1975
DOI: 10.1007/bf01533638
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Life of thermally stressed machine parts

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Cited by 16 publications
(16 citation statements)
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“…The Kirsch problem is of particular interest because elliptical cutouts are key design features in various engineering applications. In addition to practical interest, this problem has an analytical solution in the classical case, based on which the maximum stress level at the upper and lower points of the ellipse is equal to [29] σ¯11maxbadbreak=()1+2R2R1trueσ,$$\begin{equation} \overline{\sigma }_{11}^{max} = {\left(1 + 2 \frac{R_2}{R_1} \right)} \widetilde{\sigma }, \end{equation}$$where σ$\widetilde{\sigma }$ is the tensile stress. Having carried out a series of computational experiments, Table 1 with the values of the maximum stress level depending on the ratio of the lengths of the notch semiaxes and the weight parameter p 1 was obtained.…”
Section: Calculation Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The Kirsch problem is of particular interest because elliptical cutouts are key design features in various engineering applications. In addition to practical interest, this problem has an analytical solution in the classical case, based on which the maximum stress level at the upper and lower points of the ellipse is equal to [29] σ¯11maxbadbreak=()1+2R2R1trueσ,$$\begin{equation} \overline{\sigma }_{11}^{max} = {\left(1 + 2 \frac{R_2}{R_1} \right)} \widetilde{\sigma }, \end{equation}$$where σ$\widetilde{\sigma }$ is the tensile stress. Having carried out a series of computational experiments, Table 1 with the values of the maximum stress level depending on the ratio of the lengths of the notch semiaxes and the weight parameter p 1 was obtained.…”
Section: Calculation Resultsmentioning
confidence: 99%
“…The uniform mesh 𝑆 ℎ is introduced with the characteristic element size ℎ = 0.005, the following boundary conditions are given The Kirsch problem is of particular interest because elliptical cutouts are key design features in various engineering applications. In addition to practical interest, this problem has an analytical solution in the classical case, based on which the maximum stress level at the upper and lower points of the ellipse is equal to [29]…”
Section: Kirsch Problem With Generalization To Elliptic Cutoutsmentioning
confidence: 99%
“…Note also that the use of the finite element method for the solution of problems of fracture mechanics is widely used [17].…”
Section: Methodsmentioning
confidence: 99%
“…In [12], the authors investigated the kinematic-working scheme of the SC and the results of studying the effect of the technological load on the bending of the SC shaft, a method for calculating the deflection and technological parameters (clearances), in particular, between the SC saws and the grate, which should be set in accordance technological regulations. The process of bending oscillations of the SC of a fiber separator is considered, the design of which consists of steel saws and aluminum spacers sequentially mounted on a steel shaft.…”
Section: Introductionmentioning
confidence: 99%