Network evolution model of anisotropic stress softening in filled rubber-like materials: Parameter identification and finite element implementation

Dargazany, Roozbeh; Khiêm, Vu Ngoc; Navrath, U.; Itskov, Mikhail

doi:10.2140/jomms.2012.7.861

Cited by 18 publications

(20 citation statements)

References 37 publications

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“…The network evolution concept postulates aggregate-polymer debonding and network rearrangement as two simultaneous processes [39]. In the course of deformation, short polymer chains slide on or debond from the aggregates.…”

Section: Network Decompositionmentioning

confidence: 99%

“…F ζ denotes the force applied to the aggregate per unit referential volume. The elastic modulus K ζ can be formulated as a function of the aggregate kinematics (for details see [37,39]). …”

Section: A Elasticity Of the Aggregatementioning

confidence: 99%

“…The contributions of the CC and PP networks ∂ CC ∂F and ∂ PP ∂F have already been derived in the context of the network evolution model [36,39]. Here, we mainly focus on the stress contribution of the CP network…”

Section: B Final Formulationmentioning

confidence: 99%

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Constitutive modeling of the Mullins effect and cyclic stress softening in filled elastomers

Dargazany

Itskov

2013

Phys. Rev. E

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The large strain behavior of filled rubbers is characterized by the strong Mullins effect, permanent set, and induced anisotropy. Strain controlled cyclic tests also exhibit a pronounced hysteresis as a strain rate independent phenomenon. Prediction of these inelastic features in elastomers is an important challenge with immense industrial and technological relevance. In the present paper, a micromechanical model is proposed to describe the inelastic features in the behavior of filled elastomers. To this end, the previously developed network decomposition concept [Dargazany and Itskov, Int. J. Solids Struct. 46, 2967 (2009)] is extended and an additional network (CP network) is added to the classical elastic rubber (CC) and polymer-filler (PP) networks. The new network is considered to account for the damage of filler aggregates in the cyclic deformation as the source of hysteresis energy loss. The accuracy of the resulting model is evaluated in comparison to a new set of experimental data.

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Section: Network Decompositionmentioning

confidence: 99%

Section: A Elasticity Of the Aggregatementioning

confidence: 99%

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Constitutive modeling of the Mullins effect and cyclic stress softening in filled elastomers

Dargazany

Itskov

2013

Phys. Rev. E

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“…Because we consider mechanical properties on the base of a real experiment in which the object (material sample) and measured properties are usually in macro-scale, so using the phenomenological method as the way of modelling of the process, which is directly connected with the experiment, is recommended. From this point of view, very interesting are methods based on energy, which were used by Petryk (1985Petryk ( , 1991, Schroder and Neff (2003), Wegner (2000Wegner ( , 2005Wegner ( , 2009 and Dargazany et al (2012). Here, the necessary tool of description of mechanical properties of materials is the strain energy density function.…”

Section: Introductionmentioning

confidence: 99%

An energy-based method in phenomenological description of mechanical properties of nonlinear materials under plane stress

Wegner¹,

Kurpisz²

2017

jtam

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A method based on energy is a very useful tool for description of mechanical properties of materials. In the current paper, on the base of geometrical interpretation of a deformation process, the strain energy density function for isotropic nonlinear materials has been constructed. On account of hydrostatic interpretation of the volumetric deformation, the elastic part of energy has been extracted. The initiation of the damage process due to plastic flow of the material under plane stress has been determined and the stability conditions have been formulated by using in the stability analysis the strain energy density function in addition to Sylvester's theorem and assumption of zero volume change during pure plastic deformations. This concept is an original part of the work and continuation of the investigations previously carried out by Wegner and Kurpisz. The theoretical investigations have been illustrated on the example of aluminium.

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“…There are different theories on contribution of clusters to the deformation-induced damage of the matrix, and rubber in particular. Some associate damage to the yielding and reformation of the clusters [26][27][28][29], some to gradual softening of the particle-particle bonds [30][31][32], and some to the changes in cluster sizes and structural rearrangement [33][34][35]. So far, no consensus on the micromechanics of PC clusters has emerged and, despite its ubiquity and significance, it remains far from understood; even the classification of interparticle forces is not agreed on.…”

Section: Introductionmentioning

confidence: 99%

Micromechanical model for isolated polymer-colloid clusters under tension

et al. 2016

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Binary polymer-colloid (PC) composites form the majority of biological load-bearing materials. Due to the abundance of the polymer and particles, and their simple aggregation process, PC clusters are used broadly by nature to create biomaterials with a variety of functions. However, our understanding of the mechanical features of the clusters and their load transfer mechanism is limited. Our main focus in this paper is the elastic behavior of close-packed PC clusters formed in the presence of polymer linkers. Therefore, a micromechanical model is proposed to predict the constitutive behavior of isolated polymer-colloid clusters under tension. The mechanical response of a cluster is considered to be governed by a backbone chain, which is the stress path that transfers most of the applied load. The developed model can reproduce the mean behavior of the clusters and is not dependent on their local geometry. The model utilizes four geometrical parameters for defining six shape descriptor functions which can affect the geometrical change of the clusters in the course of deformation. The predictions of the model are benchmarked against an extensive set of simulations by coarse-grained-Brownian dynamics, where clusters with different shapes and sizes were considered. The model exhibits good agreement with these simulations, which, besides its relative simplicity, makes the model an excellent add-on module for implementation into multiscale models of nanocomposites.

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Network evolution model of anisotropic stress softening in filled rubber-like materials: Parameter identification and finite element implementation

Cited by 18 publications

References 37 publications

Constitutive modeling of the Mullins effect and cyclic stress softening in filled elastomers

Constitutive modeling of the Mullins effect and cyclic stress softening in filled elastomers

An energy-based method in phenomenological description of mechanical properties of nonlinear materials under plane stress

Micromechanical model for isolated polymer-colloid clusters under tension

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