The J-integral and tearing modulus for a sen specimen under bending and tension

Kaiser, Sten

doi:10.1016/0013-7944(85)90104-3

Cited by 6 publications

(5 citation statements)

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“…The criterion for unstable crack growth corresponding to equation (6) is aJ/(aU/P) 2 aJR/aAa. (7) In cases when the crack growth cannot be described by one parameter, the instability question becomes more involved. In such cases J at a certain point s on the crack border will in general depend on the crack extensions at all other points of the border.…”

Section: Some Concepts Of Non-linear Fracture Mechanicsmentioning

confidence: 99%

Elastic‐plastic Fracture Mechanics for Pressure Vessel Design

Nilsson

Faleskog

Заремба

et al. 1992

Fatigue Fract Eng Mat Struct

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The project has been concerned with the verification of the J-philosophy for initiation and growth of cracks on laboratory type specimens as well as on larger surface cracked plates. The analysis of the experiments involved extensive fully three-dimensional finite element calculations. It was found that the.initiation events for the six surface cracked plates occurred at approximately the same J-value. A corksponding relation to the laboratory type specimen was less successful, mainly because of the short-comings of current methods for J,,-evaluations. A somewhat puzzling feature of the surface crack experiments was that unstable crack growth occurred immediately after crack growth initiation in four out of six tests, while some amount of stable crack growth was evident in the remaining two and in all of the laboratory type specimens. An evaluation of the surface experiments by a type of Rdanalysis was also performed. Using as K,, the mean value from the surface crack experiments, it was found that the R6-method yielded conservative predictions. NOMENCLATUREJ = path-independent integral JD = deformation theory value of J JF = flow theory value of J J, = critical value of J JQ = provisional critical value of J J,, = averaged value of J Au = crack growth increment P = load K, = stress-intensity parameter in the R6-method L, = limit load parameter in the R6-method P, = limit load JR = resistance value of J Kl = stress intensity factor K,, = critical value of the stress intensity factor K, = fracture toughness w = deformation work density n, = unit normal vector ui = displacement vector crii = stress tensor E~ = strain tensor C = integration contour A = integration surface s = line coordinate along crack front r = distance from crack border E = Young's modulus v = Poisson's ratio uY = yield strength N =tensile normal load M = bending moment g = non-dimensional constant in J-evaluation formula VJ = specimen width 73 74 FRED NILSON et al. t = specimen thickness 6 = specimen displacement 6 , = plastic part of specimen displacement a, = initial crack length @ , = plastic part of specimen rotation & = initial slant angle e = initial offset a = crack depth I = crack length a = aspect ratio of crack axes y = relative crack depth N, = limit normal force

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Section: Some Concepts Of Non-linear Fracture Mechanicsmentioning

confidence: 99%

Elastic‐plastic Fracture Mechanics for Pressure Vessel Design

Nilsson

Faleskog

Заремба

et al. 1992

Fatigue Fract Eng Mat Struct

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“…The latter problem was treated for proportional loading in [1] and extended to non-proportional loading in [2]. Another problem is to derive formulas in which the J-integral is expressed in terms of loads and displacements so it can be determined experimentally.…”

Section: The J-integralmentioning

confidence: 99%

“…An upper bound solution to (A11) can be determined by using the limit loads in bending and tension described in [1] (originally from a model by Rice)…”

Section: B Klas~n and S Kaisermentioning

confidence: 99%

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Studies of stable crack growth under two independent loads

Klasén¹,

Kaiser

1988

Int J Fract

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SEN specimens of two different materials were tested under different combinations of independently applied bending and tension. JR-curves were determined and showed to be independent of the load combinations. Stability analysis using the tearing modulus concept showed to be possible but difficult.Thus J can be calculated from load displacement curves in bending and tension with ~/and b updated. Since (1) is not corrected for crack growth and b is kept inside the integral the 262 B. Klas~n and S. Kaiser resulting J is similar to the modified J proposed by Ernst [4]. The question whether to update J for crack growth or not, was not, however, especially crucial in these tests since only one geometry was tested and the crack growth was relatively moderate.

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“…Instability is then recognized by the crack growing under constant total load PT. With K,i as the stiffnesses of the parallel springs, PT is given in (4). If P is a function of displacements and crack length as before (17) …”

Section: Controlled Loadmentioning

confidence: 99%

An extension of the tearing instability theory to multiple loading parameters

Kaiser

1985

Int J Fract

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The stability of a cracked, nonlinear component connected to an elastic structure and subjected to an arbitrary number of controlled loads or displacements, is discussed. First this is done with a general instability criterion expressed in terms of loads and displacements of the cracked part. Then general expressions for the tearing modulus are given for different loading situations. Finally the given equations are applied to SEN specimens under bending and tension.

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The J-integral and tearing modulus for a sen specimen under bending and tension

Cited by 6 publications

References 1 publication

Elastic‐plastic Fracture Mechanics for Pressure Vessel Design

Elastic‐plastic Fracture Mechanics for Pressure Vessel Design

Studies of stable crack growth under two independent loads

An extension of the tearing instability theory to multiple loading parameters

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