Shakedown optimal design of reinforced concrete structures by evolution strategies. (English) Zbl 1112.74460
Summary: Approaches the shakedown optimal design of reinforced concrete (RC) structures, subjected to variable and repeated external quasi-static actions which may generate the well-known shakedown or adaptation phenomenon, when constraints are imposed on deflection and/or deformation parameters, in order to simulate the limited flexural ductility of the material, in the presence of combined axial stress and bending. Within this context, the classical shakedown optimal design problem is revisited, using a weak upper bound theorem on the effective plastic deformations. For this problem a new computational algorithm, termed evolution strategy, is herein presented. This algorithm, derived from analogy with the biological evolution, is based on random operators which allow one to treat the areas of steel reinforcements at each RC cross-section of the structure as design variables of discrete type, and to use refined non-linear approximations of the effective bending moment – axial force M-N interaction diagrams of each RC cross-section. The results obtained from case studies available in the literature show the advantages of the method and its effectiveness.
MSC:
| 74P10 | Optimization of other properties in solid mechanics |
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