Generalized Phenomenological Model for the Viscoelasticity of Idealized Asphalts

• Published in: Journal of materials in civil engineering Vol. 26; no. 3; pp. 399 - 410
• Main Authors: Costanzi, M, Cebon, D
• Format: Journal Article
• Language: English
• Published: Reston, VA American Society of Civil Engineers 01.03.2014
• Subjects: Applied sciences; Asphalts; Bitumen. Tars. Bituminous binders and bituminous concretes; Bituminous mixtures; Buildings. Public works; Computer simulation; Constitutive relationships; Exact sciences and technology; Finite element method; Hardness tests; Materials; Mathematical models; Numerical analysis; Strength of materials (elasticity, plasticity, buckling, etc.); Structural analysis. Stresses; Technical Papers; Constitutive equation; Viscoelasticity; Viscosity; FEA; ABAQUS; Creep test; Construction materials; Theoretical study; Elasticity; UMAT; Indentation; Modeling; Bitumen; Finite element method; Phenomenological model; Asphalt; Shape recovery; Cyclic load; Numerical simulation; Burgers model; Comparative study; Constitutive equations; Strain rate
• ISSN: 0899-1561; 1943-5533
• DOI: 10.1061/(ASCE)MT.1943-5533.0000842

AbstractA generalized theory for the viscoelastic behavior of idealized bituminous mixtures (asphalts) is presented. The mathematical model incorporates strain rate and temperature dependency as well as nonmonotonic loading and unloading with shape recovery. The stiffening effect of the aggregate is included. The model is of phenomenological nature. It can be calibrated using a relatively limited set of experimental parameters, obtainable by uniaxial tests. It is shown that the mathematical model can be represented as a special nonlinear form of the Burgers model. This facilitates the derivation of numerical algorithms for solving the constitutive equations. A numerical scheme is implemented in a user material subroutine (UMAT) in the finite-element analysis (FEA) code ABAQUS. Simulation results are compared with uniaxial and indentation tests on an idealized asphalt mix.