Ebook: 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
- Tags: Structural Mechanics
- Year: 2007
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
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.
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. 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.
Multiscaling is modeled much like a microscope, 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 has not been well known up to now.
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 much discussion has been given to this subject, little progress has been made. 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 a level which most engineers can grasp within a short period of time.
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. 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.
Multiscaling is modeled much like a microscope, 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 has not been well known up to now.
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 much discussion has been given to this subject, little progress has been made. 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 a level which most engineers can grasp within a short period of time.
Content:
Front Matter....Pages i-xviii
“Deborah numbers”, coupling multiple space and time scales and governing damage evolution to failure....Pages 1-10
A multi-scale formulation for modeling of wrinkling formation in polycrystalline materials....Pages 11-21
A multiscale field theory: Nano/micro materials....Pages 23-65
Combined loading rate and specimen size effects on the material properties....Pages 67-84
Discrete-to-continuum scale bridging....Pages 85-102
Micromechanics and multiscale mechanics of carbon nanotubes-reinforced composites....Pages 103-139
Multi-scale analytical methods for complex flows in process engineering: Retrospect and prospect....Pages 141-160
Multiscaling effects in low alloy TRIP steels....Pages 161-178
Ductile Cr-Alloys with solute and precipitate softening....Pages 179-196
A multi-scale approach to crack growth....Pages 197-240
Continuum-based and cluster models for nanomaterials....Pages 241-257
Segmented multiscale approach by microscoping and telescoping in material science....Pages 259-289
Mode I segmented crack model: Macro/symmetry, micro/ anti-symmetry and dislocation/skew-symmetry....Pages 291-319
Tensegrity architecture and the mammalian cell cytoskeleton....Pages 321-338
Mode II segmented crack model: Macro/skew-symmetry micro/anti-symmetry and dislocation/skew-symmetry....Pages 339-367
Microstructure and microhardness in surface-nanocrystalline Al-alloy material....Pages 369-387
Grain boundary effects on fatigue damage and material properties: Macro- and micro-considerations....Pages 389-438
Coupling and communicating between atomistic and continuum simulation methodologies....Pages 439-455
Back Matter....Pages 457-460
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. 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.
Multiscaling is modeled much like a microscope, 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 has not been well known up to now.
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 much discussion has been given to this subject, little progress has been made. 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 a level which most engineers can grasp within a short period of time.
Content:
Front Matter....Pages i-xviii
“Deborah numbers”, coupling multiple space and time scales and governing damage evolution to failure....Pages 1-10
A multi-scale formulation for modeling of wrinkling formation in polycrystalline materials....Pages 11-21
A multiscale field theory: Nano/micro materials....Pages 23-65
Combined loading rate and specimen size effects on the material properties....Pages 67-84
Discrete-to-continuum scale bridging....Pages 85-102
Micromechanics and multiscale mechanics of carbon nanotubes-reinforced composites....Pages 103-139
Multi-scale analytical methods for complex flows in process engineering: Retrospect and prospect....Pages 141-160
Multiscaling effects in low alloy TRIP steels....Pages 161-178
Ductile Cr-Alloys with solute and precipitate softening....Pages 179-196
A multi-scale approach to crack growth....Pages 197-240
Continuum-based and cluster models for nanomaterials....Pages 241-257
Segmented multiscale approach by microscoping and telescoping in material science....Pages 259-289
Mode I segmented crack model: Macro/symmetry, micro/ anti-symmetry and dislocation/skew-symmetry....Pages 291-319
Tensegrity architecture and the mammalian cell cytoskeleton....Pages 321-338
Mode II segmented crack model: Macro/skew-symmetry micro/anti-symmetry and dislocation/skew-symmetry....Pages 339-367
Microstructure and microhardness in surface-nanocrystalline Al-alloy material....Pages 369-387
Grain boundary effects on fatigue damage and material properties: Macro- and micro-considerations....Pages 389-438
Coupling and communicating between atomistic and continuum simulation methodologies....Pages 439-455
Back Matter....Pages 457-460
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