考虑纤维间距效应和界面相互作用的功能梯度高掺量纤维混凝土本构模型

CONSTITUTIVE MODEL OF HIGH CONTENT FIBER FUNCTIONALLY GRADED CONCRETE CONSIDERING FIBER SPACING EFFECT AND INTERFACE INTERACTION

  • 摘要: 该文旨在建立一种新的本构模型,用于描述在大掺量纤维功能级配混凝土(FGC)中的行为。模型基于HOOK定律和线弹性应力-应变关系,引入了纤维间距系数,提出了一种纤维间距系数的修正方法,以增强纤维对混凝土基体的增韧效果,新的修正系数包括纤维取向系数、纤维倾斜影响系数和纤维间距系数,能够更准确地预测FGC在常规拉伸或弯曲试验条件下的力学行为,克服了现有本构模型在高掺量纤维研究方面的不足。将提出的本构模型引入ABAQUS中,建立了FGC有限元常规单轴拉伸模型、狗骨模型和四点弯曲模型。模型还考虑了FGC上下界面之间以及纤维与基体之间的相互作用。结果表明:对于FGC试验,临界纤维体积分数ρs的范围在6%~7%。当ρs在0%~6%时,随着纤维体积分数的增加,峰值应力、抗拉强度和韧性都有显著增长,此时不需要考虑纤维间距系数;当ρs大于6%~7%时,增长效果明显减缓,甚至峰值应力和抗拉强度还会减小,则必须考虑纤维间距系数。通过与实验结果对比,证明所提出的本构模型在研究FGC的力学性能方面是可行的。该模型不仅为FGC力学性能的研究提供了新的理论,还可以推广到其它复杂纤维或多层结构,具有重要的学术价值和工程应用前景。但临界的ρs具体值需根据实际模型进行计算,对于低掺量钢纤维的还需要试验和计算去验证。

     

    Abstract: The objective is to establish a constitutive model to describe the behavior of high-fiber-content functional gradation concrete (FGC). The model is based on Hooke’s law and linear elastic stress-strain relationship, introducing a fiber spacing coefficient along with a modification method for this coefficient to enhance the toughening effect of the fibers. The new correction factors include fiber orientation, fiber inclination, and fiber spacing coefficients, which improve the accuracy of predicting the mechanical behavior of FGC under conventional tensile or bending test conditions. This model addresses the shortcomings of existing constitutive models in the study of high-fiber-content materials. The model proposed is incorporated into ABAQUS to establish finite element models for FGC, including uniaxial tensile, dog-bone, and four-point bending models. The interaction between the FGC's upper and lower interfaces as well as between the fibers and the matrix is also considered. Results indicate that for FGC testing, the critical fiber volume fraction, ρs, ranges between 6% and 7%. When ρs is between 0% and 6%, the peak stress, tensile strength, and toughness significantly increase as the fiber volume fraction rises, without requiring consideration of the fiber spacing coefficient. When ρs exceeds 6%-7%, the rate of increase slows down, and peak stress and tensile strength may even decrease, necessitating the inclusion of the fiber spacing coefficient. A comparison with experimental results demonstrates that the model proposed is feasible for studying the mechanical properties of FGC. This model not only provides new theoretical insights for FGC but also has potential for application to other complex fibers or multilayered structures, offering significant academic value and engineering prospects. The critical value of ρs must be calculated for specific models, and additional testing and calculations are required to verify results for low-fiber-content steel fibers.

     

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