Kinematics of layered reinforced-concrete planar beam finite elements with embedded transversal cracking |
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Authors: | Paulo Š?ulac Gordan Jeleni?Leo Škec |
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Institution: | University of Rijeka, Faculty of Civil Engineering, Radmile Matej?i? 3, 51 000 Rijeka, Croatia |
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Abstract: | In this work crack formation and development is addressed and implemented in a planar layered reinforced-concrete beam element. The crack initiation and growth is described using the strength criterion in conjunction with exact kinematics of the interlayer connection. In this way a novel embedded-discontinuity beam finite element is derived in which the tensile stresses in concrete at the crack position reaching the tensile strength will trigger a crack to open. Since the element is multi-layered, in this way the crack is allowed to propagate through the depth of the beam. The cracked layer(s) will involve discontinuity in the cross-sectional rotation equal to the crack-profile angle, as well as a discontinuity in the position vector of the layer’s reference line. A bond–slip relationship is superimposed onto this model in a kinematically consistent manner with reinforcement being treated as an additional layer of zero thickness with its own material parameters and a constitutive law implemented in the multi-layered beam element. |
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Keywords: | Fictitious crack model Layered beam element Embedded discontinuity Linked interpolation Slip Monotonic loading Transversal crack |
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