Напружено-деформований стан пластини з тріщиною та колінеарною щілиною за згину на пружній основі

• Date: 2023
• Main Authors: Даляк, Тарас, Маковійчук, Микола
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2023
• Subjects: пластина; пружна основа; тріщина; щілина; колінеарні дефекти; згин; закриття тріщини
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/241
• Journal Title: Physico-mathematical modeling and informational technologies

The problem of the interaction of two collinear defects - a closure-capable crack and a slot whose edges do not contact in the bending process of a plate on an elastic Winkler base is considered in the twodimensional formulation. Crack closure is described using the contact model along a line in the facial surface of the plate. By the slot, we mean a section with stress-free surfaces, on which, in the accepted problem formulation, a negative jump of displacements in the zone of compressive stresses is allowed. The problem was solved using the method of singular integral equations and the numerical method of quadrature. The coefficients of the intensity of forces and moments in the inner and outer vertices of the crack and the slot were calculated. The distribution of the contact reaction along the crack line as well as the influence of the elastic base, the interaction of defects, and the contact of the crack edges on the stress-strain state of the plate, were studied