Modelling of Weibull Distributions in Brittle Solids Using 2-Dimensional Peridynamics

Autor: Luc J. Vandeperre, Mark R. Wenman, L.D. Jones, T.A. Haynes
Rok vydání: 2020
Předmět:
Zdroj: Procedia Structural Integrity. 28:1856-1874
ISSN: 2452-3216
Popis: 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.
Databáze: OpenAIRE