Determination of the stress-strain state and conditions of fatigue crack initiation in a rectangular plate with a hole

Panasyuk, V. V.; Ivanitskaya, G. S.; Zboromirskii, A. I.; Iyanovich, M. V.; Ostash, О. P.; Kostyk, E. M.

doi:10.1007/bf00722010

Cited by 2 publications

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“…When solving such problems the method of singular integral equations due to Savruk [13] was used for cracked plates. The object considered in these investigations is a rectangular plate with a central hole [14] and a disc with an edge notch [15,16], the latter simulating a round compact tension specimen.…”

Section: (1)mentioning

confidence: 99%

“…Consequently the formulae for a,, stress determination were found and their values along the x axis (depending on the force application point coordinates and the hole radius) were determined. It is shown [14] that when the plate dimensions are such that the ratio a / b 2 3 and the forces are applied at the distance yo 2 2.6a, then it may be identified with a strip, stretched at infinity by a uniformly distributed load.…”

Section: N ( T K ) + It(tk) = O ( T E Lk); Kmentioning

confidence: 99%

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A New Approach to the Determination of the Macrocrack Nucleation Period Near a Stress Concentrator

Panasyuk

Ivanitska

Ostash

1993

Fatigue Fract Eng Mat Struct

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The stress-strain state of a rectangular plate with a central circular hole and a disc with an edge notch is analyzed both for elastic and elastic-plastic behaviour when cracks emanate from the contours of these concentrators. Stress intensity factors are determined as well as the value of the inelastic deformation at stress concentration zones. The parameters describing the process of crack nucleation are established. The computational results are compared with experimental data when evaluating the period of macrocrack nucleation. NOMENCLATURE a,b = plate length and width d* = the material constant E = Young's modulus G = elastic shear modulus h = thickness of a plate or a disc K, = stress intensity factor (SIF) for the opening mode crack K,$ = SIF for the opening mode of a crack emanating from the concentrator L, = concentrator contour (K = 0); plate or disc contour ( K = I); crack contour ( K = 2.3) I = crack length 1, = length of equivalent crack f , = length of plastic zone 1, = length of a crack emanating from the concentrator N, = number of loading cycles before crack nucleation N ( t K ) , T(tK) = stress components on the L, contour R = disc radius or hole radius in the plate t , = current coordinate of the contour L, u(t,), o(t,) = displacement vector components S , , 86, = notch tip opening displacement (NTOD) and NTOD range (in point A) p = Poisson ratio p = notch radius in the disc uys = yield stress of the material u : , Au:= normal stress and normal stress range at the characteristic distance d* from the concentrator tip uyvmax = maximum stress at the concentrator tip uy(x) = normal stress component along the concentrator axis O(z), Y ( 2 ) = Kolosov-Muskhelishvili complex stress function

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Section: (1)mentioning

confidence: 99%

Section: N ( T K ) + It(tk) = O ( T E Lk); Kmentioning

confidence: 99%