Nonlinear Differential Equation for Modeling Asphalt Aging
Publication: Journal of Materials in Civil Engineering
Volume 7, Issue 4
Abstract
In this paper, we evaluate the logistic differential equation as a mathematical method for representing changes in asphalt properties during pavement aging in the field. We chose the logistic function because it appears to be theoretically consistent with the micromolecular model of asphalt aging. This choice was validated, because we did find that the logistic function gave a close fit with experimental data from a variety of pavement-aging studies. The logistic function allows us to quantify two essential characteristics of asphalt aging: the rate of aging and the ultimate degree of change in asphalt properties due to aging. Therefore, we believe that the logistic equation is a potentially powerful tool for studying asphalt aging, because it provides a method for consolidating aging data in an accurate and useful format. The importance of such a tool lies in its use for studying the relative effects on the aging process of factors such as asphalt type, void level, and climate. An understanding of the role of asphalt type on the aging process is crucial if we are to develop more durable asphalt pavements.
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Copyright © 1995 American Society of Civil Engineers.
History
Published online: Nov 1, 1995
Published in print: Nov 1995
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