Payne effect: A Constitutive model based on a dynamic strain amplitude dependent spectrum of relaxation time

• Published in: Mechanics of materials Vol. 148; p. 103526
• Main Author: Jalocha, D.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2020
• Subjects: Constitutive law; Dynamic strain amplitude dependent model; Payne effect; Payne effect; Constitutive law; Dynamic strain amplitude dependent model
• ISSN: 0167-6636; 1872-7743
• DOI: 10.1016/j.mechmat.2020.103526

•Experimental investigation of the Payne Effect.•Complete dynamic modulus master curve for different strain amplitudes.•Development of a constitutive model for the Payne Effect, based on nonlinear spectrum of relaxation time.•Numerical implementation of the developed model and validation. Under dynamic loads, the viscoelastic behavior of filled elastomers exhibits a nonlinearity known as the Payne Effect. The material stiffness decreases as the dynamic strain amplitude increases. The aim of this work is to model this feature, by adapting a previously developed constitutive model. First, a complete experimental dynamic campaign is performed to characterize the dynamic properties of a filled elastomer used on silent block. The continuous spectrum of relaxation time is identified as a function of the strain amplitude. This identification follows the standard method of the literature. The spectrum is discretized into a dynamic strain amplitude dependent Prony Series. Finally, a constitutive model using the Prony Series is developed and numerically implemented. Comparisons between experimental results and model predictions are presented.