Fractional modeling of cyclic loading behavior of polymeric materials

This paper introduces a fractional-order model integrated with a damage variable to effectively characterize the stress or strain responses under strain- or stress-controlled cyclic loading. We derive a relationship among mean stress, ratcheting strain, and cyclic number from the established fractio...

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Bibliographic Details
Published inMechanics of time-dependent materials Vol. 28; no. 3; pp. 1743 - 1759
Main Authors Cai, Wei, Zhang, Yongqi, Wang, Ping, Wang, Zhouquan
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 2024
Springer Nature B.V
Subjects
Characterization and Evaluation of Materials
Classical Mechanics
Constitutive relationships
Cyclic loads
Engineering
Loading rate
Polymer Sciences
Ratcheting
Solid Mechanics
Strain
Mean stress
Fractional constitutive model
Ratcheting strain
Polymeric fatigue
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Summary:This paper introduces a fractional-order model integrated with a damage variable to effectively characterize the stress or strain responses under strain- or stress-controlled cyclic loading. We derive a relationship among mean stress, ratcheting strain, and cyclic number from the established fractional constitutive relationship. Experimental validation with polymeric data demonstrates the validity of our model, indicating how fractional order captures the effects of various loading conditions—including mean stress, temperature, and loading rate—on ratcheting strain responses. Additionally, our model offers a simpler mathematical framework than the existing models, without compromising accuracy.
ISSN:1385-2000
1573-2738
DOI:10.1007/s11043-024-09705-4