Unified constitutive modeling of rubber-like materials under diverse loading conditions

Zéhil, Gérard-Philippe; Gavin, Henri P.

doi:10.1016/j.ijengsci.2012.09.002

Cited by 18 publications

(8 citation statements)

References 37 publications

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“…Rigorous and generalized models incorporating the effect of maximum applied strain, on The molecular structure and the predicted microstructural thick filament structure (T) formed from each of the mono-meric units (S) where both of the systems are thermodynamically stable [7,8] The amide group is represented as a filled circle and the dotted lines represent the hydrogen bonds. the current state of material, have been used to describe the non-linear response of network systems such as rubber and cells [44][45][46][47]. In this work, the secondary loops were modeled using modifications of the Giesekus model, with aspects of TNM and yield models.…”

Section: Materials Models Relevant For Laosmentioning

confidence: 99%

Large amplitude oscillatory shear of supramolecular materials

Jacob

Deshpande

Bouteiller

2014

Journal of Non-Newtonian Fluid Mechanics

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Section: Materials Models Relevant For Laosmentioning

confidence: 99%

Large amplitude oscillatory shear of supramolecular materials

Jacob

Deshpande

Bouteiller

2014

Journal of Non-Newtonian Fluid Mechanics

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“…This is the reason why the 42 directions proposed by Bazant and Oh [30] are used in the present study. The directional repartition is classically used to model rubber-like materials, especially to describe Mullins effect [31][32][33][34] The main advantage of using a microsphere repartition is that only monodimensional constitutive equations are needed to represent a tridimensional behavior. No tridimensional tensorial generalization of constitutive equations is required as in [19].…”

Section: Hysteresis Part 341 General Formmentioning

confidence: 99%

Hyperelasticity with rate-independent microsphere hysteresis model for rubberlike materials

Rey

Chagnon

Favier

et al. 2014

Computational Materials Science

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with rateindependent microsphere hysteresis model for rubberlike materials. Computational Materials Science, Elsevier, 2014Elsevier, , 90, pp.89-98. 10.1016Elsevier, /j.commatsci.2014 Hyperelasticity with rate-independent microsphere hysteresis model The mechanical behavior of elastomers strongly differs from one to another. Among these differences, hysteresis upon cyclic load can take place, and can be either rate-dependent or rate-independent. In the present paper, a microsphere model taking into account rate-independent hysteresis is proposed and applied to model filled silicone rubbers behavior. The hysteresis model is based on a combination of monodimensional constitutive equations distributed in space. The behavior of each direction is described by a collection of parallel spring slider elements. The sliders are Coulomb dampers with non-zero break-free force in tension. This model is tested on a filled silicone rubber by the way of uniaxial tensile and pure shear tests. The mechanical response of the material is well predicted for such tests. Finally, the constitutive equations are implemented in the finite element software ABAQUS. Calculation results highlight good performances of the proposed model.

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“…In addition, the key issue of an appropriate strain energy function for a specific material is still uncertain. Many research works have been devoted in evaluation of the existing ones [5][6][7] or creation of new ones [8][9][10][11]. Thirdly, new methods of solution are still under development [12][13][14] and need to be implemented in commercial codes and tested by a benchmark problem before application.…”

Section: Introductionmentioning

confidence: 99%

Benchmark Problems of Hyper-Elasticity Analysis in Evaluation of FEM

2020

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The paper proposes benchmark problems on exact solutions of hyper-elastic analysis, which can be used to evaluate analysis capabilities of rubber-like materials provided by a finite element program or other approximate solution methods. Special attention was concentrated on analysis and derivation of the exact solutions for the thick-walled rubber cylinders under internal pressure and axial extension, the thick-walled rubber balloons under internal pressure and the rubber cylinders under torsion or tension-torsion. Deformation and stress analysis on the above three cases were conducted to provide equations and methods for data processing. Exact standard solutions of the problems combined with the strain energy function of generalized high-order polynomials are given. Numerical examples and evaluation results of two commercial packages that are in common use (ABAQUS and ANSYS) are presented. Good agreements are found in the comparisons between the present exact standard solutions and the simulation results.

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Unified constitutive modeling of rubber-like materials under diverse loading conditions

Cited by 18 publications

References 37 publications

Large amplitude oscillatory shear of supramolecular materials

Large amplitude oscillatory shear of supramolecular materials

Hyperelasticity with rate-independent microsphere hysteresis model for rubberlike materials

Benchmark Problems of Hyper-Elasticity Analysis in Evaluation of FEM

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