Topology description function based method for material design

Acta Mechanica Solida Sinica

Volumn 19, Issue 2, 2006, Pages 95-102

  Xianfan, Cao ^a   Shutian, Liu ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

material design; topology description function; topology optimization

Indexed keywords

BASIS FUNCTIONS; CONSTITUENT MATERIALS; DESIGN DOMAINS; DESIGN PROBLEMS; DESIGN VARIABLES; DIFFERENCE METHODS; HAMILTON-JACOBI; HIGH QUALITIES; LEVEL SET METHODS; MATERIAL DESIGN; MATERIAL MICROSTRUCTURES; NEGATIVE POISSON'S RATIOS; OPTIMIZATION PROBLEMS; OPTIMIZATION TECHNIQUES; POISSON'S RATIOS; SIZE OPTIMIZATIONS; TOPOLOGY DESCRIPTION FUNCTION; TOPOLOGY OPTIMIZATION; UNIT CELLS; VARIABLE DENSITIES;

DESIGN; LEVEL MEASUREMENT; MATERIALS; MECHANICAL PROPERTIES; MICROSTRUCTURE; POISSON DISTRIBUTION; POISSON EQUATION; POISSON RATIO; STRUCTURAL OPTIMIZATION; TOPOLOGY;

DESCRIBING FUNCTIONS;

EID: 65449142405     PISSN: 08949166     EISSN: 18602134     Source Type: Journal    
DOI: 10.1007/s10338-006-0611-y     Document Type: Article

References (15)

1. Eschenauer H.A., and Olhoff N. Topology optimization of continuum structures: A review. Applied Mechanics Reviews 54 4 (2001) 331-389
2. Larsen U.D., Sigmund O., and Bouwstra S. Design and fabrication of compliant micromechanisms and structures with negative Poisson's ratio. J Microelectromechanical Systems 6 2 (1997) 99-106
3. Bendsoe M.P., and Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering 72 (1988) 197-224
4. Sigmund O. Design of material structures using topology optimization. In: Olhoff N., and Rozvany G. (Eds). WCSMO-1-First World Congress of Structural and Multidisciplinary Optimization (1995), Pergamon Press, Oxford/UK
5. Sigmund O., and Torquato S. Design of materials with extreme thermal expansion using a three-phase topology optimization method. J. Mech. Phys. Solids 45 6 (1997) 1037-1067
6. Liu S.T., and Cao X.F. Design optimization of material with zero thermal expansion coefficients and design verification with numerically simulated experiments. Acta Materiae Compositae Sinica 22 1 (2005) 126-132 (in Chinese).
7. Wang X., Mei Y., and Wang M.Y. Level set method for design of multi-phase elastic and thermoelastic materials. Int J of Mechanics and Materials in Design 1 3 (2004) 213-219
8. Sigmund O. Numerical instabilities in topology optimization: a survey on procedure dealing with checkerboards, mesh-dependencies and local Minima. Structural Optimization 16 1 (1998) 68-75
9. Bourdin B. Filters in topology optimization. Int J for Numerical Methods in Engineering 50 9 (2001) 2143-2158
10. Luo Z., Chen L.P., Zhang Y.Q., and Huang Y.Y. Multi-stiffness topological optimization for continuum structures with multiple loading cases and a duplicate sensitivity filtering method. Acta Mechanica Solida Sinica 26 1 (2005) 29-36
11. Zhou M., Shyy Y.K., and Thmoas H.L. Checkerboard and minimum member size control in topology optimization. Structural and Multidisciplinary Optimization 21 2 (2001) 152-158
12. Stanley O., and Sethian J.A. Fronts propagating with curvature-dependent speed: Algorithm based on Hamilton-Jacobi formulations. Journal of Computational Physics 79 (1988) 12-49
13. Guo X., and Zhao K. A new topology description function based approach for structural topology optimization. Acta Mechanica Sinica 36 5 (2004) 520-526 (in Chinese).
14. Ruiter M.J.d., and Keulen F.v. Topology optimization using a topology description function. Structural and Multidisciplinary Optimization 26 6 (2004) 406-416
15. Liu S.T., Zheng X.G., and Cheng G.D. Microstructure design optmization of materials with specific elastic properties. Acta Materiae Compositae Sinica 18 2 (2001) 124-127 (in Chinese).