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According to their time and rate dependent response to the exterior loads, there was too much complexity to predict mechanical responses. Thus, a thermodynamically consistent viscoelastic-viscoplastic-viscodamage model is considered to predict their mechanical responses. Along this purpose, the explicit time-discrete form of the constitutive model is used in the finite element software ABAQUS by VUMAT subroutine. This method is valuable since its accuracy, low running time and no need of Jacobian matrix calculations. After validating ABAQUS user subroutine with experimental data obtained from creep, creep-recovery and repeated creep-recovery tests on the polymer, constitutive model sensitivity to the material parameters such as viscoelastic, viscoplastic and damage properties has been investigated. Along this purpose, it can be observed that increasing viscoplastic and damage parameters could cause rising in viscoplastic strain and damage variable. Then, the direct effects of loading time and stress level and the indirect effects of unloading time on polymer strain and damage variable were investigated in the two repeated creep-recovery tests with constant and increasing amplitudes. For instance, doubling increasing amplitude cycle number from 50 to 100 could rise service life and decrease about 75 percent of damage level.

Rutting is one of the most critical distresses influenced the asphalt pavement performance and its service life. Due to the complexity of the mechanical asphalt pavement responses, to study the mechanical behavior of this material under applying loads, a thermodynamically consistent visco- elastic visco- plastic visco- damage constitutive model has been presented in the implicit time discrete form to predict their mechanical responses within the framework pf the finite element method in software ABAQUS- Standard. It is worthy to mention that employing an implicit time discretization technique reduces the computational cost and a more stable solution is found. In this work, rutting phenomenon and prediction of the asphalt pavement service life has been investigated under three types of moving loading regimes, which forty percent of rutting difference has been obtained by comparing the pulse and equivalent loadings under moving load that would cause erroneous predictions in asphalt pavement service life.

The destruction of asphalt pavements is one of the biggest problems in road construction in the world, which incurs a huge amount of annual rebuilding. The healing process to recover damage is one of the effective methods to extend the life of these pavements, which has been presented by researchers in recent years. Self-healing polymers are a class of smart materials that, without the need for external stimulation, can repair part of the damage generated as microcracks and microvoids in their microstructures. Along with the purpose of the study, i.e., investigating the effect of healing in the lifetime of asphalt pavements, the explicit time-discrete form of the thermodynamically consistent model is presented in order to be utilized in a finite element ABAQUS software by VUMAT subroutine. The discretization method mentioned here has benefits such as low calculation costs and high reliability in response. Then, three-dimensional modeling of general vehicles' tire has been done using hyperelastic and viscoelastic materials in order to have the desired deformation on the pavement after applying the load. In the following, to evaluate permanent deformations (common failures in the asphalt pavement) and the effect of the healing process on its dilation, it is necessary to simulate its behavior in high-cycle loadings. In order to reduce the cost and time of computation, an alternative method has been used. In this method, in order to speed up the growth of damage and, also, healing effect, tire moving velocity has decreased. This may increase the time of loading on asphalt; therefore, rate of damage increase. In this simulations, the life of the asphalt pavement is compared with the effect of healing and without the effect. The results obtained from the simulations show that, by applying the effect of healing, the growth rate of damage and destructions caused by the permanent deformation of the pavement decreases, and the pavement lifetime can be increased up to more than 70%.

Self-healing polymers are a class of smart materials that have attracted many researchers due to their unique ability. These materials are able to heal part of the damage without the need to identify the site. In order to study the behavior of these polymers, a thermodynamically consistent model is proposed to predict the mechanical response. Along with this, the implicit time-discrete form of the constitutive model is presented in order to utilize in ABAQUS software by UMAT subroutine. In the discretization, the Newton-Raphson method has been used to update internal variables such as viscoplastic strain components. Considering the calibration of the material parameters by the experimental results of the asphalt sample, the movement of vehicle on the desired pavement has simulated. In this research, a detailed explanation of how to perform the finite element analysis of mechanical behavior of asphalt pavements is presented using constitutive model and its implicit discretization. In the following, its validation with existing experimental results is also carried out. Next, a comparison between the simulations is performed without and with healing effect. From the results of finite element analysis, the important role of healing in the life of the pavement can be noted, which can increase the recovery of damage up to 20%.