim 36:263-271
9. de Gournay F, Allaire G, Jouve F (2008) Shape and topology optimization of the robust compliance via the level set method.ESAIM COCV 14(1):43-70
10. Luo J, Luo Z, Chen L, Tong L, Wang MY (2008a) A semiimplicit level set method for structural shape and topology optimization. J Comput Phys 227:5561-5581
11. Luo J, Luo Z, Chen S, Tong L, Wang MY (2008b) A new level set method for systematic design of hinge-free compliant mechanisms. Comput Methods Appl Mech Eng 198: 318-331
12. Osher S, Fedkiw R (2002) Level set methods and dynamic implicit surfaces. Applied mathematical sciences, vol 153. Springer, New York
13. Osher SJ, Santosa F (2001) Level set methods for optimization problems involving geometry and constraints I. Frequencies of a two-density inhomogeneous drum. J Comput Phys 171:272-288 (Pubitemid 33667119)
14. Osher SJ, Sethian JA (1988) Fronts propagating with curvature dependent speed: algorithms based on the Hamilton-Jacobi formulation. J Comput Phys 79:12-49
15. Sethian JA (1999) Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision and materials science. Cambridge Monographs on Applied and Computational Mathematics, vol 3, 2nd edn. Cambridge University Press, Cambridge
16. Sethian JA, Wiegmann A (2000) Structural boundary design via level set and immersed interface methods. J Comput Phys 163(2):489-528
17. Sigmund O (2001) A 99 line topology optimization code written in Matlab. Struct Multidiscipl Optim 21:120-127 (Pubitemid 32535047)
18. Wang MY, Wang X, Guo D (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192:227-246 (Pubitemid 36080904)