黑料吃瓜网

Abstract: This talk will discuss the basic continuum approach we use to describe and model granular materials from a homogenized (as opposed to grain-by-grain) perspective.   The goal will be to determine a modeling framework able to simultaneously describe the various phases of matter that granular media assumes --- solid-like (dense with yield stress), liquid-like (dense flowing), and gas-like (separated grains). The talk will begin with a careful review of the broad continuum principles involved, including stress tensors, deformation kinematics, balance relations, and constitutive relations.  We will discuss the various challenges researchers have had in rigorously describing granular media's constitutive behavior, i.e. the general deformation response to applied load.  To that end, I will introduce a hierarchy of constitutive models for granular media, which add progressively more detail into the modeling and accuracy into the predictions.  These models will be demonstrated as will their modern numerical implementation methods.

Bio: Ken Kamrin received a BS in Engineering Physics with a minor in Mathematics at UC Berkeley in 2003, and a PhD in Applied Mathematics at MIT in 2008.  Kamrin was an NSF Postdoctoral Research Fellow at Harvard University in the School of Engineering and Applied Sciences before joining the Mechanical Engineering faculty at MIT in 2011, where he was appointed the Class of 1956 Career Development Chair.  After 13 years as a professor at MIT, Ken joined the UC Berkeley Mechanical Engineering faculty in 2024.  Kamrin鈥檚 research focuses on constitutive modeling and computational mechanics for large deformation processes, with interests spanning elastic and plastic solid modeling, granular mechanics, amorphous solid mechanics, and fluid-structure interaction.  Kamrin鈥檚 honors include the 2010 Nicholas Metropolis Award from APS, the NSF CAREER Award in 2013, the 2015 Eshelby Mechanics Award for Young Faculty, the 2016 ASME Journal of Applied Mechanics Award, and the 2022 MacVicar Faculty Fellowship from MIT.  He sat for three years on the Board of Directors of the Society of Engineering Science and serves as an associate editor for the International Journal of Solids and Structures, Granular Matter, and Computational Particle Mechanics.