Numerical Analysis of Systems of Singular Integral Equations of the First Kind with an Indefinable Index in the Problem of Diffraction of Plane Waves on a Rigid Inclusion

Панченко, Борис Евгеньевич; Kovalev, Yu. D.; Saiko, I. N.

doi:10.1007/s10559-020-00268-z

Cybern Syst Anal

2020

DOI: 10.1007/s10559-020-00268-z

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Numerical Analysis of Systems of Singular Integral Equations of the First Kind with an Indefinable Index in the Problem of Diffraction of Plane Waves on a Rigid Inclusion

Борис Евгеньевич Панченко

Yu. D. Kovalev

I. N. Saiko

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2024

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Cited by 1 publication

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Mathematical Modeling of a Symmetric Boundary-Value Problem for a Layer Weakened by a Through Hole With the Ends Covered With a Diaphragm

Panchenko,

Kovalev,

Kalinina

et al. 2024

KCA

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The paper presents a new mathematical model for the solution of a static symmetric boundary-value problem for a layer weakened by a through hole with ends covered with a diaphragm. A new method based on a system of three singular integral equations has been developed and tested numerically. As a result of a high-precision numerical study, it was found that with an increase in the thickness of the layer, an increase in the relative circumferential stress occurs. With a decrease in one of the radii of the elliptical hole, an increase in the relative circumferential stress is also observed. The paper presents the respective dependency graphs. Keywords: three-dimensional boundary-value problems, singular integral equations, numerical experiment, static stretching–compression, a through hole.

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Mathematical Modeling of a Symmetric Boundary-Value Problem for a Layer Weakened by a Through Hole With the Ends Covered With a Diaphragm

Panchenko,

Kovalev,

Kalinina

et al. 2024

KCA

View full text Add to dashboard Cite

show abstract

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Numerical Analysis of Systems of Singular Integral Equations of the First Kind with an Indefinable Index in the Problem of Diffraction of Plane Waves on a Rigid Inclusion

Cited by 1 publication

References 7 publications

Mathematical Modeling of a Symmetric Boundary-Value Problem for a Layer Weakened by a Through Hole With the Ends Covered With a Diaphragm

Mathematical Modeling of a Symmetric Boundary-Value Problem for a Layer Weakened by a Through Hole With the Ends Covered With a Diaphragm

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