Kumbakonam R. Rajagopal

TL;DR: In this paper, a model to describe the inelastic response of bodies that exhibit non-linear response even in the small strain regime was developed, exploiting the discontinuity of the functions that appear in the constitutive relations.

TL;DR: In this article, the authors derive a novel and rigorous correction to the classical Reynolds lubrication approximation for fluids with viscosity depending upon the pressure, which leads to higher pressure and viscosities in the flow domain.

TL;DR: In this article, a proper justification can be provided for such models within the context of the new class of constitutive relations that have been developed to describe the response of elastic bodies by Rajagopal [19], and these models can be generalized to also describe the inelastic response in the small strain regime.

TL;DR: In this paper, the mass flux due to diffusion associated with the components of the mixture but permitting the possibility of mass conversion of the phases is considered, and it is shown that the reaction (source) term in the mass balance equation leads to the Laplace operator that appears in the Allen-Cahn model and that this term is not related to a diffusive process.

TL;DR: In this article, Malek, V. Průsa, K.R. Rajagopal, and K.S. Kannan consider the flow of a class of incompressible fluids which are constitutively defined by the symmetric part of the velocity gradient being a function, which can be non-monotone, of the stress tensor.