Michael Ortiz

TL;DR: A chemothermomechanical instability is analyzed in this regime, in which catalytic reaction kinetics interact with heat transfer and mechanical buckling to create oscillations.

TL;DR: Composite triangles consisting of four three-node triangles originally proposed by Camacho and Ortiz are studied and it is shown that the original element does not satisfy the Babuska–Brezzi condition nor pass the patch test.

TL;DR: In this paper, the authors present two examples of energy-dissipation functionals for which relaxations and optimal scalings can be rigorously derived and show that these relaxations rigorously characterize macroscopic properties of complex microstructural evolution by means of wellposed effective problems.

TL;DR: In this article, the authors formulated a continuum theory of DNA packaging based on a director field representation of the encapsidated DNA and showed that torsionless toroidal solenoids, consisting of planar coils contained within meridional planes and wrapped around a spool core, and fine mixtures of the solenoid and spool phase beat the inverse spool construction.

TL;DR: In this paper, the authors formulate a non-equilibrium statistical thermodynamics for ensembles of atoms or molecules, where neither temperature nor atomic fractions are required to be uniform but instead are allowed to take different values from particle to particle.