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Nonlinear finite element analysis of 3-span continuous concrete deep beams

机译：三跨连续混凝土深梁的非线性有限元分析

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In this paper, an improved cracking model suggested for calculation by finite element method can give results in good agreement with those observed in test. But the calculated number of cracks may be less slightly, based on the bond-slip model adopted. When "perfect bond" was assumed, i.e., too strong bond was used in analysis, though the calculation gave deflections of deep beam in good accordance with test, the calculated number of cracks were more than that from the tests. As the assumed bond is weaker, the results will be contrary. Because the crack forming earlier causes a field of loosing in tensioned and stretched concrete, the distance to form the second crack will be increased, i.e., the number of cracks will reduce slightly. Besides, the constitutive model of #sigma#_c-#epsilon#_c influnces also on the load - deflection relations, especially on its descending branch. In this paper, the descending branch of #sigma#_c-#epsilon#_c was taken as horizontal as per China Code, for simplifying the calculation. In theory it would result in that the load - deflection curve slowly descending branch to some degree after the peak of loading . But actually this deviation was not obvious, because upto failure, the plasticity of concrete has not been developed well in deep beam, even in beams LSSL-C_1 and LSSL-C_2 which failed due to flexure.
机译：本文提出了一种改进的裂纹模型，用于有限元计算，其结果与试验中观察到的结果吻合良好。但是，根据所采用的粘结滑移模型，计算得出的裂纹数量可能会少一些。当假定“完美结合”时，即，在分析中使用了太强的结合，尽管计算得出的深梁挠度与试验吻合得很好，但计算的裂纹数量却比试验的要多。由于假定的键较弱，结果将相反。由于较早的裂纹形成会在张紧和拉伸的混凝土中引起松动，因此形成第二个裂纹的距离将增加，即，裂纹的数量将略有减少。此外，＃sigma＃_c-＃epsilon＃_c的本构模型还影响荷载-挠度关系，尤其是其下降分支。为了简化计算，本文将＃sigma＃_c-＃epsilon＃_c的下降分支视为与中国法典相同的水平分支。从理论上讲，载荷-挠度曲线在载荷峰值之后会缓慢下降到一定程度。但是实际上，这种偏差并不明显，因为直至失效，即使在由于挠曲而失效的梁LSSL-C_1和LSSL-C_2中，在深梁中混凝土的可塑性也没有得到很好的发展。

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