混凝土分数阶应力松弛J体流变模型研究

摘要/Abstract

摘要： 为了更好地解决混凝土结构的长期稳定性问题以及研究混凝土结构的应力松弛特性,建立一种非定常分数阶应力松弛时效性模型。该模型采用分数阶理论将传统整数阶应力松弛模型进行分数阶化,通过构建损伤变量、时间与模型参数之间的关系,且考虑到分数阶模型的分数阶阶数受时间作用的影响,建立一种新型非定常分数阶的应力松弛时效性本构模型;最后,通过试验数据验证模型的正确性与合理性。结果表明,模型曲线与试验曲线高吻合度,说明采用非定常分数阶模型来反映岩石应力松弛全过程变形规律是合适可行的,其可以较好地描述应力松弛变化全过程,总体上该模型拟合度远远高于J体模型,后者在较大应变作用下,模型曲线与试验曲线具有较大偏离度。

关键词: 应力松弛, 非定常分数阶, 时效性本构模型, 损伤变量, 时间

Abstract: In order to better solve the long-term stability problem of concrete structure and study the stress relaxation characteristics of concrete structure, an unsteady fractional order stress relaxation time-dependent model was established. The model used fractional order theory to fractionalize the traditional integer-order stress relaxation model. By constructing the relationship between damage variables, time and model parameters, and considering the effect of time on the fractional order number of model, a new unsteady fractional order stress relaxation time-dependent constitutive model was established. Finally, the correctness and rationality of the model were verified by experimental data. The results show that the model curve is highly consistent with the experimental curve, which indicates that the unsteady fractional order model is suitable for reflecting the deformation process of rock stress relaxation. It can better describe the whole process of stress relaxation change. In general, the fitting degree of the model is much higher than that of the J-body model. In the latter case, the model curve has a large deviation from the test curve under the action of large strain.

Key words: stress relaxation, unsteady fractional order, time-dependent constitutive model, damage variable, time

中图分类号:

TU451

秦毅. 混凝土分数阶应力松弛J体流变模型研究[J]. 硅酸盐通报, 2021, 40(4): 1243-1249.

QIN Yi. J-Body Rheological Model of Concrete Fractional Order Stress Relaxation[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2021, 40(4): 1243-1249.

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