One‐Dimensional Visco‐Elastoplastic Constitutive Model for Asphalt Concrete

Abstract

This paper proposes a new visco-elastoplastic constitutive model for asphalt concretes able to reproduce the non linear time-dependent behaviour of such materials.The constitutive model has been developed with the aim of making it fit specific experimental features previously observed. Moreover the proposed formulation will be demonstrated to be fully consistent with general thermodynamic requirements. Apart from a rigorous analytical formulation; a corresponding rheological sketch of the model is also given. From this representation, it can be shown that the model is essentially a combination of a generalized Maxwell model and a hardening visco-plastic element.

Investigation on Microstructural Damage Properties of Asphalt Mixture Using Linear and Damage-Coupled Viscoelastic Model

“…Motivated and guided by the aforementioned damage evolution laws and the LAS test, in this study, the damage density of heterogeneous materials such as asphalt mixture under loading is proposed as a function of the current strain. For the incremental formulation, the damage evolution law can be calculated using Equation (13), such that:…”

“…Therefore, we assume that the maximum value of the rate of the damage density occurs at the peak point of the stress-strain diagram and considered the inflection point of stress-strain diagram as the strain at which the maximum nominal stress occurs. The normalized damage density versus strain curve is produced as shown in Figure 5 using Equation (13). The best fitting equation is obtained in Equation (23):…”

“…The normalized damage density versus strain curve is produced as shown in Figure 5 using Equation (13). The best fitting equation is obtained in Equation (23):…”

“…Furthermore, García et al [10], Zhang et al [11], and Huang et al [12] have developed numerical schemes for implementation of linear viscoelastic constitutive model in finite element (FE) codes to simulate the mechanical properties of asphalt mixture under certain conditions. However, different material's response models, based on visco-elastic-plastic equations implemented on finite element codes [13][14][15][16], rather than with the discrete element method [17,18] can be found in the literature.…”

Computational analysis of the creep behaviour of bituminous mixtures

“…The visco-elasto-plastic response of bituminous mixtures can be described by means of rheological models comprising elastic, viscous and plastic components, paired in a more or less complex way, according to the accuracy desired for the simulation and the possibility of surmounting the mathematical complexity resulting from the number of initial components utilised [1][2][3][4]. A step forward in the constitutive modelling of asphalt concretes can be achieved, in terms of theoretical generalisation of the rheological models, by means of the continuum thermomechanics, introducing concepts as the Helmholtz free energy and the dissipative inequality of Clausius-Duhem [5][6][7][8].…”