Eventos Anais de eventos
MECSOL 2022
8th International Symposium on Solid Mechanics
Theory and Application of the Applied Element Method in Linear Elastic Regime
Submission Author:
César Eduardo Petersen , SC , Brazil
Co-Authors:
César Eduardo Petersen, Ricardo Pieralisi
Presenter: César Eduardo Petersen
doi://10.26678/ABCM.MECSOL2022.MSL22-0211
Abstract
The Applied Element Method (AEM) divides a structure into smaller rigid elements connected by a series of normal and tangential springs pairs spread along the element edge. It combines the advantages of both finite and discrete element methods (FEM and DEM, respectively), allowing accurate results from small displacements to large deformations. In AEM, each element has 3 degrees of freedom (DoFs). The body assembly stiffness matrix is a sum of every spring pair stiffness. The Poisson effect is also modeled without the addition of extra DoFs, by considering the effect of neighboring elements on the assembly. Strain and stress are calculated from relative displacements of the springs, and the stress in each element is the average of the stresses in its connected springs. In this work, the basic linear-elastic formulation of the method was implemented on C++. A cantilever beam with applied load and a fixed beam with distributed load were analyzed. The models were compared with theoretical models as well as traditional FEM models on ANSYS 2021 R2 educational version with equivalent element sizes. A mesh sensitivity analysis was also done, with the model successfully converging with elements about 1/40 of the smallest dimension.
Keywords
Applied element method, Numerical Methods, structural analysis, Computational Mechanics
