Kumbakonam R. Rajagopal

TL;DR: In this article, the effect of temperature, moisture, and electromagnetic fields on the internal clock of a viscoelastic body has been studied, and the constitutive relation that is developed, and more importantly the methodology that is being put into place, can be used to describe a variety of problems in polymer mechanics and biomechanics and not limited to the special example that is considered.

TL;DR: In this article, a boundary layer approximation for nonlinearly elastic solids is advocated, with the full nonlinear equations assumed to hold in a narrow region adjacent to a boundary, whereas in the rest of the domain the equations of linearized elasticity are supposed to hold.

TL;DR: In this paper , the effects of the material moduli, the angle between the plane walls, and the inertial term on the velocity of the Jeffery-Hamel flow were analyzed.

TL;DR: A rigorous upper bound on the error is derived, and what factors influence the error bound and the actual error itself are discussed, and the derived error estimate is used as a tool for choosing the appropriate marker set that leads to the deformation gradient estimate with the least guaranteed error.

TL;DR: In this article, the authors study the Rayleigh-Benard convection in a porous medium and show that the static conduction solution is linearly stable if and only if the RBN is less than or equal to a critical Rayleigh number.