Multiscaling in Molecular and Continuum Mechanics - Scaling in Time and Size from
Macro to Nano
Organized
by
George C. Sih
a School of Mechanical Engineering, East China University of Science and Technology, Shanghai
200237, China
b Department of Mechanical Engineering and
Mechanics, Lehigh
University, Bethlehem PA 18015, USA
The symposium
will address how results from one scale can be shifted or related to another
scale, say from macro to micro or vice versa. This will be accomplished via a
meso zone such that the transition from one scale to the next are made smooth
via stress (or force) and displacement compatibility conditions. Multiscaling
is modeled much like a microscope such
that the magnification factor can be changed, except that this is done
analytically. The results of cross scaling 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.
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 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 very small. 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.
Papers
1. SPATIAL AND TEMPORAL SCALING AFFECTED BY
SYSTEM INHOMOGENEITY: ATOMIC, MICROSCOPIC AND MACROSCOPIC (INVITED)
G. C. Sih
2.
COUPLING AND COMMUNICATING BETWEEN ATOMISTIC AND CONTINUUM SIMULATION
METHODOLOGIES
J.A. Zimmerman1,
P.A. Klein1 AND E.B. Webb III2
1Sandia
National Laboratories, Livermore, CA 94551 USA
2Sandia
National Laboratories, Albuquerque, NM 87185, USA
3. TENSEGRITY ARCHITECTURE AND
THE MAMMALIAN CELL CYTOSKELETON
Dimitrije Stamenović* ,Ning Wang**and Donald E. Ingber***
*Department of
Biomedical Engineering, Boston University
**Physiology Program, School of Public Health, Harvard University, Cambridge, Mass. USA
***Vascular Biology Program,
Departments of Pathology and Surgery, Children's Hospital and Harvard Medical School, Boston, Massachusetts, USA
4. MULTI-SCALE FORMULATION FOR MODELING OF
MICROSTRUCTURE EVOLUTION AND LOCAL INSTABILITY IN POLYCRYSTALLINE MATERIALS
Jiun-Shyan Chen
and Shafigh Mehraeen
Department of
Civil and Environmental Engineering
University of California, Los Angeles, Los Angeles, CA 90095, USA
5. A HIPER-SURFACEFOR THE COMBINED RATE AND SIZE
EFFECTS ON THE MATERIAL PROPERTIES
Zhen Chen, Luming Shen and Yong Gan
Department of
Civil and Environmental Engineering
University of
Missouri-Columbia, Columbia, MO 65211-2200, USA
H. Eliot Fang
Computational Materials
& Molecular Sciences Department
Sandia
National Laboratories, Albuquerque, New Mexico 87185-1411, USA
6. MULTISCALE MODELING OF
THE SURFACTANT MEDIATED SYNTHESIS ON NANODOTS AND THEIR ARRAYS
N.P. Adhikari, X. Peng, S. K. Nayak and S.K. Kumar,
Rensselaer Polytechnic Institute, Troy, NY.USA
7.
MULTISCALE MECHANICAL OPTIMIZATION FOR DESIGN OF HIGH STRENGTH, HIGH TOUGHNESS
AUSTENITE-MARTENSITE ALLOYS
Su Hao* and
Gregory B. Olsen**
* Depertment of
Mechanical Engineering
** Department of
Material Science and Engineering
Northwestern
University, Evanston,
Illinois, USA
8.
GRAIN BOUNDARY EFFECTS ON FATIGUE DAMAGE AND MATERIAL PROPERTIES: MACRO- AND
MICRO- CONSIDERATIONS
Zhe-Feng Zhang
Shenyang National Laboratory for Materials Science,
Institute of Metal Research, Chinese Academy of Sciences,
72 Wenhua Road, 110016, Shenyang, China
E-mail: zhfzhang@imr.ac.cn,
Tel: 0086-24-23971021 (H), 0086-24-23971043 (O)
9. MULTISCALE MODELLIND OF VISCOUS AND VISCOELASTIC
FLOWS
R. K. Agarwal
Washington University in St. Louis, MO 63130, USA
10.
MULTISCALING EFFECTS IN TRIP STEELS
G.N.
Haidemenopoulos and N. Aravas
Department of
Mechanical & Industrial Engineering
University of Thessaly, Volos, Greece
11. CONTINUUM-BASED AND CLUSTER MODELS FOR
NANOMATERIALS
Dong Qian and
Rohit H. Gondhalekar
Department of
Mechanical, Industrial and Nuclear Engineering
University of Cincinnati, Cincinnati, OH 45221-0072, USA
12. MACRO-, MESO- AND MICRO-DAMAGE MODEL BASED ON
SINGULARITY REPRESENTATION FOR ANTI-PLANE DEFORMATION
G. C. Sih a,b ,
X. S. Tanga, c
a School of Mechanical Engineering, East China University of Science and
Technology, Shanghai 200237, China
b Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA
c School of Bridge and Structure Engineering, Changsha University of
Science and Technology, Changsha, Hunan 410076, China
13.
DISCRETE-TO CONTINUUM MULTISCALE BRIDGING APPROACHES
Jacob Fish
Departments of
Civil, Mechanical and Aerospace Engineering
Rensselaer
Polytechnic Institute, Troy, NY 12180, USA
14.
ANALYTICAL MULTI-SCALE APPROACH OF COMPLEX FLOWS IN CHEMICAL ENGINEERING
Wei Ge, Jinghai
Li
Institute of Process Engineering, Chinese Academy of Sciences,
P.O.Box 353, Beijing 100080, China
15.
MULTISCALE MECHANICS OF CARBON NANOTUBES AND THEIR COMPOSITES
Xi-Qiao Feng
Department of
Engineering Mechanics, Tsinghua University, Beijing 100084, China
16.
NONUNIFORMITY EFFECT OF SURFACE-NANOCRYSTALLINE MATERIALS IN NANOINDENTATION
TEST
Yueguang Wei
LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080 China
17.
A GENERALIZED PARTICLE DYNAMICS METHOD FOR ATOMIC/CONTINUUM SIMULATION OF
MATERIAL BEHAVIOR
J. Fan
School
of Engineering, Alfred University, New York, USA, 14802
Research Center of Materials Mechanics, Chongqing University, P.R. China, 400044
18. AN OVERVIEW OF NANOMECHANICS AND MULTI-SCALE SIMULATIONS
(INVITED)
Ken P. Chong
Director of
Mechanics and Materials, Directorate for Engineering
National Science
Foundation
4201 Wilson Blvd., Suite 545, Arlington, VA 22230, U.S.A.
19.
MULTI-SCALE AND MULTI-PHYSICS MODELING OF FLEXIBLE BIOLOGICAL SHELL-LIKE
STRUCTURES IN AQUEOUS ENVIRONMENT
X. Sheldon Wang
Othmer Institute,
Polytechnic University
Brooklyn,
NY 11201, USA