Conference on Multiscale Effects in Material Microstructures and Defects

SNP Meeting/IMA PI Conference:
Multiscale Effects in Material
Microstructures and Defects

University of Kentucky
Lexington, KY
Friday, September 26 -- Sunday, September 28, 2003


Michel Jabbour Mathematics University of Kentucky
Chi-Sing Man Mathematics University of Kentucky



We are pleased to acknowledge the support of the following institutions:

Society for Natural Philosophy;
Institute for Mathematics and its Applications, University of Minnesota;
Office of the Vice-President for Research, University of Kentucky;
National Science Foundation.

The Society for Natural Philosophy, founded in 1963 by the late Clifford Truesdell, nourishes specific research aimed at the unity of mathematical and physical science. It seeks to recognize and promote work of high quality. Additional information about the Society is available at


Scientific Program

The study of microstructures and defects in a wide class of technologically important materials has, over the past several decades, attracted much interest among applied mathematicians, materials engineers and scientists, mechanicians, and solid-state physicists. Indeed, experimental observations strongly indicate that material microstructures and defects impact on the macroscopic properties of the materials of which they are part and, subsequently, influence the performance and lifetime of various devices made of the materials in question. Examples include point and line defects in liquid crystals, phase interfaces in multiphase solids, domain walls in ferroelectric and ferromagnetic materials, crystallographic texture and grain boundaries in polycrystalline materials, and various defects such as steps and adatoms on crystalline and thin film surfaces.

It is therefore important to acquire a knowledge, both qualitative and quantitative, of how these microstructures and defects influence the properties of materials of which they are part. In this respect, the main challenges have been (i) to develop mathematical models that characterize material microstructures and defects and capture the physics underlying their evolution, and (ii) to bridge models that pertain to phenomena occuring at different length scales. To address the latter issue, mathematicians have developed the methods of homogenization, in relation to, e.g., the characterization of the macroscopic behavior of composites. More recently, advances in the manufacturing of nano-devices have made it necessary to develop novel mathematical tools and to extend the scope of applicability of established techniques to incorporate information derived from atomic-level models into their continuum counterparts.

The goal of this meeting is to bring together mathematicians, engineers, and scientists working on problems related to the multiscale modeling, analysis, and simulation of microstructures and defects in materials. It will provide an opportunity for internationally renowned researchers, recent Ph.D.'s, and advanced graduate students in the areas of mathematics and mechanics of materials to interact, share novel ideas, and possibly initiate new collaborations. More specifically, the objectives of the meeting are:


Lists of Participants and Main Speakers

Speakers of Invited Lectures
L. Anand MIT
K. Bhattacharya Caltech
M. Epstein U. Calgary
E. Fried Washington U.
M. E. Gurtin Carnegie Mellon
R. D. James U. Minnesota
R. P. Lipton LSU Baton Rouge
D. Owen Carnegie Mellon
P. Podio-Guidugli Roma 2
P. Ponte Castaneda U. Penn

List of Confirmed Participants



A registration fee of $50 will be charged to help defray the costs of the banquet and of refreshments at coffee breaks. To facilitate planning, all prospective participants are urged to notify Professor Chi-Sing Man ( by e-mail, as soon as possible, their intention to attend this meeting. A check of $50, made payable to "University of Kentucky", should be sent to Man (Department of Mathematics, University of Kentucky, 715 Patterson Office Tower, Lexington, KY 40506-0027, USA) by September 10, 2003.

All attendees of this meeting will receive a free one-year membership with the Society for Natural Philosphy.


Financial Support

The Society for Natural Philosophy (SNP), the Institute for Mathematics and its Applications (IMA), and the University of Kentucky (UK) have pledged funds to support this meeting. Moreover, a grant from the National Science Foundation (NSF) will ensure the availability of partial support to young researchers. Recent Ph.D.'s and advanced graduate students are strongly encouraged to apply for travel and lodging support. Prospective participants who will have to use their personal funds to attend this meeting are also encouraged to apply for partial support.

This SNP Meeting is co-sponsored by the IMA as an IMA PI Conference. Faculty members, students, and employees of IMA Participating Institutions are eligible to apply for travel support from the IMA PI funds of their home institution. Those interested should direct enquiries to the IMA representative of their home institution.


