Smoothed particle hydrodynamics (SPH) method for the flow analyses of mixture of fluid and solid phase is presented and is applied to the semi-solid forming problems of functionally graded materials (FGMs). A weak coupling strategy between the fluid and the solid phases is adopted. It is consisting of fluid analysis (trial) and correction steps. In the fluid analysis step, simplified marker and cell (SMAC) algorithm is adopted, since it is assumed to be incompressible in present investigation. The solid phase particles are assumed to be rigid and the correction step brings their shapes back to their original ones. The algorithm is so simple that it allows us to have a large number of solid phase particles to be embedded in the fluid phase. The results of verification problem analyses and those for the semi-solid forming of FGMs are presented.
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