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Analysis of the atomic positions at the moment of fracture reveals that low-$E_cut$ simulations do not necessarily fail at the pre-existing crack tip (the physical weak point). Instead, failure often initiates in the bulk matrix where local numerical errors accidentally align to create a spurious energy maximum. This confirms that the failure is numerical, not physical. Tools specifically for laying out LEDs and neon

This paper addresses a specific failure mode induced by under-convergence, colloquially referred to as "Ecut cracking." This phenomenon occurs when a simulation model subjected to tensile strain fractures prematurely—not due to the physical instability of the material, but due to numerical noise amplified by an insufficient plane-wave basis set. We aim to quantify this effect and establish guidelines to ensure the physical fidelity of simulated mechanical failure. Security Threats and Malware Analysis of the atomic

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To avoid Ecut cracking in mechanical simulations, we propose the following best practices:

We analyzed the internal stress tensor components. For the $E_cut = 200$ eV case, we observed substantial fluctuations in the off-diagonal components (shear stress), even under uniaxial tension. This "noise" superimposes onto the physical stress concentration at the crack tip, reducing the effective critical stress intensity factor ($K_IC$) required to propagate the crack.