Validation of a thermodynamically consistent compressible rate-type viscoelastic model with independent limits on dilation, contraction, and distortion. (November 2019)

• Record Type: Journal Article
• Authors: Devendiran, V.K.; Mohankumar, K.V.; Kannan, K.; Varkey, Bijo T
• Is Part Of: International journal of non-linear mechanics. Volume 116(2019)
• Page Start: 85
• Page End: 101
• Publication Date: 2019-11
• Subjects: Filled elastomers -- Viscoelasticity -- Non-uniform planar extension -- Barreling compression -- Mullins effect -- Three-dimensional simulation -- Two-dimensional simulation; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2019.06.002
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: In the previous part of this work (see Devendiran et al. (2018)), a new non-linear rate-type compressible viscoelastic model with independent volumetric and distortional limiters was proposed. In the present work, the developed constitutive equation is validated using experimental data generated in-house for two cyclic inhomogeneous deformations which are predominantly two-dimensional: non-uniform planar extension and barreling compression of carbon-black filled elastomeric sheets and circular cylinders, respectively, under different rates of cyclic deformations. In the finite element simulations of these two boundary value problems, the two-dimensional governing equations are formulated in Lagrangian basis and the resulting system of partial differential equations are solved using COMSOL®. A good agreement is observed between the numerical results and the corresponding experimental data, including the cyclic stress softening effect (Mullins effect). Highlights: Cyclic multiaxial tests validate the viscoelastic model with rate dependent limits. Optimal model parameters are obtained for Carbon Black (CB) filled rubber. Rate dependent cyclic stress softening of CB filled rubber is predicted accurately. Validated model is expected to be useful in automobile tire applications.