An analytical inverse analysis to determine equi-biaxial tensile properties of strain-hardening UHPFRC from ring-on-ring
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ORIGINAL ARTICLE
An analytical inverse analysis to determine equi-biaxial tensile properties of strain-hardening UHPFRC from ringon-ring test Xiujiang Shen . Eugen Bru¨hwiler . Emmanuel Denarie´ . Wanghu Peng
Received: 27 April 2020 / Accepted: 3 September 2020 Ó RILEM 2020
Abstract The equi-biaxial tensile properties of strain-hardening UHPFRC are determined and investigated based on an original analytical inverse analysis of results from ring-on-ring tests. First, the analytical inverse analysis method is developed based on the elastic slab bending and yield line theories. Using this method, a new objective criterion for the determination of the elastic limit stress of strain-hardening UHPFRC is provided, and a point-by-point inverse analysis is used to obtain the strain value at the end of hardening. This method reduces uncertainties regarding assumptions and avoids any iterative procedures. The inverse analysis results are put into perspective with experimental evidence, particularly based on DIC measurements. Moreover, the uniaxial tensile properties are also derived from the inverse analysis of 4PBT results and compared with the equi-biaxial tensile
X. Shen E. Bru¨hwiler E. Denarie´ W. Peng Laboratory of Maintenance and Safety of Structures (MCS-ENAC), EPFL – Swiss Federal Institute of Technology Lausanne, Station 18, 1015 Lausanne, Switzerland X. Shen Key Laboratory for Wind and Bridge Engineering of Hunan Province, Hunan University, Changsha 410082, China W. Peng (&) College of Civil Engineering, Changsha University, Changsha 410022, China e-mail: [email protected]
properties from the proposed inverse analysis. The inverse analysis results show a 18% lower elastic limit stress, and almost equivalent tensile strength of UHPFRC subjected to equi-biaxial stresses, compared with the corresponding values from uniaxial stress. Moreover, a relatively small equi-biaxial strain at the end of hardening is highlighted. Keywords Inverse analysis Strain-hardening UHPFRC Equi-biaxial tensile properties Ring-onring test
1 Introduction The precise and reliable knowledge of tensile properties and constitutive laws of materials is most important for structural design and safety verification. This is particular so for tensile strain-hardening Ultra-High Performance Fiber Reinforced Cementitious Composites (UHPFRC), which exhibit relatively high elastic limit stress (C 8 MPa), high tensile strength (C 10 MPa) and significant deformation capacity with strain up to 5% at the end of hardening when subjected to uniaxial tension. Taking benefit from these properties, UHPFRC are generally used for thin slab-like structural elements, which provide the required resistance against bending, shear and fatigue even without ordinary steel reinforcement bars [1–3]. Typical structural applications include cast-in place UHPFRC
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layers for strengthening of reinforced concrete slabs [4, 5], slabs of new bridges and buildings as well as shells [6, 7]. These
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