Bending of Reissner’s plate containing a through-the-thickness crack by concentrated moments taking into account the width of a contact zone of its faces

Opanasovych, V. K.; Yatsyk, I. M.; Sulym, Heorhiy

doi:10.1007/s10958-012-1088-5

Cited by 3 publications

(1 citation statement)

References 13 publications

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“…The model of smooth contact of crack faces along a line along the entire length of cracks (linear contact) was used in works [7][8][9]. The model of smooth contact of crack faced along a region of constant width (strip contact) is used in works [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Bending of a plate with circular rigid inclusion and system of cracks on the assumption of strip crack face contact

Слободян

Bilash

Seliverstov

et al. 2023

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

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The article presents a solution to the bending problem for an infinite isotropic plate with a circular rigid inclusion and arbitrarily oriented straight through cracks. It is assumed that under the action of an external load at infinity, the faces of all cracks are in smooth contact along a region of constant width near the upper surface of the plate. The solution is obtained using methods of the theory of functions of complex variable and complex potentials and is reduced to a system of singular integral equations, which is numerically solved by the mechanical quadrature method. On the basis of numerical analysis, the graphical dependences of the contact force, forces and moments intensity factors are constructed at various parameters of the problem.

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Section: Introductionmentioning

confidence: 99%

Bending of a plate with circular rigid inclusion and system of cracks on the assumption of strip crack face contact

Слободян

Bilash

Seliverstov

et al. 2023

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

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Contact of faces of a rectilinear crack under complex loading and various contact conditions

Острик

2019

Acta Mech

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A Circular Inclusion and Two Radial Coaxial Cracks with Contacting Faces in a Piecewise Homogeneous Isotropic Plate Under Bending

Sulym

Opanasovych

Zvizlo

et al. 2020

Acta Mechanica Et Automatica

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The bending problem of an infinite, piecewise homogeneous, isotropic plate with circular interfacial zone and two coaxial radial cracks is solved on the assumption of crack closure along a line on the plate surface. Using the theory of functions of a complex variable, complex potentials and a superposition of plane problem of the elasticity theory and plate bending problem, the solution is obtained in the form of a system of singular integral equations, which is numerically solved after reducing to a system of linear algebraic equations by the mechanical quadrature method. Numerical results are presented for the forces and moments intensity factors, contact forces between crack faces and critical load for various geometrical and mechanical task parameters.

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Bending of Reissner’s plate containing a through-the-thickness crack by concentrated moments taking into account the width of a contact zone of its faces

Cited by 3 publications

References 13 publications

Bending of a plate with circular rigid inclusion and system of cracks on the assumption of strip crack face contact

Bending of a plate with circular rigid inclusion and system of cracks on the assumption of strip crack face contact

Contact of faces of a rectilinear crack under complex loading and various contact conditions

A Circular Inclusion and Two Radial Coaxial Cracks with Contacting Faces in a Piecewise Homogeneous Isotropic Plate Under Bending

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