Presented By: Aerospace Engineering
AE585 Graduate Seminar Series - Mapping the Complex and Stochastic Response of Nanostructures
Ryan S. Elliott, Ellad B. Tadmor, Subrahmanyam Pattamatta, University of Minnesota
Ryan S. Elliott
Ellad B. Tadmor, Subrahmanyam Pattamatta
Department of Aerospace Engineering and Mechanics
University of Minnesota
Due to the exponential complexity of the equilibrium set associated with the potential energy landscape of atomic interactions, the response of nanostructures to applied loading is inherently stochastic. This complexity is addressed head on by the construction, using branch-following and bifurcation (BFB) methods, of an “Equilibrium Map” (EM) of the nanostructure. The EM describes all of the stable and unstable states of the structure at each value of applied loading and thereby provides a systematic procedure for identifying physically-meaningful response scenarios. These include the limiting cases of a quasistatic process (QP) and quenched dynamic (QD), as well as the rate-dependent case of driven dynamic (DD). The method is applied to the uniaxial compression of a nanoslab of nickel modeled using a classical interatomic potential. The set of possible equilibrium solutions for this simple problem is surprisingly complex and therefore demonstrates the need for such an approach.
About the speaker...
Ryan S. Elliott received his B.S. in Engineering Mechanics from Michigan State
University. He received his M.S.E., M.S., and Ph.D., all from The University
of Michigan. Elliott joined the faculty of the Aerospace Engineering and
Mechanics at The University of Minnesota in 2005 and was promoted to Associate
Professor in 2011. In 2010 he was Visiting Researcher at the Ecole
Polytechnique, France. Elliott was appointed to the Journal of Elasticity
Board of Editors in 2015, and to the International Journal of Solids and
Structures Board of Editors in 2017. In 2017, Elliott was elected Fellow of
the ASME.
Dr. Ryan S. Elliott's research deals with stability and instability problems
related to structures, materials, and microstructured materials, and includes
three major themes: (I) development of nonlinear modeling of discrete and
continuum solid-state materials and structures; (II) development of analytical
and computational methodologies (based on theories of symmetry, bifurcation,
and pattern formation) that can systematically discover the multiple stable
states predicted by a model; and (III) development of open source scientific
software. Elliott is co-author of the book "Continuum Mechanics and
Thermodynamics". He has received numerous awards, including: the Ivor
K. McIvor Award in Applied Mechanics (2004), the Russell J. Penrose Faculty
Fellowship (2012), and the ASME Thomas J.R. Hughes Young Investigator award
(2014).
Ellad B. Tadmor, Subrahmanyam Pattamatta
Department of Aerospace Engineering and Mechanics
University of Minnesota
Due to the exponential complexity of the equilibrium set associated with the potential energy landscape of atomic interactions, the response of nanostructures to applied loading is inherently stochastic. This complexity is addressed head on by the construction, using branch-following and bifurcation (BFB) methods, of an “Equilibrium Map” (EM) of the nanostructure. The EM describes all of the stable and unstable states of the structure at each value of applied loading and thereby provides a systematic procedure for identifying physically-meaningful response scenarios. These include the limiting cases of a quasistatic process (QP) and quenched dynamic (QD), as well as the rate-dependent case of driven dynamic (DD). The method is applied to the uniaxial compression of a nanoslab of nickel modeled using a classical interatomic potential. The set of possible equilibrium solutions for this simple problem is surprisingly complex and therefore demonstrates the need for such an approach.
About the speaker...
Ryan S. Elliott received his B.S. in Engineering Mechanics from Michigan State
University. He received his M.S.E., M.S., and Ph.D., all from The University
of Michigan. Elliott joined the faculty of the Aerospace Engineering and
Mechanics at The University of Minnesota in 2005 and was promoted to Associate
Professor in 2011. In 2010 he was Visiting Researcher at the Ecole
Polytechnique, France. Elliott was appointed to the Journal of Elasticity
Board of Editors in 2015, and to the International Journal of Solids and
Structures Board of Editors in 2017. In 2017, Elliott was elected Fellow of
the ASME.
Dr. Ryan S. Elliott's research deals with stability and instability problems
related to structures, materials, and microstructured materials, and includes
three major themes: (I) development of nonlinear modeling of discrete and
continuum solid-state materials and structures; (II) development of analytical
and computational methodologies (based on theories of symmetry, bifurcation,
and pattern formation) that can systematically discover the multiple stable
states predicted by a model; and (III) development of open source scientific
software. Elliott is co-author of the book "Continuum Mechanics and
Thermodynamics". He has received numerous awards, including: the Ivor
K. McIvor Award in Applied Mechanics (2004), the Russell J. Penrose Faculty
Fellowship (2012), and the ASME Thomas J.R. Hughes Young Investigator award
(2014).
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