摘要
为了得到普适性黏弹性本构方程的解答,选择广义Kelvin模型作为沥青混合料的本构模型,并分析了该模型的力学响应.首先,推导了沥青混合料一维广义Kelvin模型在重复单轴半正矢荷载作用下的应力-应变关系,并提出了获取该工况下材料参数的新方法;然后,将一维广义Kelvin模型推广到三维空间中,并给出了对应的有限差分算法;最后,验证了三维广义Kelvin模型和有限差分算法的正确性,分析了广义Kelvin模型在沥青路面中的适用性.结果表明,采用所提的参数获取方法以及本构模型的演算和推广能够实现广义Kelvin模型在沥青路面中的应用.广义Kelvin模型可以准确有效地应用于沥青路面黏弹性响应计算中.
To obtain the solution of the generalized viscoelastic constitutive equation,the generalized Kelvin model is selected as the constitutive model of asphalt mixture and the mechanical responses of this model is analyzed. First,the relationship between the strain and the stress of the one-dimensional generalized Kelvin model of asphalt mixture under the cyclic uniaxial haversine load is deduced and a newmethod to obtain the material parameters under this condition is proposed. Then,the onedimensional generalized Kelvin model is generalized to the three-dimensional spatial domain and the corresponding finite-difference algorithm is presented. Finally,the validity of the proposed three-dimensional generalized Kelvin model and the finite-difference algorithm is verified,and the feasibility of the generalized Kelvin model in asphalt pavement is analyzed. The results showthat by using the proposed parameter acquisition method and the calculation and generalization of the constitutive model,the generalized Kelvin model can be applied in asphalt pavement. The generalized Kelvin model can be used correctively and effectively in the calculation of the viscoelastic response of the asphalt pavement.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2016年第2期413-418,共6页
Journal of Southeast University：Natural Science Edition
基金
国家自然科学基金青年科学基金资助项目(51408173)
中国博士后科学基金资助项目(2015M571928)
中央高校基本科研业务费资助项目(2014HGQC0137
2014HGBZ0132)
关键词
沥青路面
广义Kelvin模型
本构关系
半正矢荷载
有限元
asphalt pavement
generalized Kelvin model
constitutive relationship
haversine load
finite element
