## THERMAL SCIENCE

International Scientific Journal

### A NEW FRACTAL VISCOELASTIC ELEMENT: PROMISE AND APPLICATIONS TO MAXWELL-RHEOLOGICAL MODEL

**ABSTRACT**

This paper proposes a fractal viscoelastic element via He’s fractal derivative, its properties are analyzed in details by the two-scale transform for the first time. The element is used to establish a fractal Maxwell-rheological model, which unifies the fractal creep equation and relaxation equation, and includes the classic elastic model and the classical Maxwell-rheological model as two special cases. This paper sheds a bright light on viscoelasticity, and the model can find wide applications in rock mechanics, plastic mechanics, and non-continuum mechanics.

**KEYWORDS**

PAPER SUBMITTED: 2020-03-01

PAPER REVISED: 2020-06-12

PAPER ACCEPTED: 2020-06-12

PUBLISHED ONLINE: 2021-01-31

**THERMAL SCIENCE** YEAR

**2021**, VOLUME

**25**, ISSUE

**Issue 2**, PAGES [1221 - 1227]

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