Non-singular dislocation elastic fields and linear elastic fracture mechanics

Alexander M. Korsunsky

Результат исследований: Глава в книге, отчете, сборнике статейМатериалы для конференциирецензирование

1 Цитирования (Scopus)


One of the hallmarks of the traditional linear elastic fracture mechanics (LEFM) is the presence of an (integrable) inverse square root singularity of strains and stresses in the vicinity of the crack tip. It is the presence of this singularity that necessitates the introduction of the concepts of stress intensity factor (and its critical value, the fracture toughness) and the energy release rate (and material toughness). This gives rise to the Griffith theory of strength that includes, apart from applied stresses, the considerations of defect size and geometry. A highly successful framework for the solution of crack problems, particularly in the two-dimensional case, due to Muskhelishvili (1953), Bilby and Eshelby (1968) and others, relies on the mathematical concept of dislocation. Special analytical and numerical methods of dealing with the characteristic 1/r (Cauchy) singularity occupy a prominent place within this theory. Recently, in a different context of dislocation dynamics simulations, Cai et al. (2006) proposed a novel means of removing the singularity associated with the dislocation core, by introducing a blunting radius parameter a into the expressions for elastic fields. Here, using the example of two-dimensional elasticity, we demonstrate how the adoption of the similar mathematically expedient tool leads naturally to a non-singular formulation of fracture mechanics problems. This opens an efficient means of treating a variety of crack problems.

Язык оригиналаАнглийский
Название основной публикацииCurrent Themes in Engineering Science 2009 - Selected Presentations at the World Congress on Engineering - 2009
Число страниц10
СостояниеОпубликовано - 2010
Опубликовано для внешнего пользованияДа
СобытиеWorld Congress on Engineering, WCE - London, Великобритания
Продолжительность: 1 июл. 20093 июл. 2009

Серия публикаций

НазваниеAIP Conference Proceedings
ISSN (печатное издание)0094-243X
ISSN (электронное издание)1551-7616


КонференцияWorld Congress on Engineering, WCE


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