University of Illinois Urbana-Champaign

Innovative Algorithm to Solve Axisymmetric Displacement and Stress Fields in Multilayered Pavement Systems

Wang, Dong; Roesler, Jeffery R.; Guo, Da-Zhi

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https://hdl.handle.net/2142/18814

Description

Title
Innovative Algorithm to Solve Axisymmetric Displacement and Stress Fields in Multilayered Pavement Systems
Author(s)
  • Wang, Dong
  • Roesler, Jeffery R.
  • Guo, Da-Zhi
Issue Date
2011-04-12
Keyword(s)
  • Layered elastic theory
  • Laplace and Hankel integral transforms
  • Axisymmetric displacement and stress fields
Abstract
This paper presents an innovative algorithm to calculate the displacement and stress fields within a multilayered pavement system using Layered Elastic Theory and Hankel and Laplace integral transforms. In particular, a recurrence relationship, which links the Hankel transform of displacements and stresses at any point P(r, z) within a multilayered pavement system with those at the surface point Q(r, 0), is systematically derived. The Hankel transforms of displacements and stresses at any point within a multilayered pavement system can be explicitly determined using the derived recurrence relationships, and the subsequent inverse Hankel transforms give the displacements and stresses at the point of interest. Theoretical and computational verification of the proposed algorithm justify its correctness. The proposed algorithm does not use a numerical linear system solver employed in the traditional approach to solve the axisymmetric problems in multilayered pavement systems. Due to the explicitly-derived recurrence relationships for displacements and stresses, the proposed algorithm provides a more rapid solution time than the stress-function-based approach utilized in existing layered elastic theory programs.
Publisher
American Society of Civil Engineers (ASCE)
Type of Resource
text
Permalink
http://hdl.handle.net/2142/18814
DOI
https://doi.org/10.1061/(ASCE)TE.1943-5436.0000208
Sponsor(s)/Grant Number(s)
The work of the first author was partially supported by the 2008 Dwight David Eisenhower Graduate Fellowship.
Copyright and License Information
American Society of Civil Engineers (ASCE) holds the copyright of this technical paper.

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