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This paper presents a new formalism for simulating highly deformable bodies with a particle system. Smoothed particles represent sample points that enable the approximation of the values and derivatives of local physical quantities inside a medium. They ensure valid and stable simulation of state equations that describe the physical behavior of the material. We extend the initial formalism, first introduced for simulating cosmological fluids, to the animation of inelastic bodies with a widedoi:10.1007/978-3-7091-7486-9_5 fatcat:qqpmu4ytnvgyjfzdobfgkguggu