![]() ![]() How far away? Typically, as far away as the size of the disturbance. Further away from the disturbance the results will not be perturbed. Venant's principle states that the effect of local disturbances to a uniform stress fields remains local. Perhaps one of the most important principle in FEA as it validates FEA results even with the presence of singularities. On the contrary, the stress at the singularity will pollute the stress results near the singularity, however some distance away from the singularity the stress results will be fine! This is an immediate consequence of St. First of all, the displacements are correct even at the singularity point. The analyst must use his knowledge to determine the possible singularity locations and see if they are of importance for the model or not.Īlthough stress at these singularities is infinite, this does not mean that the model results are incorrect overall. As you can see, stress singularities are a common situation in FEA. Typical situations where stress singularities occur are the appliance of a point load, sharp re-entrant corners, corners of bodies in contact and point restraints. 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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