Application of the generalized nonlinear constitutive law in numerical analysis of hollow-core slabs
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Poznan University of Life Sciences, Department of Biosystems Engineering, Wojska Polskiego 50, 60-627 Poznań
Poznan University of Technology, Institute of Building Engineering, Piotrowo 5, 60-965 Poznan, Poland
Submission date: 2021-07-28
Final revision date: 2021-09-28
Acceptance date: 2021-10-05
Publication date: 2022-06-30
Archives of Civil Engineering 2022;68(2):125-145
The non-linear analysis of hollow-core concrete slabs requires the use of advanced numerical techniques, proper constitutive models both for concrete and steel as well as particular computational skills. If prestressing, cracking, crack opening, material softening, etc. are also to be taken into account, then the computational task can far exceed the capabilities of an ordinary engineer. In order for the calculations to be carried out in a traditional design office, simplified calculation methods are needed. They should be based on the linear finite element (FE) method with a simple approach that takes into account material nonlinearities. In this paper the simplified analysis of hollow-core slabs based on the generalized nonlinear constitutive law is presented. In the proposed method a simple decomposition of the traditional iterative linear finite element analysis and the non-linear algebraic analysis of the plate cross-section is used. Through independent analysis of the plate cross-section in different deformation states, a degraded plate stiffness can be obtained, which allows for iterative update of displacements and rotations in the nodes of the FE model. Which in turn allows to update the deformation state and then correct translations and rotations in the nodes again. The results obtained from the full detailed 3D nonlinear FEM model and from the proposed approach are compared for different slab cross-sections. The obtained results from both models are consistent.
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