A thermo-viscoelastic–viscoplastic–viscodamage constitutive model for asphaltic materials

Abstract

a b s t r a c tA temperature-dependent viscodamage model is proposed and coupled to the temperature-dependent Schapery's nonlinear viscoelasticity and the temperature-dependent Perzyna's viscoplasticity constitutive model presented in Abu Al-Rub et al. (2009) and Huang et al. (in press) in order to model the nonlinear constitutive behavior of asphalt mixes. The thermo-viscodamage model is formulated to be a function of temperature, total effective strain, and the damage driving force which is expressed in terms of the stress invariants of the effective stress in the undamaged configuration. This expression for the damage force allows for the distinction between the influence of compression and extension loading conditions on damage nucleation and growth. A systematic procedure for obtaining the thermo-viscodamage model parameters using creep test data at different stress levels and different temperatures is presented. The recursive-iterative and radial return algorithms are used for the numerical implementation of the nonlinear viscoelasticity and viscoplasticity models, respectively, whereas the viscodamage model is implemented using the effective (undamaged) configuration concept. Numerical algorithms are implemented in the well-known finite element code Abaqus via the user material subroutine UMAT. The model is then calibrated and verified by comparing the model predictions with experimental data that include creep-recovery, creep, and uniaxial constant strain rate tests over a range of temperatures, stress levels, and strain rates. It is shown that the presented constitutive model is capable of predicting the nonlinear behavior of asphaltic mixes under different loading conditions.

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

“…Krempl and Ho (1998);Colak (2005);Hall (2005) needs to be considered in the constitutive laws for these materials. Thus, a rate dependent damage model which was first proposed by Darabi et al (2011) for HMA (hot mixed asphalt materials), is utilized. But, there is no need to change the viscodamage model in view of the fact that this model is not on the base of infinite strains.…”

“…Nevertheless, the existing sophisticated and complex elastoplastic or viscoelasticviscoplastic constitutive laws for small strain conditions for materials such as: concrete and geotextiles (which are pressure-sensitive dilatant), asphaltic material (Darabi et al, 2011), and polymer and polymer composites (Kim and Muliana, 2009), have been developed based on additive decomposition of strain (or strain rate) to elastic and plastic parts. Furthermore, it would be difficult to convert them to a multiplicative decomposition based model.…”

“…Thereby, as mentioned above, this study attempts to bridge the gap and propose a general, single, accurate, reliable, and practical constitutive model to overcome the limitations of the current models for predicting the macroscopic behavior and evolution of damage in polymers. The damage model which was first proposed by Darabi et al (2011) for HMA (Hot mixed asphalt) materials is utilized in this work.…”

“…(4.45) to three-dimensions, by inverting Eq. (3.141) (see Chapter 3) and similar to the separation technique in mechanics of material that is also mentioned by Darabi et al (2011), the decomposition of GL strain with respect to the volumetric and deviatoric parts of II-PK stress, can be obtained as…”

Research on the Numerical Method and Parametric Study of Constitutive Model of Modified Double Base Propellant

“…Many scholars studied the viscoelastic and viscoplastic constitutive model of solid material, in the establishment of DARABI [5,6] establish a thermalviscoelastic-viscoplastic constitutive model to describe the mechanical properties of heat asphalt mixtures. KIM [7] compare the Schapery-Perzyna model and Schapery-Valanis modelto describe the viscoelastic and viscoplastic mechanics of particles reinforced material.…”