A simple formulation applied to finite strain viscoelastic solids and compressive flows
Palavras-chave:
Large strain hyperelasticity, Kelvin-like viscoelasticity, Compressive isothermal fluid flow, Total Lagrangian formulationResumo
When writing movement equations in stresses for continuous media, it makes no difference if the
media is 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 and the Navier-Cauchy equation takes
place, while 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 relations, we present an original total Lagrangian numerical approach capable of modeling simple
large strain viscoelastic solids (Kelvin-like) and free-surface compressive viscous isothermal fluid flows. The
proposed model is implemented in an in house positional prismatic finite element formulation and is explored in
numerical examples.
