Speaker: Nicolás Barnafi
Pontificia Universidad Católica de Chile
Date: Tuesday, April 09, 2024 at 2:30 p.m. Santiago time

Abstract:
In this talk, we will briefly introduce the nonlinear elasticity
equations to understand the language of large deformations modeling.
After this, we will focus on the much less studied “Inverse Elasticity
Problem”, whose solution is sometimes referred to as the reference
configuration, or stress-free configuration. This problem can be stated
as follows: Given a set of known external forces and a *deformed*
configuration, find an initial (or reference) configuration such that,
when the given forces are applied to it, we recover the deformed
configuration.

As we will see, the equations of nonlinear elasticity possess a certain
duality which allows, in a very “simple” manner, to formulate both the
direct and inverse problems, with almost no impact on the problem
structure. We will also see some numerical experiments to verify our
theoretical claims (if you want). If time allows it, I would also like
to discuss some ongoing work on nonlinear poroelastic media.

Venue: Sala John Von Neumann, 7th floor, Beauchef 851