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Layout design of reinforced concrete structures using two-material topology optimization with Drucker-Prager yield constraints.
- Source :
-
Structural & Multidisciplinary Optimization . Jan2013, Vol. 47 Issue 1, p95-110. 16p. - Publication Year :
- 2013
-
Abstract
- This paper aims to develop a method that can automatically generate the optimal layout of reinforced concrete structures by incorporating concrete strength constraints into the two-material topology optimization formulation. The Drucker-Prager yield criterion is applied to predict the failure behavior of concrete. By using the power-law interpolation, the proposed optimization model is stated as a minimum compliance problem under the yield stress constraints on concrete elements and the material volume constraint of steel. The ε-relaxation technique is employed to prevent the stress singularity. A hybrid constraint-reduction strategy, in conjunction with the adjoint-variable sensitivity information, is integrated into a gradient-based optimization algorithm to overcome the numerical difficulties that arise from large-scale constraints. It can be concluded from numerical investigations that the proposed model is suitable for obtaining a reasonable layout which makes the best uses of the compressive strength of concrete and the tensile strength of steel. Numerical results also reveal that the hybrid constraint-reduction strategy is effective in solving the topology optimization problems involving a large number of constraints. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1615147X
- Volume :
- 47
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Structural & Multidisciplinary Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 84581482
- Full Text :
- https://doi.org/10.1007/s00158-012-0809-1