The plastic zone ahead of a mode II plane strain crack

Guo, Qingyu; Li, Kerong

doi:10.1007/bf00019797

Cited by 5 publications

(9 citation statements)

References 3 publications

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“…The corresponding results given by Guo where, according to [3], xe is the distance from the actual crack tip to the moving crack tip, and r0 is the distance from the moving crack tip to the elastic-plastic boundary. (Because the usual assumption that the existence of the plastic zone makes the crack tip move a distance along the crack line has been taken by Guo and Li, there is a moving crack tip in [3].) Comparing (29) with (31) we find that the two equations are coincident.…”

Section: Matching Results Near the Crack Linementioning

confidence: 99%

“…Substituting (3a, b, c) into (la, b) and (2) and collecting terms of the same order y yields Guo and Li [3] analysed this problem by using the earlier near crack line analysis method. The solution corresponding to (6a, b, c) is…”

Section: General Solutions Of Plastic Stresses Near the Crack Linementioning

confidence: 99%

“…Unlike [3], here the elastic field is unmoved. Since rp (0) is symmetric with respect to 0 = 0, for a small 0 we have…”

Section: Elastic-plastic Boundary Near the Crack Linementioning

confidence: 99%

“…The earlier works that used the near crack line analysis method to investigate the elasticplastic fields for cracks were performed by Achenbach et al [1] and [2] and by Guo et al [3]. Their analyses, however, are confined to the small scale yielding conditions, and the matching conditions used by them are questionable.…”

Section: Introductionmentioning

confidence: 99%

“…But if we forsake audio-visual misleading through simply analysing, we may find that taking the elastic stresses to fulfill the yield criterion at the elastic-plastic boundary as an essential condition of matching is incorrect, because the normal stress ass parallel to the elastic-plastic boundary might be discontinuous across there. However, in [1] to [3] such matching condition was used, the conclusion that the elastic field could not be matched with the plastic field is then inappropriate.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Precise elastic-plastic analysis of crack line field for mode II plane strain crack

Wang

Heng-Li

1996

Int J Fract

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The near crack line analysis method has been used to investigate the exact elastic-plastic solutions of a mode II crack under plane strain condition in an elastic-perfectly plastic solid. The significance of this paper is that the assumptions of the conventional small scale yielding theory have been completely abandoned. The inappropriateness of matching conditions formerly taken at the elastic-plastic boundary ha~ been corrected as well. By matching the general solution of the plastic stress (but not the special solution that was adopted) with the exact elastic stresses (but not the crack tip K-dominant field) at the elastic-plastic boundary near the crack line, the plastic stresses, the length of the plastic zone and the unit normal vector of the elastic-plastic boundary, which are sufficiently precise near the crack line region, have been given. The solutions are suitable not only under the condition that the plastic region is sufficiently small but also under the condition that the plastic region is large.

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Section: Matching Results Near the Crack Linementioning

confidence: 99%

Section: General Solutions Of Plastic Stresses Near the Crack Linementioning

confidence: 99%

“…Unlike [3], here the elastic field is unmoved. Since rp (0) is symmetric with respect to 0 = 0, for a small 0 we have…”

Section: Elastic-plastic Boundary Near the Crack Linementioning

confidence: 99%