The Mechanics and Mathematics of Bodies Described by Implicit Constitutive Equations
Prof. Rajagopal (Department of Mechanical Engineering, Texas A&M University)
After discussing the need for implicit constitutive relations to describe the response of both solids and fluids, I will discuss applications wherein such implicit constitutive relations can be gainfully exploited. It will be shown thatsuch implicit relations can explain phenomena that have hitherto defied adequate explanation such as fracture and the movement of cracks in solids, the response of biological matter, and provide a new way to look at numerous non-linear phenomena exhibited by fluids. They provide a totally new and innovative way
to look at the problem of Turbulence. It also turns out that classical Cauchy and Green elasticity are a small subset of the more general theory of elastic bodies defined by implicit constitutive equations.
Date: Friday, 13th July 2015, 2 p.m.
Location: Meeting room PCCL, Roseggerstrasse 12, 8700 Leoben (3rd level)