Dr. Joseph Teran, Professor in the Mathematics Department, UCLA
Hyperelastic constitutive models describe a wide range of materials. Examples include biomechanical soft tissues like muscle, tendon, skin etc. Elastoplastic materials consisting of a hyperelastic constitutive model combined with a notion of stress constraint (or feasible stress region) describe an even wider range of materials. A very interesting class of these models arise from frictional contact considerations. I will discuss some recent results and examples in computer graphics. Examples include simulation of granular materials like snow in Walt Disney's ``Frozen" as well as frictional contact between thin elastic membranes and shells for virtual clothing simulation. I will also discuss practical simulation of these materials with some recent algorithmic modifications to the Particle-In-Cell (PIC) technique, the Material Point Method (MPM).
Joseph Teran is a professor of applied mathematics at UCLA. His research is focused on numerical methods for partial differential equations arising in classical physics. This includes computational solids, computational fluids, multi-material interactions, fracture dynamics and computational biomechanics. Exciting applications of his work arise in virtual surgery and movie special effects with Walt Disney Animation. Professor Teran is a Fellow of the American Mathematical Society. He was a recipient of a 2011 Presidential Early Career Award for Scientists and Engineers (PECASE) and a 2010 Young Investigator award from the Office of Naval Research. In 2008, Discover Magazine named him one of the 50 “Best Brains in Science”.
Vamsi Spandan Arza