in this paper, the mean value of strain energy density criterion has been used to predict the critical fracture load in specimens with u-shaped notch under bending loads. an equation for calculation of averaged strain energy density in this zone has been presented. bending loads under mode i have been considered. two cases have been studied: 1) the control volume only includes the semicircular ...

Abstract Estimation of the radius maximum wind (RMW) tropical cyclone (TC) is helpful for disaster prevention and mitigation. If RMWs are estimated from infrared (IR) imagery taken by geostationary meteorological satellites, their estimation available densely in time, regardless ocean basin. Kossin et al. showed that when TCs have clear eyes, eye radii IR images a high correlation with RMW airc...

it is known that the directed cycle of order $n$ uniquely achieves the minimum spectral radius among all strongly connected digraphs of order $nge 3$. in this paper, among others, we determine the digraphs which achieve the second, the third and the fourth minimum spectral radii respectively among strongly connected digraphs of order $nge 4$.

We give a direct construction of the conformally invariant measure on self-avoiding loops in Riemann surfaces (Werner measure) from chordal SLE8/3. We give a new proof of uniqueness of the measure and use Schramm’s formula to construct a measure on boundary bubbles encircling an interior point. After establishing covariance properties for this bubble measure, we apply these properties to obtain...

The rate of CO(2) uptake by the mesophyll is examined as a function of the size of the substomatal chamber. Using the techniques of classical electric circuit analysis and a model in which the uptake is linear in the ambient CO(2) concentration, it is shown that the optimal chamber radius is several times larger than is the pore radius. This is somewhat larger than necessary for the reduction o...

We investigate the stability of self-propelled particle flocks in the Taylor-Green vortex, a steady vortical flow. We consider a model in which particles align themselves to a combination of the orientation and the acceleration of particles within a critical radius. We identify two distinct regimes: If alignment with orientation is dominant, the particles tend to be expelled from regions of hig...

Let [Formula: see text] be nonnegative matrices. In this paper, some upper bounds for the spectral radius [Formula: see text] are proposed. These bounds generalize some existing results, and comparisons between these bounds are also considered.

Simple upper bounds for the spectral radius of an H-matrix and a block H-matrix are presented. They represent an improvement over the bounds in [T.Z. Huang, R.S. Ran, A simple estimation for the spectral radius of (block) H-matrices, Journal of Computational Applied Mathematics, 177 (2005), pp. 455–459].

Let C(r) = [Cij ], r = 1, 2, . . . , R, be block m×m matrices where Cij (r) are nonnegative Ni ×Nj matrices for i, j = 1, 2, . . . , m. Let ‖ · ‖ be a consistent matrix norm. Denote for each r by B(r) = [‖Cij (r)‖] an m×m matrix. The relation of the spectral radii ρ( ∏R r=1 C(r)) and ρ( ∏R r=1 B(r)) is studied in this paper. It is shown with two proofs that ρ   R ∏ r=1 C(r)   ρ   R ∏ r=1 ...