Explosion simulation for viscoelastic objects

Abstract

In particle-based fluid simulations, viscoelastic materials, which exist in intermediate forms between fluids and perfect elastic bodies, require yield stress for material deformation. Existing studies on particle-based viscoelastic materials can represent the deformation of viscoelastic materials using the von Mises yield criterion, but not the explosion. In this study, we propose an ideal viscoelastic material yield criterion developed by modifying the Tresca yield criterion that can be easily approximated using the difference between the maximum principal stress and the minimum principal stress. This is different from the von Mises yield criterion in which the forces in numerous directions applied to an object are calculated. Unlike existing particle-based simulations that represent forces applied to an object as deformed lengths in order to easily approximate the von Mises yield criterion, the proposed ideal viscoelastic material yield criterion assumes the area of the object deformed owing to the forces applied to it as the principal stress. The moment at which the object is subjected to the largest force is approximated as the maximum principal stress, and the moment at which the object is subjected to the smallest force is approximated as the minimum principal stress. Using this method, we can realistically represent the process through which a viscoelastic material explodes because it cannot endure the critical stress when its interface decreases beyond the ideal yield criterion.