Brinell hardness for hypereutectic Al–Si alloy nanoparticles enhanced diagnostics by a novel log-integral extrapolation scheme

Al-Si alloys are commonly used in applications necessitating lightness, malleability, and durability against corrosion and abrasion. The architecture of hypereutectic Al-Si alloys is defined by dendritic morphology, which restricts their formability and increases their susceptibility to micro-cracking. This case study presents novel design method for evaluating the survival function of a nonlinear nonstationary dynamic system or material, exposed to mixed stochastic, nonstationary environmental loads, specifically in the context of nanotechnology, composite materials, automotive and aerospace industries. The proposed design method integrates a novel log-integral notion, the Integrated Cumulative Distribution Function (ICDF), for precise modelling of failure or damage risk, grounded in experimentally determined Brinell material hardness. The proposed design method provides a comprehensive instrument for evaluating the reliability and safety of composite and nanomaterials in challenging and potentially adverse environments. Forecasted design values were cross-validated with a standard 4-parameter Weibull parametric fit. The integration of ICDF and physical measurements of key material properties may offer designers a robust framework for improving the reliability analysis of automotive and other types of structural parts, subjected to dynamic, rapidly fluctuating stressors. the primary novelty of this case study is in the integration of full-scale BHN hardness, utilizing a novel integral ICDF extrapolation method, which is especially beneficial for design applications when the underlying dataset is of a limited size. a novel formulation for the Most Probable Maximum (MPM) for jointly non-Gaussian distributed material imperfections with clustering effects is outlined. assessing the reliability of high-performance materials, where design failure probabilities are low (e.g., less than ). Presented ICDF design scheme shown to provide enhanced accuracy to the design values and estimates, when the underlying data sample is of limited size.