eprintid: 1973
rev_number: 9
eprint_status: archive
userid: 56
dir: disk0/00/00/19/73
datestamp: 2013-11-29 12:09:25
lastmod: 2014-10-09 09:20:25
status_changed: 2013-11-29 12:09:25
type: article
metadata_visibility: show
creators_name: Carpinteri, Alberto
creators_name: Paggi, Marco
creators_id: 
creators_id: marco.paggi@imtlucca.it
title: Asymptotic analysis in Linear Elasticity: from the pioneering studies by Wieghardt and Irwin until today 
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Stress-singularity; Re-entrant corners; Power-law hardening materials; Fractal cracks; Multi-material junctions and wedges; Nonhomogeneous materials
note: Invited paper presented at the Karl Wieghardt & George R. Irwin Centenary Conference on Structural Integrity in the Service of Public Safety, Vienna, Austria, 2007
abstract: The asymptotic analysis of the stress distribution around an elastic wedge-shaped domain is one of the most fundamental problems in Linear Elasticity. In occasion of the century anniversary of the pioneering paper by Wieghardt on splitting and cracking of elastic bodies, and of the half-a-century anniversary of the Irwin’s paper on the analysis of stresses and strains near the end of a crack, we propose a review of the most important contributions leading to fundamental advances in this research field. Special focus will be given to the epistemological steps towards a full appreciation of the mathematical and engineering relevance of the stress-singularities. We also provide the reader with a review of the geometrical configurations and mechanical conditions that can relieve or remove the singularities, including: re-entrant corners; power-law hardening constitutive laws; fractal cracks; multi-material junctions and wedges; nonhomogeneous materials. 
date: 2009
date_type: published
publication: Engineering Fracture Mechanics
volume: 76
number: 12
publisher: Elsevier
pagerange: 1771 - 1784
id_number: 10.1016/j.engfracmech.2009.03.012
refereed: TRUE
issn: 0013-7944
official_url: http://www.sciencedirect.com/science/article/pii/S0013794409000952
citation:   Carpinteri, Alberto and Paggi, Marco  Asymptotic analysis in Linear Elasticity: from the pioneering studies by Wieghardt and Irwin until today.  Engineering Fracture Mechanics, 76 (12).  1771 - 1784.  ISSN 0013-7944      (2009)