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SUMMARY:MEchanics GAthering –MEGA- Seminar: How segmented 3D cracks stor
 e energy + Converging Periodic Orbits in Fluid Flows Using Data-Driven Met
 hods
DTSTART:20251204T130500
DTEND:20251204T140000
DTSTAMP:20260416T122832Z
UID:0a38d4e04f63f804d1cc73ec3b5f76656c7e05f326c8c881c3cc520e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Xinyue Wei (EMSI\, EPFL)\nPierre Beck (ECPS\, EPFL)\nAbstrac
 t 1: Crack propagation is one of the main causes of material failure. Whi
 le the classical theory of linear elastic fracture mechanics is based on p
 lanar assumptions\, cracks in reality are intrinsically three-dimensional.
  A typical complex crack often consists of segmented crack fronts bridged 
 by a thin material ligament. These ligaments are universal features at the
  complex crack fronts\, yet their mechanical role has remained unclear. Us
 ing light sheet microscopy and particle tracking\, we directly resolve the
  in-situ kinematics around 3D crack fronts in brittle hydrogels. Our resul
 ts show that the apparent fracture toughness of the complex cracks is prop
 ortional to the elastic energy stored within the material ligament\, linki
 ng local crack-front structure to global fracture toughness and underscor
 ing the need for fully three-dimensional energetic descriptions of brittle
  failure.\n\nAbstract 2: Unstable periodic orbits (UPOs) are the non-chao
 tic\, dynamical building blocks of spatio-temporal chaos. Their computatio
 n\, however\, is challenging due to two main issues: the system's chaotic 
 nature and the large number of spatial discretization variables. We tackle
  both of these issues at once by using data-driven dimensionality reductio
 n in order to implement a convergence algorithm for UPOs directly within 
 a low-dimensional latent space. The convergence algorithm avoids time-inte
 gration\, thus taming the chaos\, and is based on a latent dynamics obtain
 ed by pulling the physical equations into the latent space using the chain
  rule. Crucially\, this preserves the structure of the attractor\, which w
 e show by demonstrating an equivalence between the latent UPOs and their p
 hysical counterparts for a model PDE and the 2D Navier-Stokes equations.\n
 \nBio 1: Xinyue is a PhD student at EMSI lab at EPFL\, where she investig
 ates the fracture of brittle hydrogels. Xinyue received her bachelor’s d
 egree at Shanghai Jiao Tong University and her master’s degree at the Un
 iversity of Pennsylvania\n\nBio 2: Pierre Beck received his Bachelor's an
 d Master's degrees in Mathematics from the University of Cambridge. After 
 spending two years at the Central Bank of Luxembourg\, he began his PhD i
 n the Emergent Complexity in Physical Systems (ECPS) lab at EPFL in Septe
 mber 2022. In his research\, he is interested in the dynamical systems app
 roach to fluid dynamics. In particular\, he cares about the computation of
  simple invariant solutions of chaotic fluid flows with recent tools from 
 machine learning.
LOCATION:ME B1 10 https://plan.epfl.ch/?room==ME%20B1%2010 https://epfl.zo
 om.us/j/62818122914?pwd=mK9C0qNgeegWp7FXCnxuOudnODjT7B.1
STATUS:CONFIRMED
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