Summary: 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.

Posted on Apr 4, 2024 in Seminars, SIPo (Seminario de Investigadores Postdoctorales)