| Full text | |
| Author(s): |
Coda, Humberto Breves
;
Sanches, Rodolfo Andre Kuche
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ACTA MECHANICA; v. N/A, p. 33-pg., 2022-06-19. |
| Abstract | |
When writing movement equations in stresses for continuous media, it makes no difference whether the media are solid or fluid. The fundamental difference in the solution of these two problems relies on the respective constitutive laws. For solids, shear stresses are related to shear strains, resulting the Navier-Cauchy equation. For fluids, shear stresses are related to the time rate of shear strains, resulting in the Navier-Stokes equation. For solid and fluid isothermal problems, the pressure is related to the volumetric change. Based on hyperelastic solid mechanics equations, we present an alternative total Lagrangian unified model to simulate free surface compressive viscous isothermal fluid flow and simple viscoelastic solids. The proposed model is based on the deformation gradient multiplicative decomposition, which enables to establish a consistent Lagrangian constitutive law for quasi-Newtonian and non-Newtonian fluids, as well as for Kelvin-Voigt-like solids. The proposed constitutive model and the resulting positional prismatic finite element formulation are explored in numerical examples. (AU) | |
| FAPESP's process: | 20/05393-4 - Numerical formulations for the analysis of advanced materials and structures |
| Grantee: | Humberto Breves Coda |
| Support Opportunities: | Regular Research Grants |