Numerical-Resolution Effects on FORM Reliability Estimates of Flexible Pavements Under Moving Loads: A Mode-Specific Assessment

Reliability estimates from dynamic pavement models can depend on numerical settings that appear adequate at nominal inputs. This study evaluates how Fourier truncation, cross-sectional mesh, time step, and interface recovery propagate into FORM estimates for fatigue and a rutting proxy in a four-layer pavement under a moving load. The proposed assessment separates recovery-location artifacts from discretization effects, tests numerical adequacy near each FORM design region, and permits mode-specific resolution. The SAFEM implementation reproduced benchmark response signs, ordering, timing, and a reported midspan interface stress within 2.8%. Interface-tied recovery removed a spurious depth-refinement trend. Across the numerical hierarchy, the signed fatigue index changed from 0.9099 to −2.1818, reversing the conditional classification; Fourier and transverse resolution controlled fatigue most strongly, whereas depth resolution controlled rutting. Direct half-step FORM reoptimization and an independent start agreed, and a 60-sample importance-sampling check provided evidence of consistency with direct sampling within the achieved sampling uncertainty. However, a nested half-to-quarter-step diagnostic exceeded the predeclared numerical target, so temporal convergence was not claimed and a diagnostic envelope was reported. A prospective Gaussian-process gate also required direct fallback. Nominal convergence alone therefore did not certify reliability-region accuracy; qualification had to combine response-consistent recovery, mode-specific refinement, design-point checks, and probability-level controls.

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Publication Details

Journal
Applied Sciences
Published
2026-10-16
DOI
https://doi.org/10.3390/app162010239
Primary Topic
Asphalt Pavement Performance Evaluation
Type
article
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article

Numerical-Resolution Effects on FORM Reliability Estimates of Flexible Pavements Under Moving Loads: A Mode-Specific Assessment

B.D. Sitilbay
Applied Sciences
Asphalt Pavement Performance Evaluation
article

Numerical-Resolution Effects on FORM Reliability Estimates of Flexible Pavements Under Moving Loads: A Mode-Specific Assessment

B.D. Sitilbay
article en

Abstract

Reliability estimates from dynamic pavement models can depend on numerical settings that appear adequate at nominal inputs. This study evaluates how Fourier truncation, cross-sectional mesh, time step, and interface recovery propagate into FORM estimates for fatigue and a rutting proxy in a four-layer pavement under a moving load. The proposed assessment separates recovery-location artifacts from discretization effects, tests numerical adequacy near each FORM design region, and permits mode-specific resolution. The SAFEM implementation reproduced benchmark response signs, ordering, timing, and a reported midspan interface stress within 2.8%. Interface-tied recovery removed a spurious depth-refinement trend. Across the numerical hierarchy, the signed fatigue index changed from 0.9099 to −2.1818, reversing the conditional classification; Fourier and transverse resolution controlled fatigue most strongly, whereas depth resolution controlled rutting. Direct half-step FORM reoptimization and an independent start agreed, and a 60-sample importance-sampling check provided evidence of consistency with direct sampling within the achieved sampling uncertainty. However, a nested half-to-quarter-step diagnostic exceeded the predeclared numerical target, so temporal convergence was not claimed and a diagnostic envelope was reported. A prospective Gaussian-process gate also required direct fallback. Nominal convergence alone therefore did not certify reliability-region accuracy; qualification had to combine response-consistent recovery, mode-specific refinement, design-point checks, and probability-level controls.

Applied SciencesVol. 16(20)
Yıldız Technical University (TR)
Openalex Percentile: Top 18%
Asphalt Pavement Performance Evaluation
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