A phase-field approach to viscoelastic fracture in rubbery polymers

Date

2019-08-23

Author

Denli, Funda A.
Gültekin, Osman
Dal, Hüsnü

Metadata

Show full item record

Item Usage Stats

224
views

0
downloads

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)

Collections

Unverified, Conference / Seminar

Suggestions

OpenMETU
Core

A composite dislocation cell model to describe strain path change effects in BCC metals Yalçınkaya, Tuncay; Geers, M.G.D. (IOP Publishing, 2009-11-16) Sheet metal forming processes are within the core of many modern manufacturing technologies, as applied in, e.g., automotive and packaging industries. Initially flat sheet material is forced to transform plastically into a three-dimensional shape through complex loading modes. Deviation from a proportional strain path is associated with hardening or softening of the material due to the induced plastic anisotropy resulting from the prior deformation. The main cause of these transient anisotropic effects at m...
Analysis of heat treatment effect on springback in v-bending Sarıkaya, Onur Turgay; Darendeliler, Haluk; Department of Mechanical Engineering (2008) Aluminum based alloys have wide area of usage in automotive and defense industry and bending processes are frequently applied during production. One of the most important design criteria of bending processes is springback, which can be basically defined as elastic recovery of the part during unloading. To overcome this problem, heat treatment is generally applied to the workpiece material to refine tensile properties. In this study, the effect of heat treatment on springback characteristics of aluminum stud...
A New production methodology for vacuum infusion process of advanced composite structures Poorzeinolabedin, Mohsen; Parnas, Kemal Levend; Department of Mechanical Engineering (2017) Vacuum Infusion Process (VIP) is one of the Liquid Composite Molding (LCM) methods which are widely used in out-of-autoclave processes especially for the manufacturing of large scale composite parts in aerospace, automotive, wind energy and marine industries. In order to simulate the infusion process, the permeability of preforms is an essential parameter. Absence of any standard is a challenge for the determination of in-plane permeabilities of a preform. The first objective of this study is to develop an ...
An accelerated aerodynamic optimization approach for a small turbojet engine centrifugal compressor Ceylanoğlu, Arda; Ulaş, Abdullah; Department of Mechanical Engineering (2009) Centrifugal compressors are widely used in propulsion technology. As an important part of turbo-engines, centrifugal compressors increase the pressure of the air and let the pressurized air flow into the combustion chamber. The developed pressure and the flow characteristics mainly affect the thrust generated by the engine. The design of centrifugal compressors is a challenging and time consuming process including several tests, computational fluid dynamics (CFD) analyses and optimization studies. In this s...
A mathematical model for the behavior of laminated glass beams Aşık, Mehmet Zülfü (Elsevier BV, 2005-08-01) Two-ply laminated architectural glass used in automotive industry since 1914, now become an important element in construction industry as well. Regarding its importance, a theoretical model is needed for the laminated glass beams investigated mostly experimentally so far. In this paper, a mathematical model for the behavior of laminated glass beams is introduced. The minimum total potential energy principle is employed in developing the mathematical model by assuming large deflection for a laminated composi...

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.