10.1515/9783110571905-011">
 

Title

Application of variable-order fractional calculus in solid mechanics

Document Type

Book Chapter

Publication Date

2019

Department/School

Engineering Technology

Publication Title

Applications in Engineering, Life and Social Sciences, Part A

Abstract

This chapter discusses the adoption of fractional derivative operators in modeling viscoelastic materials and their creep behavior. The damper elements in three conventional rheological models are replaced by fractional-order dashpots that include fixed- and variable-order fractional derivative operators. It is shown that the creep response of the presented fractional rheological models can be realistic if and only if they have monotonically decreasing variable-order functions. Finally, the presented rheological models are used to model the creep behavior of an epoxy by using experimental isothermal creep tests.

ISBN

9783110571905

Link to Published Version

10.1515/9783110571905-011

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