Combined bending with tension of isotropic plate with crack considering crack banks contact and plastic zones at its tops

• Autorzy: Sulym H. , Opanasovych V. , Slobodian M. , Bilash O.

Identyfikatory

DOI

10.2478/ama-2018-0014

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

isotropic plate; bending; tension; crack; treska plasticity conditions

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2018
• Tom: Vol. 12, no. 2
• Strony: 91--95
• Opis fizyczny: Bibliogr. 24 poz., rys., wykr.

Twórcy

autor

Sulym H.

• Department of Mechanics and Applied Computer Science Application, Faculty of Mechanical Engineering, Bialystok University of Technology, ul. Wiejska 45 C, 15-351 Bialystok, Poland

autor

Opanasovych V.

• OPANASOVYCHFaculty of Mechanics and Mathematics, Department of Mechanics, The Ivan Franko National University of Lviv, Universytetska Street, 1, Lviv, 79000, Ukraine

autor

Slobodian M.

• Faculty of Mechanics and Mathematics, Department of Mechanics, The Ivan Franko National University of Lviv, Universytetska Street, 1, Lviv, 79000, Ukraine

autor

Bilash O.

• Faculty Training Specialists Battle (Operational) Software, Department of Engineering Mechanics (Weapons and Equipment of Military Engineering Forces), Hetman Petro Sahaidachnyi National Army Academy, Heroes of Maidan Street, 32, Lviv, Ukraine

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