The MLPG mixed collocation method for material orientation and topology optimization of anisotropic solids and structures

CMES - Computer Modeling in Engineering and Sciences

Volumn 30, Issue 1, 2008, Pages 37-56

  Li, Shu ^a   Atluri, S N ^b  

^a BEIHANG UNIVERSITY   (China)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Collocation; Material axes orientation optimization; Meshless method; Mixed method; MLPG; Orthotropy; Topology optimization

Indexed keywords

OPTIMIZATION; TOPOLOGY;

COLLOCATION; MESHLESS METHOD; MIXED METHOD; MLPG; ORTHOTROPY; TOPOLOGY OPTIMIZATION;

STRUCTURAL OPTIMIZATION;

EID: 55349123235     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Atluri, S.N.; Zhu, T. (1998): A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Computational Mechanics, 22, 117-127.
2. Atluri, S.N.; Shen, S.P. (2002a): The meshless local Petrov-Galerkin (MLPG) method: A simple & less-costly alternative to the finite element and boundary element methods, CMES: Computer Modeling in Engineering and Sciences, 3 (1), 11-51.
3. Atluri, S.N.; Shen, S. (2002b): The Meshless Local Petrov-Galerkin (MLPG) Method, Tech Science Press.
4. Atluri, S.N. (2004): The Meshless Method(MLPG) for Domain & BIE Discretizations, Tech Science Press.
5. Atluri, S.N.; Liu, H.T.; Han, Z.D. (2006): Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems, CMES: Computer Modeling in Engineering & Sciences, 14 (3), 141-152.
6. Bendsoøe, M.P.; Kikuchi, N. (1988): Generating optimal topologies in optimal design using a homogenization method, Comp. Meth. Appl. Mech. Engrg., 71, 197-224.
7. Cisilino, A.P. (2006): Topology Optimization of 2D Potential Problems Using Boundary Elements, CMES: Computer Modeling in Engineering & Sciences, 15 (2), 99-106.
8. Goh, C.J.; Yang, X.Q. (2001): Nonlinear Lagrangian Theory for Nonconvex Optimization, Journal of Optimization Theory and Applications, 109(1), 99-121.
9. Khoshnood, A.; Jalali, M.A. (2008): Normal oscillatory modes of rotating orthotropic disks, Journal of Sound and Vibration, 314, 147-160.
10. Li, S.; Atluri, S.N. (2008): Topologyoptimization of structures based on the MLPG Mixed Collocation Method, CMES: Computer Modeling in Engineering & Sciences, 26 (1), 61-74.
11. Norato, J.A.; Bendsoøe, M.P.; Haber, R.B.; Tortorelli, D.A. (2007): A topological derivative method for topology optimization, Struct Multidisc Optim, 33, 375-386.
12. Pedersen, P. (1989): On Optimal Orientation of Orthotropic Materials, Struct. Optim., 1, 101-106.
13. Sigmund, O. (1994): Materials with prescribed constitutive parameters: An inverse homogenization problem, Int. J. Solids Struct., 31, 2313-2329.
14. Sigmund, O. (1997): On the design of compliant mechanisms using topology optimization, J. Mech. Struct. Mach., 25, 493-524.
15. Sigmund, O. (2001): A 99 line topology optimization code written in Matlab, Struct Multidisc Optim., 21, 120-127.
16. Spalatelu-Lazar, M.; Léné, F; Turtlé, N. (2008): Modelling and Optimization of Sails, Computers and Structures, 86, 1486-1493.
17. Vemaganti, K.; Lawrence, W.E. (2005): Parallel methods for optimality criteria-based topology optimization, Comput. Methods Appl. Mech. Engrg., 194, 3637-3667.
18. Wang, S.Y.; Lim, K.M.; Khoo, B.C.; Wang, M.Y. (2007): A Geometric Deformation Constrained Level Set Method for Structural Shape and Topology Optimization, CMES: Computer Modeling in Engineering & Sciences, 18, (3), 155-181.
19. Wang S.Y.; Lim K.M.; Khoo B.C.; Wang M.Y. (2008): A Hybrid Sensitivity Filtering Method for Topology Optimization, CMES: Computer Modeling in Engineering & Sciences, 24 (1), 21-50.
20. Zhou, S.; Wang, M.Y. (2006): 3D Multi-Material Structural Topology Optimization with the Generalized Cahn-Hilliard Equations, CMES: Computer Modeling in Engineering & Sciences, 16(2), 83-101.