Multiscaling in Molecular and Continuum Mechanics: Interaction of Time and Size from Macro to Nano: Application to biology, physics, material science, mechanics, structural and processing engineering - Hardcover

Hardcover

ISBN 10: 1402050615 ISBN 13: 9781402050619

Publisher: Springer, 2006

Synopsis

This volume on multiscaling has been motivated by the advancement of nano-technology in the past four decades. In particular, nano-electronics has paved the way to show that the behavior of nano-size bodies are not only different from macro-size bodies but they do not obey the same physical laws. There appears to be a mesoscopic region which separates the laws of quantum physics and continuum mechanics. A gap has been left in the full range of scaling from macro to nano. Micro-manipulation can be made more effective if the atomic and molecular scale activities can be identified more precisely with the use specific objectives. In this respect, material science has already benefited by positioning and structuring of nanometer-scale particles to arrive at the desired macroscopic material properties. The idea has been implemented to tailor-make structural materials for the Boeing 787 to better accommodate non-uniform stress and strain at different locations of the aircraft. Explored are also the possibility of coaxing DNA-based organisms such as viruses to improve performance of batteries, solar cells, fabrics, paints and other kinds of materials. The potential of assembling bio-molecules to build electronic components is also in the planning. The manipulation of molecules and atoms has been regarded as a common base for both material and life science. Quantum and continuum mechanics are being applied side by side for exploring the behavior of small and large objects moving at fast and slow speed.

About this title

Synopsis

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 modeled 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.

Edition details

• Publisher: Springer
• Publication date: 2006
• Language: English
• ISBN 10: 1402050615
• ISBN 13: 9781402050619
• Binding: Hardcover
• Number of pages: 478
• Editor: Sih G.C.