A theory of one-dimensional fracture

Wang, S.; Harvey, Christopher M.

doi:10.1016/j.compstruct.2011.09.011

Cited by 28 publications

(61 citation statements)

References 21 publications

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“…Specific comments on earlier reference works, particularly [1,2,3] will be given at appropriate points in the development of the paper for the sake of easy description and 2 understanding. Various parts of the present work have been reported on several occasions by the authors [15][16][17][18][19][20][21]. The structure of the paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

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Mixed mode partition theories for one dimensional fracture

Wang

Harvey

2012

Engineering Fracture Mechanics

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The crack in a double cantilever beam is the most fundamental one-dimensional fracture problem. It has caused considerable confusions due to its in-depth subtleness and complex entanglement with different theories and numerical simulations. The present paper presents completely analytical theories based on Euler and Timoshenko beam theories using a brand new approach which reveals the hidden mechanics of the problem. Orthogonal pairs of pure modes are found and used to partition mixed modes. The developed theories are extensively validated against numerical simulations using finite element methods. Moreover, the fracture mode partition space is thoroughly investigated and crack tip running contact is found which results in a region of pure mode II. The theories are finally applied to general one-dimensional fracture in beams and axisymmetric plates.

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Section: Introductionmentioning

confidence: 99%

“…(18)(19)(20)(21) is at the crack tip B and towards to the right and the mid-plane axial displacement u is towards to the right as well. Also, note that Eq.…”

Section: Two Orthogonal Pairs Of Locally Pure Modesmentioning

confidence: 99%

Mixed mode partition theories for one dimensional fracture

Wang

Harvey

2012

Engineering Fracture Mechanics

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“…[2][3][4][5][6] also shows that in Timoshenko beam theory with either rigid or non-rigid interfaces, these two sets of modes coincide on the first set of pure modes from Euler beam theory resulting in no stealthy interaction. Furthermore, Ref.…”

Section: Development Of the Novel Methodsmentioning

confidence: 99%

“…Conclusions are made in Section 4. Based on the authors' previous work [2][3][4][5], the total ERR G is calculated as follows: The work in Refs. [2][3][4]6] has shown that in Euler beam theory with rigid interfaces, the two sets of orthogonal pure modes do not coincide and that this results in 'stealthy' interactions which change the ERR partitions I G and II G but do not change the total ERR G .…”

Section: Introductionmentioning

confidence: 99%