| Texto completo | |
| Autor(es): |
Thiesen, J. L. M.
;
Klahr, B.
;
Carniel, T. A.
;
Holzapfel, G. A.
;
Blanco, P. J.
;
Fancello, E. A.
Número total de Autores: 6
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; v. 433, p. 28-pg., 2024-10-30. |
| Resumo | |
We introduce a second-order computational homogenization procedure designed to address heterogeneous poromechanical media. Our approach relies on the method of multiscale virtual power, a variational multiscale method that extends the Hill-Mandel principle of macro- homogeneity. Constraints on displacement and pore pressure fields are managed using periodic and second-order minimally constrained fluctuating spaces. Numerical comparisons reveal that first-order models fail to accurately represent nonzero net fluid flow and volume changes at the micro-scale. In contrast, our second-order approach effectively captures nonuniform fluid flow across representative volume element boundaries, in agreement with results from direct numerical simulations. Our findings indicate that the classical first-order expansion of the pressure field is inadequate for poromechanical homogenization in cases involving micro-scale volume changes, such as swelling or contraction. The proposed second-order approach not only overcomes these limitations but also proves effective in cases where the principle of separation of scales is not strictly upheld. (AU) | |
| Processo FAPESP: | 14/50889-7 - INCT 2014: em Medicina Assistida por Computação Científica (INCT-MACC) |
| Beneficiário: | José Eduardo Krieger |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 18/14221-2 - Geometria das bifurcações coronárias: um estudo exploratório das leis matemáticas para estimar as dimensões vasculares em bifurcações coronárias |
| Beneficiário: | Gabriela Hidalgo Vargas dos Santos |
| Modalidade de apoio: | Bolsas no Brasil - Iniciação Científica |