Efficient reevaluation of surface displacements in a layered elastic half-space

Sebastian Andersen*, Eyal Levenberg, Mathias B. Andersen

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

59 Downloads (Pure)

Abstract

In situ evaluation of mechanical pavement properties requires fitting measured surface displacements with model displacements. Such inverse analysis is guided by optimisation algorithms that entail re-execution of the underlying model many times over. For layered elasticity, which is the most commonly employed pavement model, this involves calculating computationally demanding semi-infinite integrals in every optimisation step. In this connection, a method was proposed to improve the computational efficiency of surface displacement recalculations in layered elastic systems. It was based on manipulating the original integrals by adding and then subtracting carefully selected auxiliary functions so that they remained mathematically unchanged, yet became faster to compute. The auxiliary functions were derived from an analytic interrogation, rendering the formulation robust and applicable to any layered elastic system without practical restrictions on the model parameters. Overall, the method is deemed consistently more efficient than standard evaluation techniques for achieving a given accuracy level.
Original languageEnglish
JournalThe International Journal of Pavement Engineering
Pages (from-to)1-8
ISSN1029-8436
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • Layered elastic theory
  • Computational efficiency
  • Surface displacements
  • Numerical approximation
  • Inverse analysis

Cite this

@article{838bc5cba301486c9f3f12b7159463c9,
title = "Efficient reevaluation of surface displacements in a layered elastic half-space",
abstract = "In situ evaluation of mechanical pavement properties requires fitting measured surface displacements with model displacements. Such inverse analysis is guided by optimisation algorithms that entail re-execution of the underlying model many times over. For layered elasticity, which is the most commonly employed pavement model, this involves calculating computationally demanding semi-infinite integrals in every optimisation step. In this connection, a method was proposed to improve the computational efficiency of surface displacement recalculations in layered elastic systems. It was based on manipulating the original integrals by adding and then subtracting carefully selected auxiliary functions so that they remained mathematically unchanged, yet became faster to compute. The auxiliary functions were derived from an analytic interrogation, rendering the formulation robust and applicable to any layered elastic system without practical restrictions on the model parameters. Overall, the method is deemed consistently more efficient than standard evaluation techniques for achieving a given accuracy level.",
keywords = "Layered elastic theory, Computational efficiency, Surface displacements, Numerical approximation, Inverse analysis",
author = "Sebastian Andersen and Eyal Levenberg and Andersen, {Mathias B.}",
year = "2020",
doi = "10.1080/10298436.2018.1483502",
language = "English",
pages = "1--8",
journal = "The International Journal of Pavement Engineering",
issn = "1029-8436",
publisher = "CRC Press/Balkema",

}

Efficient reevaluation of surface displacements in a layered elastic half-space. / Andersen, Sebastian; Levenberg, Eyal; Andersen, Mathias B.

In: The International Journal of Pavement Engineering, 2020, p. 1-8.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Efficient reevaluation of surface displacements in a layered elastic half-space

AU - Andersen, Sebastian

AU - Levenberg, Eyal

AU - Andersen, Mathias B.

PY - 2020

Y1 - 2020

N2 - In situ evaluation of mechanical pavement properties requires fitting measured surface displacements with model displacements. Such inverse analysis is guided by optimisation algorithms that entail re-execution of the underlying model many times over. For layered elasticity, which is the most commonly employed pavement model, this involves calculating computationally demanding semi-infinite integrals in every optimisation step. In this connection, a method was proposed to improve the computational efficiency of surface displacement recalculations in layered elastic systems. It was based on manipulating the original integrals by adding and then subtracting carefully selected auxiliary functions so that they remained mathematically unchanged, yet became faster to compute. The auxiliary functions were derived from an analytic interrogation, rendering the formulation robust and applicable to any layered elastic system without practical restrictions on the model parameters. Overall, the method is deemed consistently more efficient than standard evaluation techniques for achieving a given accuracy level.

AB - In situ evaluation of mechanical pavement properties requires fitting measured surface displacements with model displacements. Such inverse analysis is guided by optimisation algorithms that entail re-execution of the underlying model many times over. For layered elasticity, which is the most commonly employed pavement model, this involves calculating computationally demanding semi-infinite integrals in every optimisation step. In this connection, a method was proposed to improve the computational efficiency of surface displacement recalculations in layered elastic systems. It was based on manipulating the original integrals by adding and then subtracting carefully selected auxiliary functions so that they remained mathematically unchanged, yet became faster to compute. The auxiliary functions were derived from an analytic interrogation, rendering the formulation robust and applicable to any layered elastic system without practical restrictions on the model parameters. Overall, the method is deemed consistently more efficient than standard evaluation techniques for achieving a given accuracy level.

KW - Layered elastic theory

KW - Computational efficiency

KW - Surface displacements

KW - Numerical approximation

KW - Inverse analysis

U2 - 10.1080/10298436.2018.1483502

DO - 10.1080/10298436.2018.1483502

M3 - Journal article

SP - 1

EP - 8

JO - The International Journal of Pavement Engineering

JF - The International Journal of Pavement Engineering

SN - 1029-8436

ER -