Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Titre(s) : Multiscaling in molecular and continuum mechanics [Texte électronique] : interaction of time and size from macro to nano : application to biology, physics, material science, mechanics, structural and processing engineering / edited by G.C. Sih
Publication : Dordrecht : Springer, cop. 2007
Description matérielle : 1 online resource (xvi, 460 pages)
Note(s) : Print version record.. - Includes bibliographical references and indexes
The recent trend of miniaturization of devices and mechanics components has demanded
a better understanding of how macroscopic data are related to those at the microscopic
scale or smaller. The concept of multiscaling is to handle inhomogeneity that arises
when material is viewed microscopically. A scale invariant concept that can quantify
the degree of inhomogeneity is applied to overcome the difficulty such that the methodology
can be kept at a level that the practicing engineer can grasp and use. The model works
much like a microscope that can magnify the results from the atomic to the micro,
then to the meso and to the macro in an analytical fashion. This provides a means
for translating the experience in designing macroscopic size components to those at
the lower scales. For the first time, a book is being edited to address how results
from one scale can be shifted or related to another scale, say from macro to micro
or vice versa. This is accomplished via a meso zone such that the transition from
one scale to the next is made smooth by application of the stress and displacement
compatibility conditions. Multiscaling is modelled much like a microscope such that
the magnification ratio can be changed, except that this is done analytically. The
results crossing scales are interactive and shown to be governed by highly non-linear
equations in continuum mechanics. This is a new topic that is not well known up to
now. The closest field to this topic is Mesomechanics which is also a relatively new
field in order to meet the demand of how to treat devices in microns and coatings
in nanometers. The disciplines in classical mechanics and physics rarely consider
relating the results at the different scales such as macro to micro or to atomic.
Although many discussions have been alluded to this subject, little progress has been
made because of the non-equilibrium nature of the problem when size is made much smaller.
The new approach retains the use of the equilibrium mechanics within a scale level
such that cross scale results can be connected by scale invariant criteria. In this
way the level of presentation can be kept at the level where most engineers can grasp
within a short period of time. Engineers in different disciplines should be able to
understand and use the results. They include those in physics, chemistry, mechanics,
biology, materials science, etc. The topics treated will be of an interdisciplinary
character
Autre(s) auteur(s) : Aliprantis, Charalambos D. (1946-2009)
Sih, George C.. Fonction indéterminée
Sujet(s) : Informatique
Microtechniques
Indice(s) Dewey :
620.5 (23e éd.) = Nanotechnologie ; 004.015 1 (23e éd.) = Informatique - Principes mathématiques
Identifiants, prix et caractéristiques : ISBN 9781402050084 . - ISBN 9781402050626
Identifiant de la notice : ark:/12148/cb44725426n
Notice n° :
FRBNF44725426
(notice reprise d'un réservoir extérieur)
Table des matières : "Deborah numbers", coupling multiple space and time scales and governing damage evolution
to failure /Y. L. Bai, H. Y. Wang, M. F. Xia and F. J. Ke ; A multi-scale formulation
for modeling of wrinkling formation in polycrystalline materials /J. S. Chen and S.
Mehraeen ; A multiscale field theory : nano/micro materials /Y. P. Chen, J. D. Lee,
Y. J. Lei and L. M. Xiong ; Combined loading rate and specimen size effects on the
material properties /Z. Chen, Y. Gan and L. M. Shen ; Discrete-to-continuum scale
bridging /J. Fish ; Micromechanics and multiscale mechanics of carbon nanotubes-reinforced
composites /X. Q. Feng, D. L. Shi, Y. G. Huang and K. C. Hwang ; Multi-scale analytical
methods for complex flows in process engineering : retrospect and prospect /W. Ge,
F. G. Chen, G. Z. Zhou and J. G. Li ; Multiscaling effects in low alloy TRIP steels
/G. N. Haidemenopoulos, A. I. Katsamas and N. Aravas ; Ductile Cr-alloys with solute
and precipitate softening /S. Hao and J. Weertman ; A multi-scale
