The interaction of steady free-surface flows viscoplastic material with a surface-piercing obstruction square cross-section on an inclined plane is investigated theoretically. flow thickness increases upstream the and decreases in its lee. depends two dimensionless parameters: aspect ratio that relates thickness, width inclination; Bingham number quantifies magnitude yield stress relative to gr...

This note is concerned with the essential part of Finite Element Methods (FEM) approximation error analysis for quasi-Newtonian modelling thixo-viscoplastic (TVP) flow problems. The developed FEM settings thixotropic generalized Navier-Stokes equations based on a constrained monotonicity and continuity coupled system, which cornerstone an efficient monolithic Newton-multigrid solver. manifested...

In contrast with simple liquids such as water, milk, honey, which easily flow as a continuous jet when poured from a vessel, pasty materials such as mayonnaise, mustard, ketchup, puree, etc., fall by fits and starts in a wide range of flow rates. This may, for example, be observed when ketchup or mayonnaise is pushed from a tube at a sufficient height over a plate: although surface tension effe...

Analysis of large deformation of elastic-viscoplastic materials has been performed in this paper using the finite element method with the arbitrary Lagrangian-Eulerian description. An overstress type viscoplastic model using the internal variable approach in a rotated stress-strain space characterizes the material. Stable and efficient integration techniques for the viscoplastic relations are d...

In this paper we have developed a robust numerical algorithm for the visco-plastic SaintVenant model with topography. For the time discretization an implicit (backward) Euler scheme was used. To solve the resulting nonlinear equations, a four steps iterative algorithm was proposed. To handle the non-differentiability of the plastic terms an iterative decomposition-coordination formulation coupl...

We present an experimental study investigating the transition zone between a liquid-like unyielded region and a solid-like yielded region in a yield-stress fluid. The configuration consists of a rectangular closed-channel flow disturbed by the presence of a step. Upstream of the step, a solid-liquid interface between a dead zone and a flow zone appears. In this study, we use a model fluid, name...

This paper makes use of homogenization to generate a fairly general class rheological models for non-colloidal suspensions particles undergoing finite deformations and rotations under Stokes flow conditions. The can be nonlinear viscoelastic, or elasto-viscoplastic, while the suspending fluid Newtonian viscoplastic. microstructure is described by two microstructural ellipsoids, which are allowe...

Electronic power modules devices are paramount components in the aeronautical, automotive and military applications. The solder layers are the most critical parts of the module and are usually subjected in their whole life to complex loading conditions. To improve the design task, realistic thermoelastoviscoplastic and lifetime prediction models which can describe efficiently the deformation-da...