The plane problem of formation of a neck in the cracked plate

1Khoroshun, LP
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2015, 6:56-67
Section: Mechanics
Language: Russian

The formulation and the solution of the nonlinear problem of formation of a neck in the cracked plate under tension for the piecewise linear diagram of deformation of a material are considered. With the application of the Fourier transformation and the discretization of equations, the problem is reduced to a system of nonlinear algebraic equations. The influence of a nonlinearity on the crack opening at the top and on the neck depth distribution is investigated.

Keywords: crack opening, depth of neck, diagram of deformation, discretization, neck, nonlinear problem
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