Rigid bodies in fluids/Coulomb friction in elastic and viscoelastic bodies

• Grant number: 11/03215-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: June 27, 2011
• End date: July 13, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: José Alberto Cuminato
• Grantee: José Alberto Cuminato
• Visiting researcher: David Edward Stewart
• Visiting researcher institution: University of Iowa, United States
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Two problems are proposed. The first is to investigate what happens when a pair of rigid bodies collide in a fluid. The central question is whether there are impulsive forces, or if the forces of the fluid on the colliding bodies is sufficient to prevent this. Asymptotic analysis should facilitate the development of numerical methods for these situations. The second problem is to investigate numerical methods for handling Coulomb frictional contact between elastic and viscoelastic bodies. Simulations with suitable methods can provide information about frictional instabilities in these problems. (AU)