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A shear warping kinematic enhancement for fiber beam elements with a damaging cross-section

机译：具有损坏横截面的纤维梁元件的剪切翘曲运动增强

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摘要

The present paper is dedicated to the modeling of the non-linear behavior of reinforced concrete structures subject to transverse shear or torsion under monotonic and cyclic loading. The fiber beam element approach has been proved to be an interesting modeling strategy, but needs to be improved for shear effects. This can be achieved by enhancing the cross-section kinematics with a warping displacement field. This field must be free from the cross-section rigid body motions, for the problem to be well posed. This condition can be enforced by projecting the warping displacements orthogonally to the space of the plane cross-section displacements. The present contribution proposes a kinematic enhancement for a Timoshenko fiber beam element with a new formulation of the projection functions. The warping shape of the cross-section is computed along with the beam displacements and rotations by an implicit solution procedure. The proposed formulation takes into account the possible material heterogeneity of the cross-section. It enables the warping profile to evolve in time with the material damage state, as may occur in reinforced concrete structures. The element formulation is validated using an analytical solution in the case of transverse shear, and 3D simulations of beams subject to shear and torsion. To address nonlinear behavior, a comparison to experimental results is performed. The first case study shows that including warping in the model drastically improves the prediction of the experimental behavior of concrete beams in torsion. The second case study shows the ability of the model to deal with cyclic bending of a reinforced concrete column.
机译：本文专用于在单调和循环加载下对横向剪切或扭转进行横向剪切或扭转的非线性行为的建模。已经证明光纤光束元件方法是一种有趣的建模策略，但需要改善剪切效果。这可以通过用翘曲位移场增强横截面运动学来实现。这个领域必须没有横截面刚体动作，以便良好地提出。可以通过将翘曲位移突出到平面横截面位移的空间来强制执行这种情况。本贡献提出了针对Timoshenko纤维梁元件的运动增强，具有新的投影功能的新配方。通过隐式解决方案过程与光束位移和旋转一起计算横截面的翘曲形状。所提出的制剂考虑了横截面的可能材料异质性。它使得翘曲轮廓能够随着材料损坏状态在时间上发展，因为钢筋混凝土结构中可能发生。使用横向剪切的情况下的分析解决方案进行验证元件配方，以及经过剪切和扭转的梁的3D模拟。为了解决非线性行为，执行与实验结果的比较。第一种案例研究表明，在模型中包括翘曲大大提高了扭转混凝土梁实验行为的预测。第二种案例研究表明了模型处理钢筋混凝土柱的循环弯曲的能力。

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