Non-linear analysis of pre-tensioned concrete planar beams

作者: M. Markovič , N. Krauberger , M. Saje , I. Planinc , S. Bratina

DOI: 10.1016/J.ENGSTRUCT.2012.08.004

关键词: Timoshenko beam theoryBending momentMaterials scienceFracture mechanicsStatic analysisBeam (structure)Nonlinear systemSlip (materials science)Finite element methodStructural engineering

摘要: Abstract We have derived a one-dimensional mathematical model and numerical procedure for the non-linear static analysis of pre-tensioned concrete planar beams, which intends to describe quantitatively global behaviour as well some local phenomena in beam, such tangential slip traction between tendon concrete, with accuracy sufficient engineering design. The advantage is its extreme computational efficiency compared two- three-dimensional formulations. A shear-stiff, kinematically exact beam theory used each component beam. bending moment neglected. Cracking accounted using smeared crack concept. Softening material, related localisation deformations, solution resolved by combined use arc-length method constant strain band element, whose dimension fracture energy tension. fully for, yet normal separation not allowed. enables us analyse variation on tendons softening both tension compression along axis time. validity present verified two pre-stressed simply supported beams previously experimentally computationally studied literature (Rabczuk Eibl, 2004 [2] ; Rabczuk et al., 2005 [18] Belytschko, 2006 [20] ). It found out that results are keeping experimental from literature. Recalling formulation 2D 3D formulations it concluded proposed could be very convenient

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