A phase-field approach to viscoelastic fracture in rubbery polymers

Date

2019-08-23

Author

Denli, Funda A.
Gültekin, Osman
Dal, Hüsnü

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Rubbery polymers are widely used in, e.g., the automotive, the aeronautical andspace industry. Rubbery polymers consist of network of long polymer chains responsible forthe elastic response and a secondary free chains superimposed to the elastic network in termsof entanglements leading to the rate-dependent viscoelastic response. The fracture toughnessof rubbery polymers is a rate-dependent phenomenon which manifests itself in the sense ofmonotonically increasing fracture toughness with rising crack velocity under tearing tests [1].In order to communicate the above-mentioned phenomena, the ground state elasticity, in thecurrent study, is accounted by the eight-chain model of Arruda & Boyce [2], whereas thesuperimposed viscous effects are incorporated into the model in terms of a number ofMaxwell elements [3]. For the evolution of the viscous deformations, a new relaxationkinetics is introduced without the multiplicative split of the deformation gradient, therebycapturing the shear and volumetric creep deformations. As a novel aspect, local phase fieldapproach similar to damage mechanics formulation governs the failure of the superimposedchains, while the degradation of the elastic network is governed by a rate-dependent phasefieldapproach [4,5]. The model parameters are fitted to extant experimental data from theliterature. We, afterwards, demonstrate qualitative results of the proposed model by means ofrepresentative numerical examples.References:1. H. Dal and M. Kaliske (2009). A micro-continuum-mechanical material model for failure ofrubber-like materials: Application to aging induced fracturing, J. Mech. Phys. Solids, Vol. 57,pp. 1340–1356,2. E. M. Arruda. and M.C. Boyce (1993). A three-dimensional model for the large stretchbehavior of rubber elastic materials. J. Mech. Phys. Solids, 41(2), pp. 389–412.3. H. Dal and M. Kaliske (2009). Bergström-Boyce model for nonlinear finite rubberviscoelasticity: Theoretical aspects and algorithmic treatment for FE method. Comp. Mech.,44, 809–823.4. L. Schänzel, H. Dal and C. Miehe (2013) On the micromechanically-based approaches tofailure in polymers, Proc. Appl. Math. Mech., Vol. 13, pp. 557–560.5. L. Schänzel , H. Dal, and C. Miehe (2013). Phase-field modeling of fracture in rubberypolymers, Const. Models for Rubber VIII, Taylor & Francis Group, London, pp. 335–341

URI

http://iwpdf.ae.metu.edu.tr/book_of_abstracts.pdf#page=47
https://hdl.handle.net/11511/82733

Conference Name

1st International Workshop on Plasticity, Damage and Fracture of Engineering Materials (22 - 23 Ağustos 2019)

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Citation Formats

F. A. Denli, O. Gültekin, and H. Dal, “A phase-field approach to viscoelastic fracture in rubbery polymers,” presented at the 1st International Workshop on Plasticity, Damage and Fracture of Engineering Materials (22 - 23 Ağustos 2019), Ankara, Türkiye, 2019, Accessed: 00, 2021. [Online]. Available: http://iwpdf.ae.metu.edu.tr/book_of_abstracts.pdf#page=47.