![]() ![]() Theoretically, the stress at the singularity is infinite. As we keep refinement the mesh, the stress at this point keeps increasing, and increasing, and increasing. A stress singularity is a point of the mesh where the stress does not convergence towards a specific value. In structural analysis, we are mainly concerned about displacements and their derivatives - the stresses. What are they? When do they pose for concern? How should we, as FE analysts, deal with them? 2. This article puts its focus on stress singularities and stress concentrations. Stress singularities are one of these situations. However, there are situations where the solution does not converge with mesh refinement. If there is an analytical solution for the given problem, the mesh refinement procedure will converge towards the exact solution. As we progressively refine the mesh, the solution improves and given enough iterations it converges towards a specific result. The accuracy of the solution greatly depends on the number of elements used to represent the physical domain. It relies on discretizing a continuum domain into finite elements. The FEM (Finite Element Method) is a way of obtaining a of finding a solution to a physical problem. ![]()
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