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The 48th SNP Meeting

ADVANCES IN FUNDAMENTAL AND APPLIED MECHANICS:
A BRIDGE BETWEEN THE PHYSICAL BEHAVIOR AND
THE MATHEMATICAL MODELING OF MATERIALS

 

0. Meeting Announcement and Call For Papers: Click here.

1. Background

The aims of the Society for Natural Philosophy (SNP) were first stated at its founding in 1963, some 46 years ago:

The Society for Natural Philosophy aims to promote communication across professional
lines, to neutralize blind specialization, and to recognize and foster quality in scientific research. It offers common ground for those seeking unity of foundations through the results of specific researches, mathematical or experimental. Its method of operation is to organize meetings on specific topics of interest to some mathematicians, physicists, chemists and engineers
.

Since the aims of the PACAM series mesh well with those of the SNP, it was recognized from both parties, PACAM XI organizers and SNP, that PACAM XI would be an excellent and unique opportunity for the Society for Natural Philosophy to bring engineers, physicists, and applied mathematicians together and to provide a modern focus to the aims and goals of research in the bridge between the physical and the mathematical sides of the mechanics of materials. Primarily, the bridge that the title of this proposed SNP meeting alludes to should serve to engage ideas and discussion concerning various length and time scales from atomistic to continuum. The welding of Applied Mechanics together with the edges of advancement in the physical and mathematical science of materials at the fundamental and computational level is a novel idea and much needed aim as material research confronts the challenge to bridge between small space and time scales, and the continuum limit.

2. Overall Program

The SNP meeting is tentative and depends on appropriate funding. Proposals have been submitted to NSF and other agencies to support this meeting.

Meetings of the Society for Natural Philosophy have a history of being cross-disciplinary
endeavors. The works presented at these conferences are expected to communicate depth and insight. They have embraced a broad spectrum of research topics, with common emphasis on the application of rigorous mathematical analysis to the study of physical systems.

The SNP conference program will consist of the three components below.

(i) Eight 1-hour lectures by prominent leading researchers from the physical and mathematical science world community.

a. Antonio di Carlo: Muscle models or work on elastomers. Dipartimento di Strutture,
Università di ROMA TRE, Rome, Italy.

b. Roberto Paroni: Dimension Reduction Techniques: Ideas and Applications. Dipartimento di Architettura e Pianificazione, Università degli Studi di Sassari, Alghero, Italy.

c. Mitch Luskin: Numerical Analysis of Quasicontinuum Methods. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA.

d. Richard Lehoucq: A Statistical Mechanical Foundation for Peridynamics. Sandia National Laboratories, Albuquerque, NM 87185-1320, USA.

e. Ellad Tadmor: A Unified Interpretation of Stress in Molecular Systems. Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA.

f. Lev Truskinovsky: Modeling microstructure effects. Laboratoire de Mécanique des
Solides, CNRS UMR-7649, École Polytechnique, Route de Saclay; 91128 Palaiseau,
France.

g. Sahraoui Chaieb: Large Deformation of lipid membranes: From the Golgi Apparatus to the Malaria. Nanobiophysics Laboratory Division of Physical Science and Engineering
KAUST, Thuwal, KSA.

h. Yi-chao Chen: A Continuum Theory for Materials with Microstructures. Department of Mechanical Engineering, University of Houston, Houston, TX 77204, USA.

 

(ii) Half-hour roundtable discussion lectures chosen out of submitted abstracts: An emphasis is placed on soliciting talks from young promising researchers.

a. Fernando P. Duda: On a theory for species migration in a finitely strained solids. Department of Mechanical Engineering, 21945-970 - Rio de Janeiro, RJ - Brazil.

 

(iii) A 1-hour open discussion on future directions of research.

The proposed SNP meeting is dedicated to the communication of ideas and issues that are of fundamental importance to the understanding of material behavior and the advancement of novel applications through objective reasoning based on the physical and mathematical science of materials. The applied mechanics community represents an important element in the professional interaction that must take place in order to affect new ideas and incorporate novel improvements in existing theories. The lectures and discussions will range from the atomistic to the continuum and bridges between the two will be questioned and debated. The young researchers in mechanics will be exposed to opportunities and challenges that are at the edge of current major issues in the development of the physical and mathematical science of materials.

3. Intellectual Merits

The theme of the proposed conference emphasizes the use of advanced mathematical tools and rational physical concepts to address critical problems arising in the modeling of material behavior across widely varying length scales. The conference talks will emphasize insight, depth and breadth of methodologies, and the environment will expose junior researchers to a novel, important, and rapidly expanding area of research in the physical and mathematical science of materials.

4. Broader Impact

The proposed conference will strongly promote interactions between mathematicians and scientists from other disciplines and will encourage researchers, especially junior researchers, to meet the challenges presented in basic research. By including junior researchers as speakers and supporting their travel expenses, the conference will promote the participation of students and researchers early in their careers.

5. Organizers

Roger Fosdick
Professor of Mechanics
Department of Aerospace Engineering and Mechanics
University of Minnesota
Minneapolis MN, 55455 - USA

Paolo Podio-Guidugli
Dipartimento di Ingegneria Civile
Universitá di Roma
"Tor Vergata"
Via Politecnico 1
I-00133 Rome, Italy