Print Friendly printer friendly
 Events
Brown
Mon 16 Jan 2017, 3:00pm SPECIAL
Institute of Applied Mathematics
ESB 2012
Functional interpretation for transverse arches of human foot
ESB 2012
Mon 16 Jan 2017, 3:00pm-4:00pm

Abstract

Fossil record indicates that the emergence of arches in human ancestral feet coincided with a transition from an arboreal to a terrestrial lifestyle. Propulsive forces exerted during walking and running load the foot under bending, which is distinct from those experienced during arboreal locomotion. I will present mathematical models with varying levels of detail to illustrate a simple function of the transverse arch. Just as we curve a dollar bill in the transverse direction to stiffen it while inserting it in a vending machine, the transverse arch of the human foot stiffens it for bending deformations. A fundamental interplay of geometry and mechanics underlies this stiffening -- curvature couples the soft out-of-plane bending mode to the stiff in-plane stretching deformation. In addition to presenting a functional interpretation of the transverse arch of the foot, this study also identifies a classification of flat feet based on the skeletal geometry and mechanics.

Note for Attendees

Reception before the talk in ESB 4133 (PIMS lounge). This is the annual IAM alumni lecture. 
hide
 
Top