Abstract
| Original language | English |
|---|---|
| Journal | The International Journal of Pavement Engineering |
| Pages (from-to) | 1-8 |
| ISSN | 1029-8436 |
| DOIs | |
| Publication status | Accepted/In press - 2020 |
Keywords
- Layered elastic theory
- Computational efficiency
- Surface displacements
- Numerical approximation
- Inverse analysis
Cite this
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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 journal › Journal article › Research › peer-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 -