Stressed state of a cylinder with external circular crack under dynamic torsion

Ivanyts’kyi, Ya. L.; Boiko, V. M.; Khodan, I. V.; Shtayura, S. T.

doi:10.1007/s11003-007-0023-2

Cited by 7 publications

(1 citation statement)

References 5 publications

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“…A possible explanation is the complexity and incorrectness of the Laplace transform numerical inversion. Mixed numerical-experimental methods make it possible to avoid these difficulties [19][20][21][22]. However, the need for numerous experiments and the preparation of samples makes these methods more complicated and more expensive than numerical-analytical ones, and practically inapplicable for internal defects cases.…”

Section: Introductionmentioning

confidence: 99%

Modelling and investigation of the stress state in a finite cylinder with a circular crack under sudden torsional loading

Demydov

Попов

2022

J. Phys.: Conf. Ser.

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This paper is devoted to the analysis of the dynamic stress state of a finite cylinder with an internal circular crack. One of the cylinder’s bases is fixed, and a time-dependent torque is applied to the other base. For solving this problem, a modified finite difference method was applied. This method consists in the difference approximation of only the time derivative. As a result, the original problem is reduced to a set of sequentially solved homogeneous boundary value problems. Their solutions contain an unknown displacement jump on the crack. The integral equation for the unknown jump is reduced to the Fredholm integral equation of the second kind, which was solved numerically. This numerical solution made it possible to obtain an approximate formula for calculating the stress intensity factor (SIF).

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Section: Introductionmentioning

confidence: 99%