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UID:0-512@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20150812T163000

DTEND;TZID=Asia/Jerusalem:20150812T173000

DTSTAMP:20230603T192638Z

URL:https://aerospace.technion.ac.il/events/recent-advances-in-computation
 al-fracture-mechanics/

SUMMARY:Recent Advances in Computational Fracture Mechanics
DESCRIPTION:Lecturer:Prof. Haim Waisman\n Faculty:Civil Engineering and Eng
 ineering Mechanics\n Institute:Columbia University\n Location:Classroom 16
 5\, ground floor\, Library\, Aerospace Eng.\n Zoom: \n Abstract: \n Detail
 s: \n The modelling of cracks and shearbands\, arising from brittle and du
 ctile response of materials\, poses significant computational challenges. 
 In this talk I will present our recent developments in the field of comput
 ational fracture mechanics that address some of these challenges.\nThe fir
 st part of the talk\, devoted to brittle fracture\, will focus on a new fo
 rmulation based on a high order extended finite element method and Irwin
 ’s integral to extract Strain Energy Release Rates in linear elastic fra
 cture mechanics. Extended finite element methods provide an attractive alt
 ernative to standard finite elements in that they do not require fine spat
 ial resolution in the vicinity of discontinuities nor do they require repe
 ated re-meshing to properly address propagation of cracks. The significanc
 e of the approach presented is that it provides an efficient alternative t
 o the J-integral method and can circumvent some of the J-integral limitati
 ons when applied to 3D fracture modelling and crack coalescence.\nThe seco
 nd part of the talk will focus on dynamic fracture of metals which may be 
 brittle or ductile depending on factors such as material properties\, load
 ing rate and specimen geometry. At high strain rates\, a thermo-plastic in
 stability known as shear banding may occur\, which typically precedes frac
 ture while at lower rates brittle fracture is observed. To date there is n
 o model that captures both phenomenon in single framework. To this end\, I
  will present a novel mixed finite element formulations with diffusive reg
 ularization for shear band instabilities combined with a phase field metho
 d for fracture. The governing nonlinear PDE system is solved robustly by a
 n implicit monolithic solver. The main formulations along with some numeri
 cal examples to illustrate the performance of the model will be presented.
  I will briefly discuss a range of challenges including discretization and
  element formulation\, mesh sensitivity\, large deformations and re-meshin
 g\, parallel computing and solver technology.
CATEGORIES:Seminars
LOCATION:Classroom 165\, ground floor\, Library\, Aerospace Eng.

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