Rheological modeling of randomly packed granules with visco-elastic binders of Maxwell type

Chang, Ching-Shung; Gao, Jian

doi:10.1016/s0266-352x(97)00012-8

Cited by 9 publications

(6 citation statements)

References 5 publications

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“…The finite element results are explored to evaluate approximate analytical models. Regarding very fine mesh and three dimensional models we assume that FE results are very accurate and maybe used for evaluation of approximate analytical expressions (4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14). The FE calculations are restricted to the mostly heterogeneous case, where bond between particles is much lower than particles.…”

Section: Evaluation Of Analytical and Fe Model Resultsmentioning

confidence: 99%

“…For example, studies on cemented particulate materials by Dvorkin et al [10] and Zhu et al [11] provided information on the normal and tangential load transfer between cemented particles. Applications of such contact-based micromechanical analysis for asphalt mixture behaviour have been reported by Chang and Gao [12], Cheung et al [13] and Zhu and Nodes [14].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Investigation of Normal Contact Interaction Between Two Bonded Spherical Particles With Interface Layer

Pilkavičius

Kačianauskas

Norkus

2013

mech

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Section: Evaluation Of Analytical and Fe Model Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation of Normal Contact Interaction Between Two Bonded Spherical Particles With Interface Layer

Pilkavičius

Kačianauskas

Norkus

2013

mech

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“…The phenomenon known as viscoelasticity is defined as a solid material exhibiting viscous and elastic behaviour similar to liquids [1][2][3][4][5][6][7][8]. Over the last few decades, the study of viscoelasticity has widely attracted the interest of physicists, mathematicians and engineers [1,4,[9][10][11][12][13][14][15][16][17][18][19]. For viscoelastic bodies, creep tests and relaxation tests have shown that the stress depends not only on the instantaneous strain but also on the time history of the strain [2,[20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…This is different from classic elastic theory, which cannot actually reflect viscoelastic behaviour. Therefore, the constitutive relationship [1,6,11,12,17,19,23,24] of viscoelasticity has become one of the main topics of viscoelastic theory. In the past few decades, constitutive models for viscoelasticity have developed to a mature level.…”

Section: Introductionmentioning

confidence: 99%

Stationary probability densities of generalized Maxwell-type viscoelastic systems under combined harmonic and Gaussian white noise excitations

Wang

2020

J Braz. Soc. Mech. Sci. Eng.

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Viscoelasticity has been widely studied over the past few decades as a combination of the viscous effects of energy dissipation and the elastic effects of energy storage. As an application, viscoelastic dampers are commonly used to suppress the dynamic behaviour of structures. However, in an actual physical environment, it is difficult to explore the stationary probability densities of random responses for viscoelastic systems. For this purpose, we present a numerical method to investigate the dynamic behaviour of a generalized Maxwell-type viscoelastic system under harmonic and Gaussian white noise excitations. Using approximate equivalent and stochastic averaging, we establish an averaged Itô differential equation for the amplitude of the system. For primary external resonance, we solve the reduced Fokker-Planck-Kolmogorov equation by using the successive over-relaxation technique combined with a finite difference method. Through Monte Carlo simulations, we verify the applicability, accuracy and efficiency of the proposed methodology and demonstrate that viscoelasticity has a significant impact on the dynamic behaviour of the viscoelastic systems. This work reveals the remarkable influences of viscoelasticity, excitation intensities, linear and nonlinear damping and linear and nonlinear stiffness on the probability density functions of system responses, which can guide the selection of materials, stiffnesses and structures in viscoelastic damper design.

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“…For example, studies on cemented particulate materials by Dvorkin et al [1] and Zhu et al [2] provided information on the normal and tangential load transfer between cemented particles. Applications of such contact-based micromechanical analysis for asphalt mixture behaviour have been reported by Chang and Gao [3], Cheung et al [4] and Zhu and Nodes [5].…”

Section: Introductionmentioning

confidence: 99%

A micromechanical finite element model for linear and damage-coupled viscoelastic behaviour of asphalt mixture

Dai¹,

Sadd²,

You³

2006

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYThis study presents a finite element (FE) micromechanical modelling approach for the simulation of linear and damage-coupled viscoelastic behaviour of asphalt mixture. Asphalt mixture is a composite material of graded aggregates bound with mastic (asphalt and fine aggregates). The microstructural model of asphalt mixture incorporates an equivalent lattice network structure whereby intergranular load transfer is simulated through an effective asphalt mastic zone. The finite element model integrates the ABAQUS user material subroutine with continuum elements for the effective asphalt mastic and rigid body elements for each aggregate. A unified approach is proposed using Schapery non-linear viscoelastic model for the rateindependent and rate-dependent damage behaviour. A finite element incremental algorithm with a recursive relationship for three-dimensional (3D) linear and damage-coupled viscoelastic behaviour is developed. This algorithm is used in a 3D user-defined material model for the asphalt mastic to predict global linear and damage-coupled viscoelastic behaviour of asphalt mixture.For linear viscoelastic study, the creep stiffnesses of mastic and asphalt mixture at different temperatures are measured in laboratory. A regression-fitting method is employed to calibrate generalized Maxwell models with Prony series and generate master stiffness curves for mastic and asphalt mixture. A computational model is developed with image analysis of sectioned surface of a test specimen. The viscoelastic prediction of mixture creep stiffness with the calibrated mastic material parameters is compared with mixture master stiffness curve over a reduced time period.In regard to damage-coupled viscoelastic behaviour, cyclic loading responses of linear and rate-independent damage-coupled viscoelastic materials are compared. Effects of particular microstructure parameters on the rate-independent damage-coupled viscoelastic behaviour are also investigated with finite element simulations of asphalt numerical samples. Further study describes loading rate effects on the asphalt viscoelastic properties and rate-dependent damage behaviour.

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Rheological modeling of randomly packed granules with visco-elastic binders of Maxwell type

Cited by 9 publications

References 5 publications

Investigation of Normal Contact Interaction Between Two Bonded Spherical Particles With Interface Layer

Investigation of Normal Contact Interaction Between Two Bonded Spherical Particles With Interface Layer

Stationary probability densities of generalized Maxwell-type viscoelastic systems under combined harmonic and Gaussian white noise excitations

A micromechanical finite element model for linear and damage-coupled viscoelastic behaviour of asphalt mixture

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