|1Khoroshun, LP |
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
|Dopov. Nac. akad. nauk Ukr. 2015, 6:56-67|
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|
- Sneddon J.N., Berry D. S. The classical theory of elasticity, Berlin: Springer, 1958.
- Gulyaev A. P. Metal science, Moscow: Metallurgy, 1986 (in Russian).
- Khoroshun L. P. Int. Appl. Mech., 2010, 46, No 11: 1238–1252. https://doi.org/10.1007/s10778-011-0416-7
- Khoroshun L. P., Levchuk O. I. Int. Appl. Mech., 2014, 50, No 2: 128–140. https://doi.org/10.1007/s10778-014-0617-y