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SUMMARY:CESS Seminar: Fracture propagation in brittle or embrittled materi
 als as a standard dissipative process
DTSTART:20191115T121500
DTEND:20191115T130000
DTSTAMP:20260428T153130Z
UID:ce408556d00ea473ba7a4e8032beec954f65e063c8ee705289595bb0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Alberto Salvadori\, DIMI\, University of Brescia\, Ital
 y\nAbstract:\nRecent publications framed the problem of three-dimensional 
 quasi-static crack propagation in brittle materials into the theory of sta
 ndard dissipative processes [1\, 2]. Variational formulations\, stated the
 rein\, characterize the three-dimensional crack front quasi-static velocit
 y as the minimizer of constrained quadratic functionals. An implicit in ti
 me crack tracking algorithm\, that computationally handles the constraint 
 via a penalty method was developed and implemented in [3]. Although the th
 eoretical setting is sound\, the derived crack tracking methods suffered f
 rom a major drawback that limited the interest in the method to its theore
 tical content. Specifically\, the need of still currently unavailable acc
 urate approximations for weight functions made the approach of minor inter
 est from a numerical standpoint. Such a drawback was overcome in [4]\, whe
 re a viscous regularization of the fracture propagation in brittle materia
 ls as a standard dissipative process was formulated. Rate-dependency provi
 ded a simple and accurate approximation of the crack front velocity\, thus
  allowing to formulate effective crack tracking algorithms. That idea is f
 urther developed here to model hydraulic fracture processes [5]. Although 
 limited to a penny shaped crack benchmark\, the novel set of differential 
 equations that are here proposed are capable to model the evolution of the
  lag and of the crack advancing in a straightforward way. The formulation 
 can be easily extended to account for fractures pressurized by gas or othe
 r substances.\n \n[1] A. Salvadori. A plasticity framework for (linear el
 astic) fracture mechanics. J Mech Phys Sol. (2008)\n[2] A. Salvadori and F
 . Fantoni. Minimum theorems in 3D incremental linear elastic fracture mech
 anics. Int J Frac (2013)\n[3] A. Salvadori and F. Fantoni. Fracture propag
 ation in brittle materials as a standard dissipative process: general theo
 rems and crack tracking algorithms.  J Mech Phys Sol. (2016)\n[4] A. Salv
 adori\, P.A. Wawrzynek\, and F. Fantoni. Fracture propagation in brittle m
 aterials as a stan dard dissipative process: Effective crack tracking algo
 rithms based on a viscous regularization J Mech Phys Sol. (2019)\n[5] E. D
 etournay. Mechanics of hydraulic fractures. Ann. Rev. Fluid Mech. (2016)\n
 \nBio:\nProf. Alberto Salvadori received his M.S. in Civil Engineering fro
 m the University of Brescia in 1995 and Ph.D. degrees in Engineering Scien
 ce from Politecnico di Milano\, in 2000. At present\, he is Associate Prof
 essor at the University of Brescia. He has been Research Assistant Profess
 or at the University of Notre Dame\, USA from Jan. 2015 to June 2017. He w
 as also recipient of a Marie-Curie IEF fellowship\, that he spent at the T
 echnical University of Eindhoven (The Netherlands). He founded the Multisc
 ale Mechanics and Multiphysics of Materials Lab and is currently Director 
 of the CeSiA (Centro di Studio e Ricerca di Sismologia applicata e dinamic
 a strutturale - Applied Seismology and Structural Dynamics Research Center
 ) at the University of Brescia. Professor Salvadori's research is focused
  on the multiscale and multiphysics modeling in the green and white econom
 y\, as well as on understanding of failure in continua. He is particularly
  interested in Mechanobiology\, energy-storage materials\, (computationa
 l) homogenization\, diffusion and migration of species in solids and in th
 e induced fracturing processes (especially for Li-ion batteries modeling\,
  Hydrogen Embrittlement in metals\, Environmentally assisted cracking\, So
 lid Oxide Fuel Cells\, Hydraulic fracturing and gas/oil shale extraction)\
 , variationally modeled in two- and three-dimensions via standard dissipat
 ive systems and approximated via ad-hoc numerical schemes.\n 
LOCATION:GC B3 31 https://plan.epfl.ch/?room==GC%20B3%2031
STATUS:CONFIRMED
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