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Weight function calculation method for analyzing mixed-mode shear cracks in reinforced concrete beams
Structures ( IF 4.1 ) Pub Date : 2021-05-20 , DOI: 10.1016/j.istruc.2021.05.020
Pengru Deng , Takashi Matsumoto

Based on a virtual crack extension (VCE) technique in finite element method (FEM), this paper proposes a rational method of calculating weight functions for inclined shear cracked RC beams with any geometry. As an inclined shear crack in an RC beam is geometrically determined by the absolute dimensions, shear span to beam depth ratio, crack inclined angle and crack initiation location, the relations between the weight functions and these parameters are investigated by either following theoretical equations or varying the parameters in a certain range. The range is determined to enclose the geometries of inclined critical shear cracks of a large set of RC beams which were tested under a bending load but failed due to the propagation of a critical inclined shear crack. Moreover, a method of calculating the weight functions of a shear cracked RC beam with any geometrical properties is developed numerically using the weight functions calculated and provided in this study. As a result, it is possible that the shear behaviors of RC beams can be even studied conveniently but also comprehensively following the theoretical fracture mechanic approach.



中文翻译:

钢筋混凝土梁混合模式剪切裂缝分析的权函数计算方法

基于有限元方法(FEM)中的虚拟裂纹扩展(VCE)技术,提出了一种计算任意几何形状的斜剪开裂RC梁重量函数的合理方法。由于RC梁中的倾斜剪切裂纹是由绝对尺寸,剪切跨度与梁深度之比,裂纹倾斜角和裂纹起始位置在几何上确定的,因此权重函数与这些参数之间的关系可以通过遵循理论方程或通过变化来研究。参数在一定范围内。确定该范围以围封大批RC梁的倾斜临界剪切裂缝的几何形状,这些几何梁在弯曲载荷下进行了测试,但由于临界倾斜剪切裂缝的传播而失败。而且,本研究利用计算得出的权重函数数值地开发了一种计算具有任何几何特性的剪切开裂RC梁的权重函数的方法。结果,有可能甚至可以方便地研究钢筋混凝土梁的剪切特性,但也可以遵循理论断裂力学方法进行全面研究。

更新日期:2021-05-20
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