Optimal size of a rigid thin stiffener reinforcing a Timoshenko-type plate on the outer edge

Lazarev, N. P.; Grigoryev, M. P.

doi:10.1063/1.5012655

AIP Conference Proceedings

2017

DOI: 10.1063/1.5012655

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Optimal size of a rigid thin stiffener reinforcing a Timoshenko-type plate on the outer edge

N. P. Lazarev

M. P. Grigoryev

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2020

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Unique solvability of an equilibrium problem for a Kirchhoff-Love plate with a crack along the boundary of a flat rigid inclusion

Semenova

Lazarev

2020

J. Phys.: Conf. Ser.

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A new model of an equilibrium problem for a Kirchhoff-Love plate with a flat cylindrical rigid inclusion and an interfacial crack is considered. As in previous works, we consider a rigid inclusion defined with the help of a cylindrical surface, but unlike the known models relating to the crack theory, we suppose that traces of derivatives of vertical displacements (deflections) satisfy certain boundary conditions. These conditions determine constant angles of normal fibers along an entire flat cylindrical inclusion. The interfacial crack is located on the boundary of the rigid inclusion. A condition of mutual non-penetration of opposite crack faces is given as an inequality on the crack curve. We prove the existence and uniqueness of a solution for this variational problem.

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Unique solvability of an equilibrium problem for a Kirchhoff-Love plate with a crack along the boundary of a flat rigid inclusion

Semenova

Lazarev

2020

J. Phys.: Conf. Ser.

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show abstract

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Optimal size of a rigid thin stiffener reinforcing a Timoshenko-type plate on the outer edge

Cited by 1 publication

References 17 publications

Unique solvability of an equilibrium problem for a Kirchhoff-Love plate with a crack along the boundary of a flat rigid inclusion

Unique solvability of an equilibrium problem for a Kirchhoff-Love plate with a crack along the boundary of a flat rigid inclusion

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