Biaxial tension of a homogeneous isotropic plate with two equal coaxial cracks with regard for plastic zones near their tips

Nykolyshyn, М. М.; Opanasovych, V. K.; Kurotchyn, L. R.; Slobodyan, Mikhail

doi:10.1007/s10958-010-0015-x

Cited by 2 publications

(1 citation statement)

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“…An analysis of stress-strain state under combined bending and tension of an isotropic plate with crack is represented by Sulym et al (2018) in the assumption of line and constant width area contact between crack faces but with no plastic zones near the crack tips. In the articles by Nykolyshyn et al (2010Nykolyshyn et al ( , 2015, the tension of homogeneous isotropic plate weakened by two through cracks with plastic zones is considered. By using the method of complex potentials, the solution of the problem is reduced to linear conjugation problems and the explicit expressions for complex potentials of plane problem.…”

Section: Introductionmentioning

confidence: 99%

Pure Bending of Strip (BEAM) with Crack in Strip of Tensile Stress with Allowance for Plastic Strips Near Crack Tips

Sulym

Opanasovych

Слободян

et al. 2020

Acta Mechanica Et Automatica

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In the article, the pure bending problem for strip (beam) with straight, perpendicular to its axis crack located in the zone of tensile stresses is investigated on the assumption of narrow plastic strips near crack tips. Using methods of the theory of functions of a complex variable and complex potentials, the problem is reduced to the several linear conjunction problems. The solutions of latter problems are obtained in the class of functions confined in the edges of plastic strips. Formulas for the calculation of their lengths are derived. Expressions for the determination of crack tip opening values are written. Numerical analysis of the problem is performed.

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Section: Introductionmentioning

confidence: 99%