Abstract This paper presents a numerical integration method for the convolution integral equation used to simulate the behavior of rate-dependent materials such as asphalt concrete mixtures. The piecewise method, one of the numerical integration methods for convolution integrals, is widely used in asphalt pavement engineering because of its simplicity of implementation. However, such a method, although fundamentally sound, takes considerable computational time because it requires numerical recalculations for all of the incremental time steps as the time of interest varies. In this paper, a new, generalized state variable method for both stress and strain response calculations is derived based on the current state variable method for stress response calculations so that the strain response can be calculated directly without the need to determine the tangent modulus. To evaluate the required computational time and the accuracy of this proposed generalized state variable method, the strain response calculated directly by the new method is compared with that calculated by the existing numerical integration method for an arbitrary stress history.
Generalized numerical computation method of the convolution integral for rate-dependent asphalt concrete mixtures
KSCE Journal of Civil Engineering ; 15 , 2 ; 257-260
2011-01-28
4 pages
Article (Journal)
Electronic Resource
English
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