Augmented MPM for phase-change and varied materials

Abstract

Figure 1: Lava solidifying into pāhoehoe forms complex and attractive shapes. The lava emits light according to the blackbody spectrum corresponding to the simulated temperature. c Disney. AbstractIn this paper, we introduce a novel material point method for heat transport, melting and solidifying materials. This brings a wider range of material behaviors into reach of the already versatile material point method. This is in contrast to best-of-breed fluid, solid or rigid body solvers that are difficult to adapt to a wide range of materials. Extending the material point method requires several contributions. We introduce a dilational/deviatoric splitting of the constitutive model and show that an implicit treatment of the Eulerian evolution of the dilational part can be used to simulate arbitrarily incompressible materials. Furthermore, we show that this treatment reduces to a parabolic equation for moderate compressibility and an elliptic, Chorin-style projection at the incompressible limit. Since projections are naturally done on marker and cell (MAC) grids, we devise a staggered grid MPM method. Lastly, to generate varying material parameters, we adapt a heat-equation solver to a material point framework.

Interactive wood combustion for botanical tree models

“…Hong et al [2010] propose a method to model fires under general geometric constraints that even allows to burn plant models. Finally, Stomakhin et al [2014] introduce a point-based technique for melting and solidifying materials through simulating heat transfer. Their method allows to capture the thermodynamic properties in different materials and to alter their mechanical properties, however, it does not support interactive modeling and heat diffusion in real-time.…”

Animation of crack propagation by means of an extended multi-body solver for the material point method

“…Ram et al (2015) and Yue et al (2015) modified their method to simulate viscoplastic materials like foam. Stomakhin et al (2014) added a heat solver to simulate phase change of materials. Klar et al (2016) and Daviet and Bertails-Descoubes (2016) used MPM together with a DruckerPrager plasticiy model to simulate sand and other granular materials.…”

MPM Based Simulation for Various Solid Deformation

“…Stomakin et al [12] used MPM for simulating snow, and introduced a novel MPM method for heat transport, melting and solidifying materials [13]. Jiang et al [7] tuned the model in [12] to simulate granular materials.…”