Colloquium Schedule

Colloquium: Thursday, December 8, 4:10 PM, Lewis Lab 316

Randomness in Mechanics of Materials

Martin Ostoja-Starzewski

Department of Mechanical Science and Engineering
University of Illinois at Urbana-Champaign

Microstructural randomness is present in just about all solid materials. When dominant (macroscopic) length scales are large relative to microscales, one can safely work within classical, deterministic solid mechanics. However, when the separation of scales does not hold, various concepts of continuum mechanics need to be re-examined and new methods developed. In this talk we focus on scaling from a Statistical Volume Element (SVE) to a Representative Volume Element (RVE). Starting from the Hill-Mandel homogeneity condition, without assuming any spatial periodicity, the RVE is approached in terms of two hierarchies of bounds stemming, respectively, from uniform kinematic and static boundary value problems set up on the SVE. This is illustrated in various settings: conductivity, linear or finite (thermo)elasticity, plasticity, viscoelasticity, and Darcy permeability. In the latter case, should the pores’ sizes be comparable to nanoscales, one may have to account for violations of the second law of thermodynamics. The entire methodology can also be extended to homogenization of random media by micropolar (Cosserat) rather than by classical (Cauchy) continua. This methodology also forms a systematic basis for setting up of random fields with continuous realizations and stochastic finite element methods.
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Physics and Astronomy Colloquia are usually scheduled for Thursdays at 4:10 PM in Lewis Lab room 316. Refreshments and snacks are available in the nearby coffee room at 3:45 PM.


Physics Colloquium Schedule for FALL 2016

Click on Title below for past or upcoming Announcements (where available), and Speaker name for website.        

September 1Andrew NorrisRutgers Univ.Acoustic Metamaterials, Phononics Crystals
and Applications
September 8Asif ud-DoulaPenn State ScrantonStrong Winds of Magnetic Massive Stars
September 14Mildred DresselhausMITSPECIAL PUBLIC LECTURE: Great Scientists I Have Worked With and What I Learned from Each
September 15Mildred DresselhausMITResearch Advances as Size Gets Increasingly Small
September 22Yara YinglingNorth Carolina StateMolecular Modeling of Structure and Salt-Responsive Morphology of DNA-Based Materials
September 29A. T. Charlie JohnsonUniv. of PennsylvaniaTwo-Dimensional Materials: Science and Applications
October 6Kevin GarrityNISTOverlooked Oxides: High-Throughput Computational Search for New Thermoelectric and Ferroelectric Oxides
October 13Tabetha BoyajianYale Univ.KIC 8462852: Where’s The Flux
October 20Cristina MarchettiSyracuse Univ.
October 27Abraham NitzanUniv. of Pennsylvania
November 3John CrockerUniv. of PennsylvaniaDNA Colloids: Crystals, Transformations, Building Blocks and Beyond
November 10Brooks ThomasLafayette College
November 17Michael LisaOhio State Univ.From the Stars to STAR: Intensity Interferometry from HBT to Heavy Ions
November 24ThanksgivingNo Colloquium-
December 1Shamit KachruStanford Univ.Black Holes, String Theory, and Number Theory
December 8Martin Ostoja-StarzewskiU. Illinois Urbana-Cham.Randomness in Mechanics of Materials
December 15---