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On the properties of porous piezoelectric materials saturated with conducting fluid*

Some geological materials such as quartz and biological materials such as cortical bones and cancellous bones exhibit piezo-electric behaviors, for which a mechanical wave such as ultrasound can trigger electro-magnetic waves. In this talk, we consider the porous composite materials made of linear piezo-electric solid with pores saturated with linear [Read More...]

Presenter: Yvonne Ou, University of Delaware
Symposium Year: 2022
Session: Recent Advancements in the Mathematics of Materials
Presentation Time: June 18, 2022; 3:20 pm

Modeling the Mechanics of 2D Materials

A graphene sheet is a single-atom thick macromolecule of carbon atoms arranged in a honeycomb hexagonal lattice. When observing a graphene sheet suspended over a substrate, moiré patterns appear driven by lattice and orientation mismatches. In this talk, we start by presenting a formal discrete-to-continuum procedure to derive a continuum variational model [Read More...]

Presenter: Malena I. Espanol, School of Mathematical and Statistical Sciences, Arizona State University
Authors: Dmitry Golovaty and Pat Wilber
Symposium Year: 2022
Session: Recent Advancements in the Mathematics of Materials
Presentation Time: June 18, 2022; 3:45 pm

Bloch Waves in High Contrast Electromagnetic Crystals

In this talk, we present the derivation of analytic representation formulas and power series describing the band structure inside non-magnetic periodic photonic crystals, made from high dielectric contrast inclusions. We identify a resonance spectrum for quasi-periodic source-free modes, which are used to represent solution operators associated with [Read More...]

Presenter: Silvia Jimenez Bolanos, Colgate University
Authors: Abiti Adili, Silvia Jimenez Bolanos, Robert P. Lipton, and Robert Viator Jr.
Symposium Year: 2022
Session: Recent Advancements in the Mathematics of Materials
Presentation Time: June 18, 2022; 4:10 pm

Homogenization of a suspension of viscous fluid with magnetic particles*

In this talk, the rigorous periodic homogenization for a coupled system, which models a suspension of magnetizable rigid particles in a non-conducting carrier viscous Newtonian fluid is discussed. Both one-way and two-way coupling between the fluid and particles are considered. As the size of the particles approaches zero, it is shown that the suspension’s [Read More...]

Presenter: Yuliya Gorb, National Science Foundation
Authors: Thuyen Dang, Yuliya Gorb, and Silvia Jiménez Bolaños
Symposium Year: 2022
Session: Recent Advancements in the Mathematics of Materials
Presentation Time: June 18, 2022; 4:35 pm
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