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SUMMARY:Computational fracture mechanics: accuracy and efficiency without 
 enrichment - Professor Will Coombs\, Department of Engineering\, Durham Un
 iversity
DTSTART:20191122T150000Z
DTEND:20191122T160000Z
UID:TALK135331@talks.cam.ac.uk
CONTACT:Dr Maria Marques de Carvalho
DESCRIPTION:Modelling fracture in brittle materials remains a challenging 
 problem in computational mechanics. In order to make fracture/fatigue pred
 ictions\, engineers require accurate determination the stress intensity fa
 ctors at the tips/fronts of evolving fracture networks.  Most methods that
  are able to obtain accuracies suitable for fatigue predictions do so by i
 ncorporating knowledge of the stress field around the crack tip within the
  numerical method.  However\, these stress field solutions are only valid 
 for specific materials and in the immediate vicinity of the crack tips\, t
 here are also computational issues when analysing problems involving sever
 al propagating fractures. This presentation will detail a Configurational 
 Force-based method that removes the necessity of knowing the stress field 
 a priori whilst producing very accurate stress intensity values at crack t
 ips [1]. The proposed method is demonstrated to be path independent and is
  combined with a robust a posteriori residual error estimator [2] which ca
 n be used to quantify the errors associated with the fracture predictions.
  Accuracies are achieved which are at least 100 times more accurate than o
 ther numerical methods which make no assumption about the local tip stress
  field.  This opens the door for Configurational Force-based methods to be
  used for fatigue predictions. \n\n[1] Bird\, R.E.\, Coombs\, W.M. & Giani
 \, S. (2019). Accurate Configuration Force Evaluation via hp-adaptive Disc
 ontinuous Galerkin Finite Element Analysis. Engineering Fracture Mechanics
  216: 106370.\n[2] Bird\, R. E.\, Coombs\, W. M. & Giani\, S. (2019). A po
 steriori discontinuous Galerkin error estimator for linear elasticity. App
 lied Mathematics and Computation 344-345: 78-96.\n
LOCATION:Seminar Room\, Civil Engineering Building\, JJ Thomson Avenue 7a.
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