Zirconia $({\text{ZrO}}_{2})$ is a most important substance in materials science and technology due to its wide-ranging applications. Accordingly, there have been several investigations of observed crystalline polymorphs. However, systematic analysis the elastic properties ${\text{ZrO}}_{2}$ structures still lacking. In this paper structural experimentally confirmed phases zirconia are studied with density-functional theory. Comparisons drawn among various methods computing parameters as...

Several lines of evidence indicate the existence genetic factors influencing male homosexuality and bisexuality. In spite its relatively low frequency, stable permanence in all human populations this apparently detrimental trait constitutes a puzzling 'Darwinian paradox'. Furthermore, several studies have pointed out relevant asymmetries distribution both female fecundity parental homosexual vs. heterosexual males. A number hypotheses attempted to give an evolutionary explanation for...

Abstract We study the mechanics of temperature-driven reconstructive martensitic transformations in crystalline materials, within framework nonlinear elasticity theory. focus on prototypical case square-hexagonal transition 2D crystals, using a modular Ericksen-Landau-type strain energy whose infinite and discrete invariance group originates from full symmetry underlying lattice. In simulation quasi-static thermally-driven transitions we confirm role valley-floor network establishing...

The bridge between the molecular descriptions of crystalline configurations and continuum theories crystal mechanics such as linear nonlinear elasticity is given by a natural hypothesis that goes back to Cauchy Born, referred `Born rule'. This paper reports on an extensive investigation validity Born rule possibility applying describe behavior solids. done studying phenomenon mechanical twinning its implications for invariance group energy density crystal. analysis leads conclusion that, in...

We propose a spin model with quenched disorder which exhibits in slow driving two drastically different types of critical nonequilibrium steady states. One them corresponds to classical criticality requiring fine-tuning the disorder. The other is self-organized insensitive crossover between determined by mode driving. As one moves from ``soft'' ``hard'' universality class point changes order-disorder Edwards-Wilkinson class. viewed as prototypical for broad physical phenomena ranging...

We study experimentally the intermittent progress of mechanically induced martensitic transformation in a Cu-Al-Be single crystal through full-field measurement technique: grid method. utilize an in- house, specially designed gravity-based device, wherein system controlled by water pumps applies perfectly monotonic uniaxial load very small force increments. The sample exhibits hysteretic superelastic behavior during forward and reverse cubic-monoclinic transformation, produced evolution...

We show that nonlinear continuum elasticity can be effective in modeling plastic flows crystals if it is viewed as a Landau theory with an infinite number of equivalent energy wells whose configuration dictated by the symmetry group GL(2,Z). Quasistatic loading then handled athermal dynamics, while lattice-based discretization play role regularization. As proof principle, we study dislocation nucleation homogeneously sheared 2D crystal and global tensorial invariance elastic foments...

We propose an explanation for the self-organization towards criticality observed in martensites during cyclic process known as ``training.'' The scale-free behavior originates from interplay between reversible phase transformation and concurrent activity of lattice defects. basis model is a continuous dynamical system on rugged energy landscape, which quasistatic limit reduces to sandpile automaton. reproduce all principal observations thermally driven martensites, including power-law...

The structural parameters and phonon spectra of the five known polymorphs zirconia are computed for pressures up to 48 GPa with density-functional perturbation theory within both local-density generalized gradient approximations. Thermoelastic properties in quasiharmonic approximation, including Gr\"uneisen mode (Part I), dielectric properties, lattice contribution Raman II) derived from calculations compared results experiments previous computations.

The structural parameters and phonon spectra of the five known polymorphs zirconia are computed for pressures up to 48 GPa with density-functional perturbation theory within both local-density generalized-gradient approximations. Thermoelastic properties in quasiharmonic approximation, including Gr\"uneisen mode (Part I), dielectric properties, lattice contribution Raman II) derived from calculations compared results experiments previous computations.

A salient feature of cyclically driven first-order phase transformations in crystals is their scale-free avalanche dynamics. This behavior has been linked to the presence a classical critical point but mechanism leading criticality without extrinsic tuning remains unexplained. Here we show that source scaling such systems an annealed disorder associated with transformation-induced slip which co-evolves transformation, thus ensuring crossing manifold. Our conclusions are based on model where...

It is well known that the problem of classifying symmetry simple lattices leads to consideration conjugacy properties holohedral crystallographic point groups (`holohedries'). Classical results for three-dimensional case then state that: (i) orthogonal classification holohedries subdivides into familiar seven crystal systems (this gives `geometric symmetry' lattices); (ii) stricter arithmetic fourteen Bravais lattice types `arithmetic lattices, which more refined than geometric one). There...