Advances in Doublet Mechanics by Mauro Ferrari, Vladimir T. Granik, Ali Imam, Joseph C.

By Mauro Ferrari, Vladimir T. Granik, Ali Imam, Joseph C. Nadeau

The lately proposed, totally multi-scale thought of doublet mechanics, offered right here in a self-contained shape, bargains unprecented possibilities to reconcile the discrete and continuum representations of solids whereas preserving an easy analytical layout and entire compatibility with lattice dynamics and continuum mechanics. Its functions contain micro-electro-mechanical platforms (MEMS), granular and particulate media, nanotubes and peptide arrays. Novel effects are suggested, together with the id of a brand new type of dispersive floor waves, and the presentation of tools for the experimental choice of the basic microstructural parameters. The relationships among doublet mechanics, lattice dynamics, and continuum theories are tested.

Show description

Read Online or Download Advances in Doublet Mechanics PDF

Similar geophysics books

Earth's Dynamic Systems (10th Edition)

For Introductory classes in actual or Introductory Geology present in departments of Geology, Earth technology, or actual technology. considerably revised to be an optimal studying software, the 10th version of Earth's Dynamic platforms continues its stable insurance of the 2 significant power platforms of Earth: the plate tectonic process and the hydrologic cycle.

Geophysik II / Geophysics II

Forty five downwards simply because (j at the ordinary raises with peak; yet this end doesn't persist with from (18. three) whilst the dependency of Kc upon ~o is considered. s 2 ERTELl and PRIESTLEY and SWINBANK have proven that the upward eddy­ flux of good warmth has to be higher than indicated by way of (18.

The Tornado: Its Structure, Dynamics, Prediction, and Hazards

In regards to the ProductPublished by means of the yank Geophysical Union as a part of the Geophysical Monograph sequence. prior to now twenty years, striking advances were made within the knowing of the constitution and dynamics of tornadoes and twister storms. this information has ended in advancements in prediction power, strategies for factor and dissemination of warnings, and the perform of chance mitigation.

Seismic Stratigraphy

Each little wiggle has a which means all its personal. this is often our underlying religion, that information of seismic waveshapes can let us know the main points of the character of the earth. yet their voices are obscured by way of many irrelevancies. They communicate in a high-noise atmosphere, and we now have been capable of decipher just a small component.

Extra resources for Advances in Doublet Mechanics

Sample text

Treating chemical changes as a heat term is common in texts on nonequilibrium thermodynamics (DeGroot and Mazur 1962, Kirkaldy and Young 1987) and has the advantage that heat is easily measured since the energy change can be determined from the initial and terminal states of the system and the mechanical work can be determined independently from consideration of the laws of mechanics. The major disadvantage of treating chemical changes as a heat term stems from the loss of the usual association between heat and entropy.

Ferrari, V. T. Granik and A. 41 ) The superscript M gives the level of the approximation at which the macrostresses are represented by the microstresses. A brief digression is now undertaken in order to discuss the symmetry of the macroscopic stress tensor accounting for its scale dependence. Toward this objective a simplified system of equations is derived for the special case corresponding to the assumptions that Poi = 0, moi = 0 (doublet-level nonpolar medium) and toi depend only on X3. Furthermore, a simplified underlying microstructural geometry is assumed whereby T~i = 1 if a = i, T~i = 0 otherwise, and "10 = "1 > 0 for a = 1,2,3.

Generally, such treatments make use of different temperatures for each component. Controversies arise over which entropy inequality the components are required to satisfy and whether entropy inequalities that apply to the mixture as a whole can be validly applied to each component individually. Perhaps the most notable generalized continuum mechanical theory of mixtures is that due to Goodman and Cowin (1972) with later improvements by Passman (1977) and extension to reacting mixtures by Nunziato and Walsh (1980).

Download PDF sample

Rated 4.72 of 5 – based on 47 votes