eprintid: 1957
rev_number: 6
eprint_status: archive
userid: 56
dir: disk0/00/00/19/57
datestamp: 2013-11-28 12:53:08
lastmod: 2014-10-09 09:20:25
status_changed: 2013-11-28 12:53:08
type: article
metadata_visibility: show
creators_name: Carpinteri, Alberto
creators_name: Paggi, Marco
creators_id: 
creators_id: marco.paggi@imtlucca.it
title: Analytical study of the singularities arising at multi-material interfaces in 2D linear elastic problems 
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Asymptotic analyses; Micromechanics and/or materials mechanics; Interface fracture; Transgranular fracture;   Welded or bonded joints
abstract: The problem of stress singularities due to multi-material junctions in the material microstructure is addressed in the framework of the eigenfunction expansion method, provided that the eigenvalues are explicitly assumed complex. A novel efficient numerical procedure for computing the order of the stress singularity is presented. The numerical method can also be used to solve analogous singularity problems in anisotropic elasticity. According to this procedure, new problems of bi- and tri-material junctions occurring in the material microstructure are examined, paying special attention to the role played by Mode-I and Mode-II deformation. The effects of both the properties of the matrix and of the presence of transgranular cracks on the order of stress singularities are carefully investigated. 
date: 2007
date_type: published
publication: Engineering Fracture Mechanics
volume: 74
number: 1–2
publisher: Elsevier
pagerange: 59 - 74
id_number: 10.1016/j.engfracmech.2006.01.030
refereed: TRUE
issn: 0013-7944
official_url: http://www.sciencedirect.com/science/article/pii/S0013794406000476
citation:   Carpinteri, Alberto and Paggi, Marco  Analytical study of the singularities arising at multi-material interfaces in 2D linear elastic problems.  Engineering Fracture Mechanics, 74 (1–2).  59 - 74.  ISSN 0013-7944      (2007)