Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation

Lahellec, Noël; Mazerolle, Frédéric; Michel, Jean‐Claude

doi:10.1016/s0022-5096(03)00104-2

Cited by 67 publications

(46 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We set D equal to infinity for fully incompressible materials. Based on the test data, the material properties of each rubber can be determined by curve fitting [5,33] as it is shown in Figure 8.…”

Section: Hyperelastic Constitutive Model For Rubbermentioning

confidence: 99%

Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations

Kondé¹,

Rosu

Lebon

et al. 2013

Open Engineering

View full text Add to dashboard Cite

Abstract:The thermomechanical behavior of an aircraft tire is predicted, using experimental devices, a model based on finite element software and an appropriate method of expressing the heat generated by skid in terms of the local friction coefficient, depending on the temperature. In the thermomechanical model, a steady state mechanical analysis is combined with a transient thermal problem. This combined approach is based on three main computing steps: the deformation step, the dissipation step and the thermal step. The deformation step calculates the stress and the velocity fields, which are used as inputs in the dissipation step to calculate the heat generated due to friction. The internal dissipation is assumed to be negligible. Finally, the thermal step yields new thermal maps based on the heat flux computed in the dissipation step. The coupling is established by updating the friction coefficient in the first two steps.

show abstract

Section: Hyperelastic Constitutive Model For Rubbermentioning

confidence: 99%

Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations

Kondé¹,

Rosu

Lebon

et al. 2013

Open Engineering

View full text Add to dashboard Cite

show abstract

“…The advantage of these methods is that they can be used for any type of composite system, and that they make use of standard estimates for a suitably optimized "linear comparison composites" to generate corresponding estimates for the nonlinear hyperelastic composite. These methods have already been used to estimate the behavior of particle-reinforced elastomers [29,19,17,20], and have been shown to be able to handle the strongly nonlinear constraint of material incompressibility (a constraint on the determinant of the deformation) for these material systems. These encouraging results for particle-reinforced elastomers are suggestive that the methods can also be used successfully for porous elastomers.…”

Section: Introductionmentioning

confidence: 99%

Second-Order Estimates for the Macroscopic Response and Loss of Ellipticity in Porous Rubbers at Large Deformations

Lopez-Pamies¹,

Castañeda²

2004

J Elasticity

View full text Add to dashboard Cite

Abstract. This work presents the application of a recently proposed "second-order" homogenization method (Ponte Castañeda, 2002) to generate estimates for effective behavior and loss of ellipticity in hyperelastic porous materials with random microstructures that are subjected to finite deformations. The main concept behind the method is the introduction of an optimally selected "linear thermoelastic comparison composite", which can then be used to convert available linear homogenization estimates into new estimates for the nonlinear hyperelastic composite. In this paper, explicit results are provided for the case where the matrix is taken to be isotropic and strongly elliptic. In spite of the strong ellipticity of the matrix phase, the homogenized "second-order" estimates for the overall behavior are found to lose ellipticity at sufficiently large compressive deformations corresponding to the possible development of shear band-type instabilities (Abeyaratne and Triantafyllidis, 1984). The reasons for this result have been linked to the evolution of the microstructure, which, under appropriate loading conditions, can induce geometric softening leading to overall loss of ellipticity. Furthermore, the "second-order" homogenization method has the merit that it recovers the exact evolution of the porosity under a finite-deformation history in the limit of incompressible behavior for the matrix.

show abstract

“…The hyper-elastic behavior of rubber is based on the Mooney-Rivlin model [25,26]. This model is widely used in tire modeling [27][28][29]. A macroscopic approach is adopted in all simulations, which means that neither the roughness of the track surface nor the molecular structure of rubber chains was taken into account.…”

Section: Numerical Simulation Of a Sliding Rubber Blockmentioning

confidence: 99%

Experimental and Numerical Simulation of the Dynamic Frictional Contact between an Aircraft Tire Rubber and a Rough Surface

et al. 2016

View full text Add to dashboard Cite

This paper presents a numerical simulation of an aircraft tire in contact with a rough surface using a variable friction coefficient dependent on temperature and contact pressure. A sliding facility was used in order to evaluate this dependence of the friction coefficient. The temperature diffusion throughout the tire cross-section was measured by means of thermocouples. Both frictional heating and temperature diffusion were compared to numerical two-and three-dimensional simulations. An adequate temperature prediction could be obtained. In future simulations, wear should be taken into account in order to have a more accurate simulation especially in the case of high pressures and slipping velocities. A 3D finite element model for a rolling tire at a velocity of 37.79 knots (19.44 m/s) and in a cornering phase was investigated using a variable friction coefficient dependent on temperature and pressure. The numerical simulation tended to predict the temperature of the tire tread after a few seconds of rolling in skidding position, the temperature of the contact zone increases to 140 • C. Further investigations must be carried out in order to obtain the evolution of the temperature observed experimentally. The authors would like to point out that for confidentiality reasons, certain numerical data could not be revealed.

show abstract

Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation

Cited by 67 publications

References 12 publications

Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations

Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations

Second-Order Estimates for the Macroscopic Response and Loss of Ellipticity in Porous Rubbers at Large Deformations

Experimental and Numerical Simulation of the Dynamic Frictional Contact between an Aircraft Tire Rubber and a Rough Surface

Contact Info

Product

Resources

About