The Effect of Circular Hole on Stress-Strain State of Uniformly Stretched Plate

The analysis of plates and shells, which are elements of different structures implies the elastic behavior of their stress-strain state. In some cases, off-design operation mode of structures leads to abnormal stress redistribution, which in some areas arises from plastic deformation. Such stress concentrators are different-purpose round and oval holes with welded spigots and taps, holes for rivets and bolts, various cut-outs, rigid inclusions, weld seams, etc. Therefore, a detailed stress-strain analysis is required for these zones when designing and calculating the structural strength. The paper presents two-dimensional analysis of the problem and three-dimensional computations using the variation difference method. Geometrical correlations are presented by Cauchy equations. Physical relations are assumed as non-linear and described by Ilyushin’s deformation plasticity theory, although in solving the displacement problem the live load does not result in plastic deformations.

круглое отверстие, пластина, принцип Сен-Венана, предел упругости, вариационно-разностный метод, метод упругих решений, граничные условия, упругие и упругопластические деформации, перемещения, напряжения, численные расчёты и результаты, round hole, plate, Saint Venants' principle, elastic strength, variation difference method, elastic solution method, boundary conditions, elastic and elastoplastic deformation, displacement, stress, numerical calculations

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