Stress State in a Finite Cylinder with Outer Ring-Shaped Crack at Non-stationary Torsion

Demydov, Oleksandr; Попов, В. Г.

doi:10.1007/978-3-030-21894-2_41

Cited by 2 publications

(3 citation statements)

References 7 publications

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“…Until now, such a problem has been considered for the harmonic moment [18]. The authors of this paper also solved problems with a similar statement for a cylinder with a ring-shaped crack [24] and a cylinder with different types of delamination [25].…”

Section: Introductionmentioning

confidence: 90%

“…The solution to this boundary value problem is constructed by the integral transform method, analogous to papers [24,25] and it has the form:…”

Section: Problem Formulationmentioning

confidence: 99%

“…Equation ( 13) contains unknown A ν , equation ( 8) should be used to determine it. An approximate solution to equation (13), as in [24,25], is sought in the form of an interpolation polynomial.…”

Section: Problem Formulationmentioning

confidence: 99%

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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: 90%

“…The solution to this boundary value problem is constructed by the integral transform method, analogous to papers [24,25] and it has the form:…”

Section: Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

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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Stressed state “boundary layer” in a round plate of variable thickness according to refined theory

Firsanov

Doan

Bui³

2020

IOP Conf. Ser.: Mater. Sci. Eng.

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Based on the refined theory, the edge stress state of an isotropic round plate of variable thickness under the influence of local load was considered. In constructing the mathematical model of the plate, three-dimensional equations of the theory of elasticity and the variation Lagrange principle were used. Displacements were represented in the form of polynomials along with the coordinate normal to the middle surface, which was two degrees higher than the classical theory of the Kirchhoff – Love type. The resolving system of equations includes eleven ordinary differential equations with variable coefficients. The solution of the formulated boundary-value problem was carried out by finite difference methods and matrix sweeps. The deformations and tangential stresses of the plate were determined from the corresponding geometric and physical equations of the elasticity theory. This article has been focused on identifying the stress state of the boundary layer type near rigidly and elastically fixed edges by the round plate where the destruction of thin-walled structural elements in machinery, including aviation and space technology, takes place.

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Stress State in a Finite Cylinder with Outer Ring-Shaped Crack at Non-stationary Torsion

Cited by 2 publications

References 7 publications

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

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

Stressed state “boundary layer” in a round plate of variable thickness according to refined theory

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