Do you want to publish a course? Click here

On relationship between trigonal and cubic symmetry classes of an elasticity tensor

67   0   0.0 ( 0 )
 Added by Filip Piotr Adamus
 Publication date 2020
  fields Physics
and research's language is English




Ask ChatGPT about the research

In the literature, there is an ambiguity in defining the relationship between trigonal and cubic symmetry classes of an elasticity tensor. We discuss the issue by examining the eigensystems and symmetry groups of trigonal and cubic tensors. Additionally, we present numerical examples indicating that the sole verification of the eigenvalues can lead to confusion in the identification of the elastic symmetry.



rate research

Read More

53 - Christophe Fond 2019
The classical models of Hertz, Sneddon and Boussinesq provide solutions for problems of indentation of a semi-infinite elastic massif by a sphere, a sphere or a cone and a flat punch. Although these models have been widely tested, it appears that at small scales and for flexible materials, surface tension can contribute to considerably to the mechanical response to indentation. The scales are typically those of the less than one micron for an elastomer and less than one millimetre for a gel. The exploitation of certain experimental results of microscopy or nanoindentation remain approximate due to the absence of models incorporating the effect of surface tension.
We discuss several physical constraints imposed on elasticity parameters of a transversely isotropic (TI) tensor. There are three types of restrictions we investigate; a fundamental one of stability conditions, and two additional ones, commonly considered in seismology. The first commonly considered restriction comes from an assumption of a wave with a greater speed in the horizontal than vertical direction. The second constitute the assumption that quasi-P wave is faster than quasi-S waves. We show several numerical examples to examine how these restrictions affect a TI tensor with known values of certain elasticity constants that could be acquired from the vertical or horizontal measurements.
[Background] Refactoring has matured over the past twenty years to become part of a developers toolkit. However, many fundamental research questions still remain largely unexplored. [Aim] The goal of this paper is to investigate the highest and lowest quartile of refactoring-based data using two coupling metrics - the Coupling between Objects metric and the more recent Conceptual Coupling between Classes metric to answer this question. Can refactoring trends and patterns be identified based on the level of class coupling? [Method] In this paper, we analyze over six thousand refactoring operations drawn from releases of three open-source systems to address one such question. [Results] Results showed no meaningful difference in the types of refactoring applied across either lower or upper quartile of coupling for both metrics; refactorings usually associated with coupling removal were actually more numerous in the lower quartile in some cases. A lack of inheritance-related refactorings across all systems was also noted. [Conclusions] The emerging message (and a perplexing one) is that developers seem to be largely indifferent to classes with high coupling when it comes to refactoring types - they treat classes with relatively low coupling in almost the same way.
The imminent WHEN earthquake predictions are based on the correlation between geomagnetic quakes and the incoming minimum (or maximum) of tidal gravitational potential. The probability time window for the incoming earthquake is for the tidal minimum approximately one day and for the maximum- two days. The statistic evidence for reliability is based on of distributions of the time difference between occurred and predicted earthquakes for the period 2002- 2005 for Sofia region and 2004- 2005 for Skopje. The project for complex Balkan- Black Sea region NETWORK for earthquake prediction by using the reliable precursors will be proposed in near future. The Project is based on the temporary data acquisition system for preliminary archiving, testing, visualizing and analyzing of the data with aim to prepare regional daily risk estimation.
47 - Dimitri Kanevsky 2021
Let $k=mathbb{Q}_3(theta)$, $theta^3=1$ be a quadratic extension of 3-adic numbers. Let $V$ be a cubic surface defined over a field $k$ by the equation $T_0^3+T_1^3+T_2^3+theta T_0^3=0$ and let $V(k)$ be a set of rational points on $V$ defined over $k$. We show that a relation on $V(k)$ modulo a prime $(1-theta)^3$ (in a ring of integers of $k$) defines an admissible relation on a set of rational points of $V$ over $k$ and a commutative Moufang loop associated with classes of this admissible equivalence on $V(k)$ is non-associative. This answers a long standing problem that was formulated by Yu. I. Manin more than 50 years ago about existence of non-abelian quasi-groups associated with some cubic surface over some field.
comments
Fetching comments Fetching comments
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا