Eventos Anais de eventos
MECSOL 2022
8th International Symposium on Solid Mechanics
Viscoelastic Boundary Element Analysis of Three-Dimensional Exponentially Graded Solids
Submission Author:
Sidnei André Santos , MG , Brazil
Co-Authors:
Sidnei André Santos, Carlos Daros
Presenter: Lucas Mamedes
doi://10.26678/ABCM.MECSOL2022.MSL22-0188
Abstract
In the present work, the linear viscoelastic behaviour of three-dimensional isotropic exponentially graded solids under tensile loading conditions is investigated using the boundary element method (BEM). For the exponentially graded solids considered, the elastic modulus varies exponentially along with one, two, or three directions and the Poisson’s ratio is assumed to be constant. In order to model the material gradation a fundamental solution for exponentially graded isotropic solids has been readily incorporated into the traditional boundary integral kernels. The viscoelastic behaviour of the material is performed by including in the BEM formulation an approach based on the differential constitutive relations for linear viscoelasticity employing rheological solids models. Numerical examples considering the creep behaviour of the Kelvin-Voigt and Boltzmann material models are presented to demonstrate the accuracy, efficiency and versatility of the used methodology. The results are confirmed by comparisons with the corresponding analytical responses, when possible, or finite element analysis software. Useful information regarding displacement and traction of viscoelastic FGM are obtained here.
Keywords
viscoelasticity, Boundary Element Method, Functionally graded viscoelastic materials, Numerical Methods, Boundary element analysis
