A First Step Towards the Use of Proper General Decomposition Method for Structural Optimization

Archives of Computational Methods in Engineering

Volumn 17, Issue 4, 2010, Pages 465-472

  Leygue, A ^a   Verron, E ^a  

^a INSTITUT DE RECHERCHE EN GÉNIE CIVIL ET MÉCANIQUE GEM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DECOMPOSITION METHODS; KNOW-HOW; NUMERICALLY TRACTABLE; OPTIMIZATION PARAMETER; OPTIMIZATION SCHEME; POSTERIORI; STRUCTURAL PROBLEMS;

COST FUNCTIONS; COSTS; PROFITABILITY; SHAPE OPTIMIZATION; STRUCTURAL DESIGN; TECHNOLOGY TRANSFER;

STRUCTURAL OPTIMIZATION;

EID: 78549253451     PISSN: 11343060     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11831-010-9052-3     Document Type: Article

References (9)

1. Ammar A, Mokdad B, Chinesta F, Keunings R (2006) A new family of solvers for some, classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids. J Non-Newton Fluid Mech 139(3): 153-176.
2. Ammar A, Mokdad B, Chinesta F, Keunings R (2007) A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids-part ii: Transient simulation using space-time separated representations. J Non-Newton Fluid Mech 144(2-3): 98-121.
3. Arora JS, Wang Q (2005) Review of formulations for structural and mechanical system optimization. Struct Multidiscip Optim 30(4): 251-272.
4. Chinesta F, Ammar A, Joyot P (2008) The nanometric and micrometric scales of the structure and mechanics of materials revisited: an introduction to the challenges of fully deterministic numerical descriptions. Int J Multiscale Comput Eng 6(3): 191-213.
5. Chinesta F, Ammar A, Cueto E (2009) Recent advances in the use of the proper generalized decomposition for solving multidimensional models. Arch Comput Methods Eng. doi: 10. 1007/s11831-010-9049-y.
6. Fuchs M (1982) Explicit optimum design. Int J Solid Struct 18(1): 13-22.
7. Fuchs M (1983) Explicit optimum design technique for linear elastic trusses. Eng Optim 6(4): 213-218.
8. Rozvany GIN (2009) A critical review of established methods of structural topology optimization. Struct Multidiscip Optim 37(3): 217-237.
9. Schmit L, Fox R (1965) An integrated approach to structural synthesis and analysis. AIAA J 3(6): 1104.