Under stress, the microcracks in rock evolve (initiation, growth and coalescence) from damage to fracture with a continuous process. In order to describe this continuous process, a damage-softening statistical constitutive model for rock was proposed based on the Weibull distribution of mesoscopic element strength. This model usually adopts the Drucker–Prager criterion as its distribution param...

Two decades ago, Gribov pointed out a possible mechanism of colour confinement in Coulomb gauge or Landau gauge QCD via infrared divergence of the Faddeev-Popov ghost propagator. At nearly the same time, Kugo and Ojima proposed a criterion for the absence of coloured massless asymptoptic states in Landau gauge QCD using the BRST symmetry. We study the confinement signal in the gluon propagator,...

This paper presents a new formulation of a well known double hardening model often referred to as the Hardening Soil model. As an alternative to the existing Hardening Soil model’s Mohr-Coulomb failure surface, the new formulation allows for the incorporation of smooth failure surfaces, such as the failure surface proposed by Matsuoka & Nakai or that proposed by Lade & Duncan. Although the inco...

Abstract. Due to their microstructure, quasi brittle materials present rough cracks. Under sliding of the crack lips, this roughness involves in one hand induced opening and in the other hand some apparent plasticity which is due to the interlocking of the crack lips combined with Coulomb’s friction. The proposed model is written under the irreversible thermodynamics framework. Micromechanics u...

Braverman, Finkelberg and Nakajima have recently given a mathematical construction of the Coulomb branches for large class 3d N=4 gauge theories, as algebraic varieties with Poisson structure. They conjecture that these symplectic singularities. We confirm this all quiver theories without loops or multiple edges, which in particular implies corresponding finitely many leaves rational Gorenstein...

The plastic zone of the surrounding rock borehole is a high-quality channel for gas flow. Studying distribution form in boreholes and characteristics extended connection network essential optimal layout drainage boreholes. Considering pressure parameters based on modified Terzaghi effective stress principle Mohr–Coulomb strength criterion. implicit equation boundary derived. influence two-way c...

We develop a consistent theory of the interlayer exciton-polaron formed in atomically thin bilayers. Coulomb attraction between an electron and hole situated different layers results their flexural deformation provides efficient mechanism exciton coupling with phonons. study effect tension on polaron binding energy effective mass leading to suppression formation by both weak strong regimes. als...

2014 Radial matrix elements have been computed involving highly excited states of alkali atoms. An entirely analytical Coulomb method has been used. Particular attention has been paid in the choice of the cut criterion. The extensive data are available from the author upon request and can be used to compute, for example, oscillator strengths, radiative lifetimes, branching ratios and polarizabi...

Shear localization has been observed in liquid lubricants flowing at high pressure. Two kinds have been identified: for stresscontrolled plane Couette shear at high values of Nahme No., thermal runaway can result in the appearance of a band at midplane where the temperature and shear rate become localized. Alternatively, at high pressure and high shear stress, intermittent slip can be visualize...

We derive an arbitrary-gauge criterion under which condensed matter within electromagnetic field may transition to a photon phase. Previous results are recovered by selecting the Coulomb gauge wherein condensation can only occur for spatially varying and be interpreted as magnetic instability. demonstrate invariance of our description directly, but since photons gauge-relative concepts we find ...