When interpreting a stress contour plot from a finite element analysis, what does a sharp gradient in stress across an element boundary specifically indicate regarding the model's accuracy or the physical phenomenon being modeled?

A sharp gradient in stress across an element boundary in a finite element analysis stress contour plot specifically indicates a significant change in stress magnitude over a short physical distance, meaning the stress value abruptly transitions between adjacent elements. This phenomenon requires careful interpretation regarding both the model's accuracy and the physical behavior being modeled. Regarding the model's accuracy, a sharp gradient primarily indicates that the mesh in that specific region is likely too coarse to accurately capture the true stress distribution. Finite element analysis approximates a continuous stress field by calculating discrete stress values at the nodes of individual elements. If the element size is large relative to the rate of change....