唐皓, 李强, 王东坡, et al. A Rheological Model Based on Fractional Calculus and Improved Elastoplastic Element[J]. 2016, 36(6): 978-983. DOI: 10.13409/j.cnki.jdpme.2016.06.019.
A Rheological Model Based on Fractional Calculus and Improved Elastoplastic Element
摘要
为了减少流变模型元件个数并提高模型描述岩石非线性流变特征的能力
从改进一种弹塑性体元件入手
在考虑岩石残余强度的基础上
引入损伤变量修正系数
得到改进后的弹塑性体元件。同时引入由分数阶微积分表征本构关系的软体元件
将其与弹簧元件并联构成分数阶开尔文模型。由改进的弹塑性体元件串联分数阶开尔文模型
即可得到一种新的三元件流变模型。以大理岩单轴蠕变试验数据为例对模型进行验证
结果表明三元件流变模型具有较好的模拟精度及良好的应用前景。
Abstract
In order to reduce the number of elements in a rheological model and improve the model ability
which can describe the nonlinear rheological characteristic of rock
start with improving an elastoplastic element
the improved elastoplastic element was got by introducing damage variable correction coefficient considering the residual strength of rock.In the meantime
the soft-matter element
whose constitutive relation can be characterized by fractional calculus was introduced
and it was connected with spring element in parallel to form a fractional Kelvin model.A new three elements rheological model was structured by improved elastoplastic element and fractional Kelvin model mutually connected in series.The model was verified with marble uniaxial creep data as an example.The results show that the three rheological model has better simulation accuracy and good application prospect.