TY - GEN
T1 - Modelling of Weibull distributions in brittle solids using 2-dimensional peridynamics
AU - Jones, L. D.
AU - Vandeperre, L.J.
AU - Haynes, T.A.
AU - Wenman, M.R.
N1 - Funding Information: Lloyd Jones and Mark Wenman acknowledge funding from the National Nuclear Laboratory. Thomas Haynes acknowledges funding from the Engineering and Physical Sciences Research Council MIDAS programme, Grant Number EP/S01702X/1. Lloyd Jones, Mark Wenman and Luc Vandeperre acknowledge funding from the Engineering and Physical Sciences Research Council Centre for Doctoral Training in Nuclear Energy, Grant Number EP/L015900/1.
PY - 2020
Y1 - 2020
N2 - Peridynamics is a continuum mechanics modelling method, which offers advantages over traditional continuum methods when modelling brittle fracture. Brittle fracture typically follows a Weibull fracture distribution, but this behaviour is not well represented in bond-based peridynamics using a single valued bond failure stretch. In order to recreate specific Weibull-type behaviour in bond-based peridynamics, consideration must be given to scaling the distribution to account for the size of peridynamics bonds. Care must also be taken to avoid (wherever possible) non-physical crack arrest, caused by the variations in fracture toughness in the model, distorting the distributions. In this work a method for recreating a variety of Weibull distributions is outlined, based on applying Weibull-type bond behaviour only to surface bonds, including a transition zone across one horizon. The method is shown to be insensitive to variations in mesh refinement.
AB - Peridynamics is a continuum mechanics modelling method, which offers advantages over traditional continuum methods when modelling brittle fracture. Brittle fracture typically follows a Weibull fracture distribution, but this behaviour is not well represented in bond-based peridynamics using a single valued bond failure stretch. In order to recreate specific Weibull-type behaviour in bond-based peridynamics, consideration must be given to scaling the distribution to account for the size of peridynamics bonds. Care must also be taken to avoid (wherever possible) non-physical crack arrest, caused by the variations in fracture toughness in the model, distorting the distributions. In this work a method for recreating a variety of Weibull distributions is outlined, based on applying Weibull-type bond behaviour only to surface bonds, including a transition zone across one horizon. The method is shown to be insensitive to variations in mesh refinement.
KW - Brittle fracture
KW - Non-local modelling
KW - Peridynamics
KW - Weibull
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85099821587&partnerID=MN8TOARS
UR - http://www.scopus.com/inward/record.url?scp=85099821587&partnerID=8YFLogxK
U2 - 10.1016/j.prostr.2020.11.009
DO - 10.1016/j.prostr.2020.11.009
M3 - Conference contribution
VL - 28
T3 - Procedia Structural Integrity
SP - 1856
EP - 1874
BT - Procedia Structural Integrity
PB - Elsevier
ER -