An endochronic plasticity formulation for filled rubber

Netzker, Christiane; Dal, Hüsnü; Kaliske, Michael

doi:10.1016/j.ijsolstr.2010.04.026

Cited by 32 publications

(8 citation statements)

References 39 publications

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“…Experimental data and constitutive models expressing the Mullins effect have been published (Machado et al, 2010(Machado et al, , 2012Rebouah et al, 2013 as example). The Payne effect, which was found out by Payne (1961) and seems very similar to the Mullins effect, has also been observed by many researchers (Lion and Kardelky, 2004;Hofer and Lion, 2009;Rendek and Lion, 2010a,b;Blom and Kari, 2011;Netzker et al, 2010;Austrell and Olsson, 2012;Österlöf et al, 2014). The both two phenomena are strain-induced nonlinearities, and the Payne effect can recover in a very short time of several seconds or minutes while the Mullins effect is usually irreversible at room temperature.…”

Section: Introductionsupporting

confidence: 61%

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A finite viscoelastic constitutive model for filled rubber-like materials

Dong

Liao

2015

International Journal of Solids and Structures

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a b s t r a c tFilled rubber-like materials show a significant dependence on predeformation, frequency and amplitude when they are loaded with static predeformations superimposed by harmonic deformations. In order to investigate this predeformation-, frequency-and amplitude-dependent material behavior, a recently developed constitutive model of finite viscoelasticity is proposed based on the models of Lion and Kardelky (2004) and Hofer and Lion (2009). The constitutive equations are geometrically linearized in the neighborhood of predeformation and then formulated for incompressible materials. Finally, the process of parameter identification and some numerical aspects are shown. Additionally, the experimental verification and some numerical simulations will also be supplied. The results show that our model cannot only be used for loading cases with small strains but also with large strains. It may have some meanings for practical engineering applications.

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Section: Introductionsupporting

confidence: 61%

“…With the specific Helmholtz free energy function per unit volume w of the material in the reference configuration the isothermal form of the Clausius-Duhem inequality is (Netzker et al, 2010) TðtÞ : _…”

Section: Parametermentioning

confidence: 99%

A finite viscoelastic constitutive model for filled rubber-like materials

Dong

Liao

2015

International Journal of Solids and Structures

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“…The evolution of the arclengthż = |ε| ensures a smooth hysteresis and an always positive plastic strain, which is not affected by the loading rate. For more information about the specific plasticity approach, the reader is referred to [3,20]. Similar to the rate-independent branch, the total stretch is decomposed into elastic and viscoelastic stretches…”

Section: Uncured Rubber Modelmentioning

confidence: 99%

A thermo-mechanical material model for rubber curing and tire manufacturing simulation

Berger

Kaliske

2020

Comput Mech

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In this contribution, the phase change of unvulcanized to vulcanized rubber is described by a thermo-mechanical material model within the finite element method (FEM) framework. Before the vulcanization process (curing), rubber exhibits an elastovisco-plastic behaviour with significant irreversible deformations without a distinct yield surface. After exposing rubber to high temperature, the molecular chains build-up crosslinks among each other and its mechanical behaviour changes to stiffer viscoelastic material. The proposed model assumes, that both phases are present during the vulcanization process. The ratio changes from the uncured phase at the beginning to the cured phase according to the current state of cure. A constitutive curing formulation is introduced into the model, to capture the shape change during the vulcanization and to ensure, that the second law of thermodynamics is fulfilled. A multiplicative split of the deformation gradient is assumed to describe incompressible material. Thermal expansion due to the change of temperature is taken into account in the volumetric part, as well as shrinkage during the vulcanization process. In the isochoric part, the phase change from elasto-visco-plastic to viscoelastic material is described by micro-macro transition based on the micro-sphere model. The consistent formulation of the material model and its tangent are important for a successful implementation into a three-dimensional finite strain FEM framework. The capabilities of the model are shown by the simulation of an axisymmetric tire production process starting at the green tire inserted into the heating press up to a post-cure inflation step.

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“…Furthermore, a continuum mechanical material model Advances in Materials Science and Engineering formulation-see, e.g., [20][21][22] for an overview-is chosen to enable a numerically efficient representation of the shortand long-term behavior of asphalt materials on the macroscale within numerical simulations in the framework of the finite element method (FEM). Within the material model, the evolution of inelastic deformations is described via an endochronic plasticity approach [23]. A detailed derivation and explanation of the approach is available in [24].…”

Section: Tire-pavement Model For the Long-term Prediction Of Permanenmentioning

confidence: 99%

Modeling of Surface Drainage during the Service Life of Asphalt Pavements Showing Long‐Term Rutting: A Modular Hydromechanical Approach

Alber

Schuck

Ressel

et al. 2020

Advances in Materials Science and Engineering

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This paper presents a modular hydromechanical approach to assess the short- and long-term surface drainage behavior of arbitrarily deformable asphalt pavements. The modular approach consists of three steps. In the first step, the experimental characterization of the thermomechanical asphalt material behavior is performed. In the second step, information about the long-term material behavior of the asphalt mixtures is integrated on the structural scale via a finite element (FE) tire-pavement model for steady-state rolling conditions and time homogenization in order to achieve a computationally efficient long-term prediction of inelastic deformations of the pavement surface (rut formation). In the third step, information regarding the current pavement geometry (deformed pavement surface) is used to carry out a surface drainage analysis to predict, e.g., the thickness of the water film or the water depth in the pavement ruts as a function of several influencing quantities. For chosen numerical examples, the influence of road geometry (cross and longitudinal slope), road surface (mean texture depth and state of rut deformation), and rainfall properties (rain intensity and duration) on the pavement surface drainage capacity is assessed. These parameters are strongly interrelated, and general statements are not easy to find. Certain trends, however, have been identified and are discussed.

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An endochronic plasticity formulation for filled rubber

Cited by 32 publications

References 39 publications

A finite viscoelastic constitutive model for filled rubber-like materials

A finite viscoelastic constitutive model for filled rubber-like materials

A thermo-mechanical material model for rubber curing and tire manufacturing simulation

Modeling of Surface Drainage during the Service Life of Asphalt Pavements Showing Long‐Term Rutting: A Modular Hydromechanical Approach

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