水泥乳化沥青砂浆蠕变试验数据处理及其数值仿真

摘要

The viscoelastic constitutive relation of cement asphalt mortar (CA mortar)is obtained and then ap-pied easily into numerical simulations.Creep deformation is fitted through analyzing creep data acquired in uni-axial static compressive creep test of CA mortar.Thus viscoelastic parameters of Burgers model are obtained. Based on the requirement of ANSYS finite element software,an algorithm is deduced to transform the constitutive equations of Burgers model parameters into Prony series,and the numerical calculation is carried out by ANSYS software.The calculation results show that the relative error of Burgers model is less than 1.7%,which can re-flect the creep performance of CA mortar well.The solution error of Prony series is no more than 2.5% compared with the test result.The transformation formula to Prony series is simple and efficient.%为获得水泥乳化沥青砂浆（CA 砂浆）黏弹性本构关系，并利用这种本构关系进行各种数值计算，结合 CA 砂浆单轴静载压缩蠕变试验数据，对蠕变变形进行拟合，得到了由 Burgers 模型表示的黏弹性参数。针对 ANSYS 有限元软件的计算要求，推导了将 Burgers 模型参数转化为 Prony 级数的计算公式，并采用 ANSYS 软件进行数值计算。计算结果表明：Burgers模型的拟合相对误差小于1．7％，能较好地反映 CA 砂浆的蠕变特性；利用 Prony 级数方法得到的计算结果与试验结果的误差在2．5％以下；Prony 级数的转化公式方法简单，计算准确。