Surface Loading of a Multilayered Viscoelastic Pavement: Semianalytical Solution
Publication: Journal of Engineering Mechanics
Volume 135, Issue 6
Abstract
In this paper a new method is proposed to analyze the mechanical response of a linear viscoelastic pavement. The material parameters of the asphalt concrete are characterized by the relaxation modulus and creep compliance, which are further represented by the Prony series. By virtue of the Laplace transform and the correspondence principle, the solution in the Laplace domain is first derived. The interconversion between the relaxation modulus and creep compliance is then applied to treat the complicated inverse Laplace transform. The displacement, strain, and stress fields are represented concisely in terms of the convolution integral in the time domain, which is subsequently solved analytically. Therefore, responses of the viscoelastic pavement are finally expressed analytically in the time domain and numerically in space domain, called a semianalytical approach. Since both the relaxation modulus and creep compliance are used simultaneously, instead of only one parameter in the conventional methods, the present method is also called a dual-parameter method. The present formulation is verified at both the short- and long-term time limits analytically and at the other finite time numerically, as compared to the conventional numerical methods. We clearly show that the present dual-parameter and semianalytical method can predict accurately the time-dependent responses of the viscoelastic pavement, especially at the long-term time. The present formulation could also be employed to validate the widely used collocation method.
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Acknowledgments
This work was partially supported by the Ohio Department of Transportation. The writers would also like to thank Professor Kevin Kreider at the Department of Applied Mathematics of the University of Akron for the discussion on the Volterra equation. The first writer would like further to thank Eshan Dave at the Department of Civil and Environmental Engineering of the University of Illinois at Urbana-Champaign for his valuable discussions on the interconversion between the relaxation modulus and creep compliance.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 6 • June 2009
Pages: 517 - 528
Copyright
© 2009 ASCE.
History
Received: Jan 4, 2008
Accepted: Dec 9, 2008
Published online: May 15, 2009
Published in print: Jun 2009
Notes
Note. Associate Editor: Bojan B. Guzina
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