In this work, a grain boundary formulation for intergranular and transgranular micro-cracking in three-dimensional polycrystalline aggregates is presented. The formulation is based on the displacement and stress boundary integral equations of solid mechanics and it has the advantage of expressing the polycrystalline problem in terms of grain boundary variables only. The individual grains within the polycrystalline morphology are modelled as generally anisotropic linear elastic domains with random spatial orientation. Transgranular micro-cracking is assumed to occur along specific cleavage planes, whose orientation in space within the grains depend upon the crystallographic lattice. Both intergranular and transgranular micro-cracking are modelled using suitably defined cohesive laws, whose parameters characterise the behaviour of the two mechanisms. The algorithm developed to track the inter/transgranular micro-cracking history is presented and discussed. Several numerical tests involving pseudo-3D and fully 3D morphologies are performed and analysed. The presented numerical results show that the developed formulation is capable of tracking the initiation and evolution of both intergranular and transgranular cracking as well as their competition, thus providing a useful tool for the study of damage micro-mechanics.

Gulizzi, V., Rycroft, C., Benedetti, I. (2018). Modelling intergranular and transgranular micro-cracking in polycrystalline materials. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 329, 168-194 [10.1016/j.cma.2017.10.005].

Modelling intergranular and transgranular micro-cracking in polycrystalline materials

Gulizzi, V.;Benedetti, I.
2018-01-01

Abstract

In this work, a grain boundary formulation for intergranular and transgranular micro-cracking in three-dimensional polycrystalline aggregates is presented. The formulation is based on the displacement and stress boundary integral equations of solid mechanics and it has the advantage of expressing the polycrystalline problem in terms of grain boundary variables only. The individual grains within the polycrystalline morphology are modelled as generally anisotropic linear elastic domains with random spatial orientation. Transgranular micro-cracking is assumed to occur along specific cleavage planes, whose orientation in space within the grains depend upon the crystallographic lattice. Both intergranular and transgranular micro-cracking are modelled using suitably defined cohesive laws, whose parameters characterise the behaviour of the two mechanisms. The algorithm developed to track the inter/transgranular micro-cracking history is presented and discussed. Several numerical tests involving pseudo-3D and fully 3D morphologies are performed and analysed. The presented numerical results show that the developed formulation is capable of tracking the initiation and evolution of both intergranular and transgranular cracking as well as their competition, thus providing a useful tool for the study of damage micro-mechanics.
2018
Gulizzi, V., Rycroft, C., Benedetti, I. (2018). Modelling intergranular and transgranular micro-cracking in polycrystalline materials. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 329, 168-194 [10.1016/j.cma.2017.10.005].
File in questo prodotto:
File Dimensione Formato  
CMAME_TG_Revision_UNMARKED.pdf

accesso aperto

Tipologia: Pre-print
Dimensione 7.08 MB
Formato Adobe PDF
7.08 MB Adobe PDF Visualizza/Apri
2018 - CMAME - TG.pdf

Solo gestori archvio

Tipologia: Versione Editoriale
Dimensione 8.35 MB
Formato Adobe PDF
8.35 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/246489
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 38
  • ???jsp.display-item.citation.isi??? 27
social impact