Nonlinear Deformable Bodies with Unilateral Contact including Friction

FERNANDO S. BUEZAS; MARTA B. ROSALES; CARLOS P. FILIPICH

Congreso; 20th International Congress of Mechanical Engineering; 2009

The study of the interaction between two deformable bodies that collide is of great interest since desired effects as a stable contact or undesired ones, as the failure of a mechanical part, can be predicted. In this work, a Signorini type contact model with impact considering large rotations and deformations is addressed. Both the static and dynamic Coulomb friction (dry friction) at the contact region are considered. The problem is stated using the Continuum Mechanics formulation in two and three dimensions with the Lagrangian description employing the two Piola-Kirchhoff stress tensors with linear or non-linear constitutive equations. The governing equations are solved through a general purpose software oriented to solve partial differential equations by using a finite element discretization. The impact of a deformable body on a rigid boundary or on other deformable body are tackled. Also a three-dimensional problem is addressed (e.g. a spheric ball impacting over a rigid surface). Numerical illustrations include parametric studies on the energy, the impulse forces and the time of contact for different initial conditions and materials. Finally a comparison among the models is showed.