Modelling of Weibull distributions in brittle solids using 2-dimensional peridynamics

Jones, L.D., Vandeperre, L.J., Haynes, T.A. and Wenman, M.R. (2020) Modelling of Weibull distributions in brittle solids using 2-dimensional peridynamics. In: Procedia Structural Integrity. Procedia Structural Integrity, 28 . Elsevier, pp. 1856-1874.

[img] PDF (Published_Version) - Published Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (1MB)

Abstract

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.

Item Type: Book Section
Additional Information: 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.
Uncontrolled Keywords: brittle fracture,non-local modelling,peridynamics,weibull,mechanical engineering,mechanics of materials,civil and structural engineering,materials science(all) ,/dk/atira/pure/subjectarea/asjc/2200/2210
Faculty \ School:
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 10 Nov 2021 08:26
Last Modified: 17 Nov 2021 05:00
URI: https://ueaeprints.uea.ac.uk/id/eprint/82036
DOI: 10.1016/j.prostr.2020.11.009

Actions (login required)

View Item View Item