Kumbakonam R. Rajagopal

TL;DR: In this article, the behavior of materials made up of a large assemblage of solid particles under rapid and quasi-static deformations is reviewed and a phenomenological approach that describes rapid flows of granular materials under simultaneous transport of heat is presented.

TL;DR: In this paper, the authors consider generalizations of fluid models wherein the fluid is assumed to be incompressible, but with the viscosity depending on the pressure, and show that a natural setting for the development of such models is a class of implicit constitutive relations, which, in addition to the fluid model described here, provides a means for developing other complex models for viscoelastic fluids which cannot be set within the ambit of classical explicit constitutive relation for the stress in terms of the histories of appropriate kinematical variables.

TL;DR: It is shown by means of an example that even yield–type phenomena can be accommodated within this framework, while they cannot within the framework of Onsager, and issues concerning constraints, especially in thermoelasticity, are discussed.

TL;DR: A new approach for mathematically modeling arterial adaptations and, in particular, flow-induced alterations is presented, based on a locally homogenized, constrained mixture theory that develops a 3-D constitutive relation for stress in terms of the responses of the three primary load-bearing constituents and their time-varying mass fractions.