| Full text | |
| Author(s): |
Thiesen, Jose Luis Medeiros
;
Klahr, Bruno
;
Carniel, Thiago Andre
;
Blanco, Pablo Javier
;
Fancello, Eduardo Alberto
Total Authors: 5
|
| Document type: | Journal article |
| Source: | JOURNAL OF ELASTICITY; v. 156, n. 3, p. 38-pg., 2024-07-10. |
| Abstract | |
A second-order multiscale theory based on the concept of a Representative Volume Element (RVE) is proposed to link a classical poromechanical model at the RVE scale to a high-order poromechanical model at the macro-scale in the context of finite-strain kinematics. The proposed theory is carefully derived from the Principle of Multiscale Virtual Power, which is a generalization of the Hill-Mandel Principle of Macrohomogeneity. The coupled governing equations of the low-scale and the homogenization rules for the flux and stress-like quantities are obtained by means of standard variational arguments. The main theoretical result is that the minimally constrained space for the pore pressure field allows for non-zero net fluid flow across the RVE boundaries, unlike first-order theories. The direct consequence of this finding is that the present theory can be consistently applied in cases where the low-scale (RVE level) exhibits substantial volume changes (swelling or shrinking) as a consequence of the evolution of the macro-scale kinematics. Details of formulation development and expression for the homogenized tangent operators are presented for those interested in the computational implementation of the model. (AU) | |
| FAPESP's process: | 14/50889-7 - National Institute of Science and Technology Medicine Assisted by Scientific Computing (INCT-MACC) |
| Grantee: | José Eduardo Krieger |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/14221-2 - Coronary bifurcations geometry: an exploratory study of the mathematical laws to estimate the vascular dimensions in coronary bifurcations |
| Grantee: | Gabriela Hidalgo Vargas dos Santos |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |