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土体的蠕变特性是影响工后沉降和工程安全的重要因素.基于半空间弹性土基受圆形均布荷载作用弹性理论解,根据弹性与黏弹性理论的对应原理,建立了分数导数型黏弹性土基在竖向圆形均布荷载作用下的地表位移与分数阶导数等参数的关系,并分析了不同分数阶下地表变形的时效特性.结果表明,与经典黏弹性本构模型相比,分数导数黏弹性模型能够在较宽的范围内描述黏弹性土基变形的特性,采用分数导数Kelvin黏弹性本构模型计算的地表沉降较经典的Kelvin黏弹性模型小,土基的蠕变特性与分数导数的阶数有关,具有更为广泛的适用性和应用前景.
The creep property of soil is an important factor that affects post-construction settlement and engineering safety.According to elastic solution theory of elastic and viscoelasticity, the half-space elastic foundation is subjected to circularly uniform loading theory, The relationship between the surface displacement and the fractional derivative and other parameters of the viscoelastic soil under vertical circular uniformly distributed loads is analyzed and the time-dependent characteristics of the surface deformation under different fractional orders are analyzed. The results show that, compared with the classical viscoelastic constitutive model The fractional derivative viscoelastic model can describe the deformation characteristics of viscoelastic soil over a wide range. The surface settlement calculated by fractional derivative Kelvin viscoelastic constitutive model is smaller than the classical Kelvin viscoelastic model. The creep of soil foundation The characteristic is related to the order of the fractional derivative, so it has a wider range of applicability and application prospect.