Numerical Simulation of Squeezed Flow of a Viscoplastic Material by a Three-step Smoothed Particle Hydrodynamics Method

In the current work, the mesh free smoothed particle hydrodynamics (sph) method, was employed to numerically investigate the transient flow of a viscoplastic material. using this method, large deformation of the sample and its free surface boundary were captured without the cumbersome process of the grid generation. this three-step sph scheme employs an explicit predictor-corrector technique and the incompressibility characteristic of the material was guaranteed by solving a pressure poisson equation. the papanastasiou constitutive model was also utilized in the simulations to study the compression of the sample under both constant load and constant velocity conditions. the no-slip boundary condition was satisfied by projecting the velocity of the viscoplastic material on the wall particles. in order to validate the fidelity of this numerical method during the compression of the samples, the resultant load at constant velocity as well as the height change of the sample for a constant load were computed and compared with other published results. the results indicated that this method could be employed as a reliable technique to simulate such highly deformable viscoplastic deformation of the materials.