This paper presents introduce some new notions, f -asymptotically equivalent of multiple L, strong f -asymptotically equivalent of multiple L, and strong f -asymptotically lacunary equivalent of multiple L which is a natural combination of the definition for asymptotically equivalent, Statistically limit, Lacunary sequence, and Modulus function. We study some connections between the asymptotica...

Most salt rock has interbed of mudstone in China. Owing to the enormous difference of mechanical properties between the mudstone interbed and salt rock, the stress-strain and creep behaviors of salt rock are significantly influenced by neighboring mudstone interbed. In order to identify the rules of wellbore shrinkage and casings equivalent stress in bedded salt rock stratum, three-dimensional ...

Carbon nanotubes (CNTs) possess excellent mechanical properties, such as high stiffness, strength, resilience etc., and may become an ideal reinforcing material for the development of nanocomposites. In this paper, we establish a finite element model of the volume representative element (RVE) for CNT-reinforcing composites and evaluate their mechanical properties based on the Equivalent Homogen...

An upper bound q(c) for the best, under equivalent renorming, possible power type of the modulus of smoothness of a Banach space with modulus of convexity satisfying δX(ε) cε2, is found. The estimate is asymptotically sharp and is expressed in terms of linear fractional function q(c). © 2006 Elsevier Inc. All rights reserved.

We have studied vibration characteristics of the main tower and the sub-towers in the Bayon temple since 2003 and have found that the continuum equivalent Young’s modulus for these tower-like dry-masonry structures is 1/10 to 1/20 of the typical value for the constituent rock blocks. In 2006, we measured microtremors at the Northern Library and the Southern Library in the Bayon temple. They are...

PURPOSE The aim of this work is to develop a 3D finite elements model to study the nanomechanical behavior of mineralized collagen microfibrils, which consists of three phases, (i) collagen phase formed by five tropocollagen (TC) molecules linked together with cross-links, (ii) a mineral phase (Hydroxyapatite), and (iii) impure mineral phase, and to investigate the important role of individual ...

We show that the Lorentz shear modulus of macroscopically homogeneous electronic states in the lowest Landau level is proportional to the bulk modulus of an equivalent system of interacting classical particles in the thermodynamic limit. Making use of this correspondence, we calculate the Lorentz shear modulus of Laughlin's fractional quantum Hall states at filling factor ν = 1/m (m an odd inte...

Elastography based on strain imaging currently endures mechanical artefacts and limited contrast transfer efficiency. Solving the inverse elasticity problem (IEP) should obviate these difficulties; however, this approach to elastography is often fraught with problems because of the ill-posed nature of the IEP. The aim of the present study was to determine how the quality of modulus elastograms ...