Topology optimization for reinforced concrete design

A fully stressed design approach to optimization such as evolutionary structural optimization (ESO) commonly employs von Mises stress as a reliable optimization driving criterion for a homogeneous isotropic environment. However, this is not a viable option for non-homogeneous material such as reinforced concrete (RC) in civil engineering problems. Upon the initial success in employing principal stress to drive optimization for tension or compression dominant structures, this paper investigates the use of principal stress in tension and compression structures simultaneously. The optimization procedure is derived from the fully stressed design approach for continuum topology. However, two principal stress, σ11 and σ22 are used to drive optimization and the problem becomes a multiple criteria one. A number of possible treatments for the optimization criteria are investigated and an optimization driving criterion suitable for RC material is introduced for the strut-and-tie type applications. This optimization criterion is implemented to develop a reliable optimization procedure. The procedure is applied to a couple of simple design problems for validation. Hyunsun Kim, Graham Baker

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