If the von Mises stress is below the yield stress, the material can generally be considered to behave elastically, provided the conditions are expressed mathematically. However, this assumption holds true primarily for single or low cycle loads; cyclic loading necessitates consideration of the material's fatigue strength. The applicability of the von Mises yield criterion varies by material type, being suitable for ductile and homogeneous materials like steel. For materials such as concrete and ceramics, alternative yield criteria like Drucker-Prager are more appropriate due to differing tension and compression behaviors. Understanding these distinctions is crucial for accurate material behavior assessment under various loading conditions.