Abstracts & Schedule

Friday, September 26

MorningGallery, Room 1-65, Young Library

8:30 - 9:25 M.E. Gurtin (CMU)
Plasticity of single-crystals at the micron level: a gradient theory that characterizes the local Burgers vector (abstract)
9:25 - 9:55 G. Del Piero (Ferrara)
Modeling of plastic-like media via structured deformations (abstract)
9:55 - 10:20Coffee break

10:20 - 11:15 M. Epstein (Calgary)
Nonlocal configurational entities (abstract)
11:15 - 11:45 M.Z. Elzanowski (Portland State)
A concept of material symmetry in a structurally based theory of defective crystals (abstract)
11:45 - 12:15 A. Acharya (CMU)
Field dislocation mechanics: mechanical structure, driving forces, and computational approximation (abstract)
12:15 - 1:45Lunch break

AfternoonAuditorium, Room 1-62, Young Library

1:45 - 2:40 R. Lipton (LSU)
Multiscale stress analysis for composite media: estimation of overstressed zones and development of macroscopic failure criteria (abstract)
2:40 - 3:10R. Paroni (Sassari)
Energy density of a martensitic thin film via dimensional reduction (abstract)
3:10 - 3:35Coffee break

3:35 - 4:30 P. Ponte Castaneda (U. Penn)
Recent developments in nonlinear homogenization (abstract)
4:30 - 5:00 L. Deseri (Ferrara)
Texture and plasticity of polycrystals: a probabilistic approach (abstract)
5:00 - 5:30 Y. Xiang (Kentucky)
Effects of grain shape and crystallographic texture on plastic anisotropy of aluminum alloys (abstract)
Saturday, September 27

MorningAuditorium, Room 1-62, Young Library

8:30 - 9:25 L. Anand (MIT)
Thermo-mechanically coupled superelastic response of Nitrinol (abstract)
9:25 - 9:55 A. Vainchtein (Pittsburgh)
Explicit kinetic relation from the "first principles" (abstract)
9:55 - 10:20 Coffee break

10:20 - 11:15 K. Bhattacharya (Caltech)
Electromechanical behavior of ferroelectrics (abstract)
11:15 - 11:45A. Yip (Purdue)
Structures of local minimizers of a one-dimensional higher order variational problem (abstract)
11:45 - 12:15 A. Umantsev (North Carolina at Fayetteville)
Thermal effects of phase transformations in materials (abstract)
12:15 - 1:45Lunch break

AfternoonAuditorium, Room 1-62, Young Library

1:45 - 2:40 P. Podio-Guidugli (Roma II)
On the modeling of domain-wall structures in ferromagnets (abstract)
2:40 - 3:10R.V. Kukta (Stony Brook)
Strain dependence of adatoms and adatom clusters on a substrate surface (abstract)
3:10 - 3:35Coffee break

3:35 - 4:30 R.D. James (Minnesota)
A way to search for new materials with unprecedented combinations of physical properties (abstract)
4:30 - 5:30 Moderator: M.E. Jabbour (Kentucky)
Open forum on future directions of research
7:00 - 9:30 Conference banquet
Hyatt Regency, Downtown Lexington
Sunday, September 28

MorningHyatt Regency Lexington

8:30 - 9:25 E. Fried (Washington U)
Disclinations in nematic elastomers (abstract)
9:25 - 9:55 E. Baesu (Nebraska)
Investigation of mechanical properties of cell membranes (abstract)
9:55 - 10:20Coffee break

10:20 - 11:15 D. Owen (CMU)
Decompositions and identification relations as guides in the formulation of multiscale field theories (abstract)
11:15 - 11:45 R. Segev (Ben-Gurion)
Norms of force functionals and universal stress estimates (abstract)
11:45 - 12:15 E. Shin (Penn State)
Thermoelectric effects in superconductivity (abstract)


Hotel Reservations

A block of rooms has been reserved at the Hyatt Regency Lexington (phone: +1-859-253-1234; fax: +1-859-233-7974), where the banquet on Saturday evening and the Sunday morning session will take place. A home football game of the University of Kentucky is scheduled on Saturday evening (September 27) in a stadium that holds more than 67,000 spectators. The hotels and motels in Lexington will be fully booked during the weekend of the meeting. We strongly encourage participants to make hotel reservations as soon as possible. When making reservation at the Hyatt, please mention the group code G-SNP and ask for the UK rate ($89/night + tax).

The Hyatt runs hourly shuttles between the hotel and the Lexington Blue Grass Airport. The shuttles are scheduled to depart from the airport on the hour. On arrival you may also call the hotel for pick up from a phone booth in the baggage claim area.