Open AccessA study of stress, displacements and strain in a stress concentrator using analytical calculus and Finite Element Method
Author(s) -
Brizeida Nohemí Ojeda
Publication year - 2019
Publication title -
innovation and development in engeneering and applied science
Language(s) - English
Resource type - Journals
ISSN - 2600-5573
DOI - 10.53358/ideas.v1i1.21
Subject(s) - finite element method , von mises yield criterion , traction (geology) , stress (linguistics) , stress–strain curve , materials science , structural engineering , calculus (dental) , deformation (meteorology) , mathematics , mathematical analysis , engineering , composite material , mechanical engineering , medicine , linguistics , philosophy , dentistry
A study of stresses, displacements, and strain, based on a classic solid mechanic’s model, specifically a plate with hole, around which a stresses concentration, is presented. For this purpose, the stresses analysis was carried out in a hole concentrator subjected to traction. The model's material was ASTM A36. The stresses were analytically calculated, through von Mises' theory. In addition, the analysis of the stresses using the finite element method (FEM) was carried out. Subsequently, displacements and unitary deformation were determined in the part. The results obtained report an error of 8.7% between the stresses of von Mises through analytical calculus and using the FEM.