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An anlytical approach to derive constitutive laws from bending tests without using FE-simulation



Author(s) : P. Hadl, N.V. Tue
Paper category : Proceedings
Book title : UHPFRC 2017 Designing and Building with UHPFRC: New large-scale implementations, recent technical advances, experience and standards
Editor(s) : F. Toutlemonde & J. ResplendinoT.Ch.
Print-ISBN : 978-2-35158-166-7
e-ISBN : 978-2-35158-167-4
Publisher : RILEM Publications SARL
Publication year : 2017
Pages: 201 - 210
Total Pages : 10
Language : English


Abstract: This paper presents an analytical approach to derive constitutive laws from force or flexural tensile stress - mid-span deflection relationships obtained in 4-point-bending tests. The load bearing behaviour in bending is divided into hardening and softening phase. It is assumed that the section remains plane until the peak-load is reached in the bending test. Initially, the curvature at peak load is determined with the mid-span deflection and force at load maximum from the experiment. Therefore the principle of virtual work by double integration of the curvatures along the length of the prism is used. Consequently, the stress-strain relationship until peak-load is determined directly by using two assumptions for stress development in this area. In the softening phase the cross-section does not remain plane. By assuming a characteristic length, the stress-strain response for the softening branch is defined. Finally, the derived constitutive laws are compared with finite element simulation and other numerical and analytical approaches. All calculations verify the accuracy of the model.


Online publication : 2017
Publication type : full_text
Public price (Euros) : 0.00