Комбінований згин з розтягом ізотропної пластини з наскрізною прямолінійною тріщиною за наявності пластичних зон у її вершинах з урахуванням контакту її берегів та лінійного зміцнення матеріалу

Abstract

Using methods of the theory of complex variable the problem of compatible action bending and strain of the plate is investigated, with contain the throughout linear crack, the edges of plate are contact along the line on the top basis of the plate and in its tops contain the plastic zones with regard for linear strengthening of the material. The solution of a problem is reduced to a problem of linear conjugation. We obtained a solution of the problem in the class of functions bounded at the tips of the plastic zones. We performed a numerical analysis of the problem and construct graphs of dependences of the lengths of plastic zones at different power and mechanical parameters of problem. Cite as: Alfavitska S. O., Nykolyshyn M. M., Opanasovych V. K., Slobodyan M. S. Combined bending and tension of the plate with a rectilinear through-crack in the presence of plastic zones in its tips with regard for the contact of its edges and linear strengthening of the material // Appl. Probl. Mech. Math. – 2017. – No. 15. – С. 63–70. [In Ukrainian]