<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Stress-strain state of isotropic plate with rectilinear through-crack at combined action of bending and tension, realized by applying distributed forces and bending moments at infinity, the vectors of which are parallel and perpendicular to the crack, is investigated. Under the influence of the internal stress the crack faces contacts on area of constant width near the upper base of plate, and plastic zones forms in its tips. Using methods of the theory of complex variables, complex potentials plane problem of elasticity theory and the classical theory of plates bending, solving of the problem is reduced to the set of linear conjugation problems and their analytical solution is built in a class of functions of limited plastic zones in the crack tips. The conditions of existence of the solution of the problem in these terms are determined. Using Treska plasticity conditions in the form of surface layer or the plastic hinge, the length of plastic zone and crack opening displacement are found analytically. Their numerical analysis for various parameters of the problem is conducted.</p></abstract>

Stress-strain state of isotropic plate with rectilinear through-crack at combined action of bending and tension, realized by applying distributed forces and bending moments at infinity, the vectors of which are parallel and perpendicular to the crack, is investigated. Under the influence of the internal stress the crack faces contacts on area of constant width near the upper base of plate, and plastic zones forms in its tips. Using methods of the theory of complex variables, complex potentials plane problem of elasticity theory and the classical theory of plates bending, solving of the problem is reduced to the set of linear conjugation problems and their analytical solution is built in a class of functions of limited plastic zones in the crack tips. The conditions of existence of the solution of the problem in these terms are determined. Using Treska plasticity conditions in the form of surface layer or the plastic hinge, the length of plastic zone and crack opening displacement are found analytically. Their numerical analysis for various parameters of the problem is conducted.

Combined Bending with Tension of Isotropic Plate with Crack Considering Crack Banks Contact and Plastic Zones at its Tops

Department of Mechanics and Applied Computer Science Application, Faculty of Mechanical Engineering

Faculty of Mechanics and Mathematics, Department of Mechanics

The Ivan Franko National University of Lviv

Faculty Training Specialists Battle (Operational) Software, Department of Engineering Mechanics (Weapons and Equipment of Military Engineering Forces), Hetman Petro Sahaidachnyi National Army Academy

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Stress-strain state of isotropic plate with rectilinear through-crack at combined action of bending and tension, realized by applying distributed forces and...

Combined Bending with Tension of Isotropic Plate with Crack Considering Crack Banks Contact and Plastic Zones at its Tops

Published Online: Jul 17, 2018

Page range: 91 - 95

Received: Mar 13, 2017

Accepted: May 15, 2018

DOI: https://doi.org/10.2478/ama-2018-0014

Keywords
Isotropic Plate, Bending, Tension, Crack, Treska Plasticity Conditions

© 2018 Heorgij Sulym et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Combined Bending with Tension of Isotropic Plate with Crack Considering Crack Banks Contact and Plastic Zones at its Tops

Published Online: Jul 17, 2018

Page range: 91 - 95

Received: Mar 13, 2017

Accepted: May 15, 2018

DOI: https://doi.org/10.2478/ama-2018-0014

KeywordsIsotropic Plate, Bending, Tension, Crack, Treska Plasticity Conditions

© 2018 Heorgij Sulym et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Isotropic Plate, Bending, Tension, Crack, Treska Plasticity Conditions