Efficient elasto-plastic modelling of reinforced concrete walls applying convex optimisation
Year: 2020
Type: conference-paper
Abstract: The concept of finite element limit analysis (FELA) has demonstrated how the theory of rigid plasticity and convex optimisation algorithms can be used efficiently to determine the load-bearing capacity of e.g.reinforced concrete structures.While the method provides information on the collapse load and mechanism, it does not consider the deformation of the structure before failure, which is a matter of importance in e.g.serviceability-limit-state verifications.This paper proposes a numerical framework based on convex optimisation for efficient elasto-plastic analysis of reinforced concrete structures in plane-stress conditions.The method uses the principle of minimum complementary energy and a hyperelastic material model to imitate the elasto-plastic behaviour of fully cracked reinforced concrete walls.With the use of stress-based finite elements, the problem is formulated as a convex optimisation problem that, in a non-incremental manner, finds the stresses and deformations associated with a pre-defined constant load imposed on the structure.As an illustrative example, the concept is applied to a deep beam with uniform, isotropic reinforcement, and the resulting load-displacement curve is compared to the analytical limit load based on rigid-plastic material behaviour.Finally, the advantages and validity domain of the method is touched upon along with its applicability in practical design scenarios.
Language: English
Subfield: Building and Construction
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funders: Innovationsfonden, Rambøll Fonden
Award: G8627946555
OpenAlex ID: W3134096450