Fractional Viscoelastic Models
Fractional Viscoelastic Models
复制标题
分数阶粘弹性模型
DOI：
--
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
F. Mainardi
中科院分区：
文献类型：
--
作者：
F. Mainardi
Λ-分数阶导数（Λ-FD）是近年来力学领域中出现的一种新的分数阶导数。该导数沿着Λ-变换（Λ-T）为分数阶微分方程的当前求解提供了可靠的替代方案。坦率地说，Λ-分数导数可能是唯一存在的真正的非局部导数。本文采用Λ-分数阶导数描述粘弹性现象，并对整个方法进行了详细的论证。研究了分数阶粘弹性Zener模型的松弛和蠕变特性。有趣的结果提取和其他方法相比，显示上述方法的价值。
: Λ-Fractional Derivative (Λ-FD) is a new groundbreaking Fractional Derivative (FD) introduced recently in mechanics. This derivative, along with Λ-Transform (Λ-T), provides a reliable alternative to fractional differential equations’ current solving. To put it straightforwardly, Λ-Frac-tional Derivative might be the only authentic non-local derivative that exists. In the present article, Λ-Fractional Derivative is used to describe the phenomenon of viscoelasticity, while the whole methodology is demonstrated meticulously. The fractional viscoelastic Zener model is studied, for relaxation as well as for creep. Interesting results are extracted and compared to other methodologies showing the value of the pre-mentioned method.