Wolff's law based topology optimization for continuum structure

Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics

Volumn 38, Issue 4, 2006, Pages 514-521

  Cai, Kun ^a   Zhang, Hongwu ^a   Chen, Biaosong ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Anisotropy; Fabric tensor; Porous media; Rule based approach; Topology optimization; Wolff's law

Indexed keywords

ANISOTROPY; BIOMECHANICS; BONE; CELLS; CONDENSATION; GLOBAL OPTIMIZATION; MICROSTRUCTURE; POROUS MATERIALS; STIFFNESS; STRAIN; STRESSES; TOPOLOGY;

FABRIC TENSOR; POROUS MEDIA; RULE BASED APPROACH; TOPOLOGY OPTIMIZATION; WOLFF'S LAW;

STRUCTURAL DESIGN;

EID: 33748678551     PISSN: 04591879     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Bendsøe MP, Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 1988, 71(3): 197-224
2. Bendsøe MP. Optimal shape design as a material distribution problem. Structural Optimization, 1989, 1: 193-202
3. Mei YL, Wang XM. A level set method for structural topology optimization and its applications. Advances in Engineering Software, 2004, 35(7): 415-441
4. Rodriguez-Velazquez J, Seireg A. Optimizing the shapes of structures via a rule based computer program. Computers in Mechanical Engineering, 1985, 4(1): 2-28
5. Baumgartner A, Harzheim L, Mattheck C. SKO (soft kill option): the biological way to find an optimum structure topology. International Journal of Fatigue, 1992, 14(6): 387-393
6. Xie YM, Steven GP. A simple evolutionary procedure for structural optimization. Computers and Structures, 1993, 49(5): 885-896
7. Liang QQ, Xie YM, Steven GP. Optimal topology selection of continuum structures with displacement constraints. Computers and Structures, 2000, 77(6): 635-644
8. Wolff J. The Law of Bone Remodelling. Maquet P, Furlong R, trans. Berlin: Verlag, 1986
9. Bagge M. A model of bone adaptation as an optimization process. Journal of Biomechanics, 2000, 33(11): 1349-1357
10. Harrigan TP, Mann RW. Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor. Journal Material Science, 1984, 19(3): 761-767
11. Cowin SC. The relationship between the elasticity tensor and the fabric tensor. Mechanics of Materials, 1985, 4(2): 137-147
12. Cowin SC. Wolff's law of trabecular architecture at remodelling equilibrium. Journal of Biomechanical Engineering, 1986, 108(1): 83-88
13. Odgaard A, Kabel J, van Rietbergen B, et al. Fabric and elastic principal directions of cancellous bone are closely related. Journal of Biomechanics, 1997, 30(5): 487-495
14. Zysset PK, Curnier A. An alternative model for anisotropic elasticity based on fabric tensors. Mechanics of Materials, 1995, 21(4): 243-250
15. He QC, Curnier A. A more fundamental approach to damaged elastic stress-strain relations. International Journal of Solids and Structures, 1995, 32(10): 1433-1457