CRACKED.

This article explores the use of mathematics and computer simulations to enhance the safety and durability of structures such as airplanes, bridges, and dams. It emphasizes the significance of predicting and preventing cracks, which can lead to failures and accidents. The finite element (FE) method is introduced as a technique for modeling and analyzing object behavior under different loadings. The article also discusses the accuracy and limitations of current simulation methods and ongoing efforts to improve them. It addresses the challenges in improving the reliability of computer simulations, particularly in FE modeling, including the issue of locking and cultural differences between mathematicians and engineers. The article suggests error estimation and p refinement methods as potential solutions to enhance accuracy and reliability. It also explores the potential impact of artificial intelligence (AI) on simulations and the need for reliable safeguards in AI-driven simulations. Overall, the article emphasizes the importance of incorporating mathematical advancements and reliable techniques in numerical simulations to ensure safety in engineering projects. [Extracted from the article]