Abstract
This study is concerned with the development of a numerical formulation for the convolution integral which represents a current time response from all previous time history in asphalt concrete. To solve the initial/boundary value problem involving linear viscoelasticity, the constitutive equation, expressed in the convolution integral form connected with the relaxation modulus obtained from frequency sweep tests of asphalt concrete specimens, is numerically formulated into an incremental expression. The relaxation modulus can be resulted in the mechanical models consisting of linear springs and dashpots. The mechanical Wiechert model of relaxation modulus is formulated by Prony series used for the numerical integral formulation based on the linear viscoelasticit y. For evaluation purpose, numerical examples involving a crosshead tension (or a constant-strain-rate-monotonic loading), a saw tooth shape loading, and a beam under tip load are incorporated into the validation of the numerical integration.
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