Modeling Electrode Heterogeneity in Lithium-Ion Batteries : Unimodal and Bimo…

In mathematical models of lithium-ion batteries, the highly heterogeneous porous electrodes are frequently approximated as comprising spherical particles of uniform size, leading to the commonly us…

Homogenization of Spirally Wound High-Contrast Layered Materials

Asymptotic homogenization is used to systematically derive reduced-order macroscopic models of conductive behavior in spirally wound layered materials in which the layers have very different conduc…

Homogenization of Flow Through Periodic Networks

Asymptotic Reduction of a Lithium-Ion Pouch Cell Model

Emotionally durable design objects, experiences and empathy

A Multiphase Multiscale Model for Nutrient-limited Tissue Growth, Part II : A…

In this paper, we revisit our previous work in which we derive an effective macroscale description suitable to describe the growth of biological tissue within a porous tissue-engineering scaffold. …

Diffusion of Particles with Short-Range Interactions

Modeling Growth in Biological Materials

Effective Transport Properties of Lattices

Asymptotic Analysis of a System of Algebraic Equations Arising in Dislocation…