Uncertainty Evaluation of Residual Stress Measurement in Toughened Glass Using the Marshall–Lawn Indentation Model

Ahmadi, Sara; Share Pasand, Mohammad Mahdi

doi:10.30501/acp.2026.573148.1189

Uncertainty Evaluation of Residual Stress Measurement in Toughened Glass Using the Marshall–Lawn Indentation Model

Document Type : Original Research Article

Authors

Sara Ahmadi ¹

Mohammad Mahdi Share Pasand ²

¹ Construction and Mineral Research Group, Research Center of Technology and Engineering, Standard Research Institute, Karaj, Iran.

² Electrical engineering Research Group, Research Center of Technology and Engineering, Standard Research Institute, Karaj, Iran.

10.30501/acp.2026.573148.1189

Abstract

Uncertainty is an inherent component of any measured or model-derived quantity and depends on both the applied mathematical formulation and the uncertainties of its input parameters. Since direct measurement of compressive stress in glass is generally not feasible, mathematical models such as the Marshall–Lawn indentation formula are widely used. In this study, the uncertainty associated with this formula is evaluated following the ISO Guide 98 (GUM) framework. Sensitivity coefficients are obtained from the partial derivatives of the model, and a complete uncertainty budget is constructed based on experimental data and literature-derived inputs. The results provide a traceable and structured uncertainty analysis for estimating residual compressive stress in toughened glass surfaces.

Keywords

Uncertainty EvaluationGUMSO Guide 98Marshall&ndash

Lawn ModelResidual Stress

Subjects

Properties (Physical, Mechanical, Optical, Electrical, Thermal, Chemical, Structural, Acoustical, Environmental, Radiological, Magnetic, Atomic, Thermodynamic, and Manufacturing)

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