LAUSR

Abstract This numerical study investigates the creeping flow of an elasto-viscoplastic fluid around a plate perpendicular to the flow direction. The analysis is performed with the Finite Element Method with Lagrangian Integration Points (FEMLIP). This numerical method is able to simulate large deformations problems and to describe yielded and unyielded regions by precisely accounting for elastic stresses. An elasto-viscoplastic model coupling the Bingham and the Maxwell constitutive equations is used. The influences of plasticity and elasticity on kinematic and stress fields are discussed. The influence of elasticity on the fore-aft asymmetry of the flow morphology is shown and quantified. The size and shape of the yielded and unyielded regions around the obstacle are also quantified. Finally, far and local stress fields as well as the drag coefficient are quantified as a function of the plastic and elastic contributions.