We present a new rheological model depending on a real parameter \(\nu \in [0,1]\), which reduces to the Maxwell body for \(\nu =0\) and to the Becker body for \(\nu =1\). The corresponding creep law is expressed in an integral form in which the exponential function of the Becker model is replaced and generalized by a Mittag–Leffler function of order \(\nu \). Then the corresponding non-dimensional creep function and its rate are studied as functions of time for different values of \(\nu \) in order to visualize the transition from the classical Maxwell body to the Becker body. Based on the hereditary theory of linear viscoelasticity, we also approximate the relaxation function by solving numerically a Volterra integral equation of the second kind. In turn, the relaxation function is shown versus time for different values of \(\nu \) to visualize again the transition from the classical Maxwell body to the Becker body. Furthermore, we provide a full characterization of the new model by computing, in addition to the creep and relaxation functions, the so-called specific dissipation \(Q^{-1}\) as a function of frequency, which is of particular relevance for geophysical applications.

我们目前依赖于真实参数的新流变模型\（\ NU \在[0,1] \） ，这减少了对麦克斯韦体\（\ NU = 0 \）和贝克尔体\（\ NU = 1 \）。相应的蠕变定律以整数形式表示，其中贝克尔模型的指数函数由阶\（\ nu \）的Mittag-Leffler函数代替并推广。然后，针对不同的\（\ nu \）值，研究相应的无量纲蠕变函数及其速率作为时间的函数。为了形象化从经典麦克斯韦身体到贝克尔身体的过渡。基于线性粘弹性的遗传理论，我们还通过数值求解第二类Volterra积分方程来近似松弛函数。反过来，对于不同的\（\ nu \）值，随时间显示松弛函数，以再次可视化从经典Maxwell体到Becker体的过渡。此外，我们通过计算除了蠕变和弛豫函数外，还提供了新模型的完整表征，即所谓的比耗散\（Q ^ {-1} \）作为频率的函数，这与频率相关用于地球物理应用。