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Liebowitz, H.

Publications and source records attributed to Liebowitz, H..

31 records · Page 2
All sourcesNASA NTRSDOE OSTI
NASA NTRS1976

A study of the effect of subcritical crack growth on the geometry dependence on nonlinear fracture toughness parameters

The effect of subcritical crack growth on the geometry dependence of nonlinear fracture toughness parameters was studied by comparing the toughness values for different specimen geometries at the onset of subcritical crack growth and at the initiation of unstable crack propagation. Center-cracked thin sheet specimens of 2024-T3 and 7075-T6 aluminum alloys were tested by varying the specimen length L, width w, and crack length-to-width ratio c/w. When the onset of unstable crack propagation was selected as the critical point, the nonlinear energy toughness and the R curve toughness increased with increasing w and decreasing L and c/w. However, when the onset of subcritical crack growth was taken as the critical point, energy toughness and the linear toughness values were independent of these geometrical variables.

Jones, D. L.↗
NASA NTRS1975

On fracture toughness in the nonlinear range

A general definition of fracture toughness is developed which is appropriate to situations of subcritical crack growth and/or large-scale crack border plastic yield. The theoretical basis as well as comparisons with other proposed measures of fracture toughness are discussed. A simple method is given for evaluating fracture toughness which is based on use of the load-displacement test record.

Eftis, J.↗
NASA NTRS1975

On fracture toughness evaluation for semi-brittle fracture

The existing methods of assessing the fracture toughness of materials exhibiting semi-brittle fracture are critically reviewed. The methods concern the Crack Growth Resistance (R-curve), the Crack Opening Displacement (COD), and the J-integral. An analysis of the shortcomings of the methods described makes it possible to formulate a new definition of fracture toughness appropriate to semi-brittle fracture. An improved simple experimental method for measuring fracture toughness for semi-brittle fracture is proposed which takes into account both crack growth and plastic nonlinear effects at crack front. The proposed method is shown to be free of the theoretical and experimental discrepancies encountered in the R-curve, COD, and J-integral methods.

Eftis, J.↗
NASA NTRS1975

Effect of crack initiation, stable crack growth and unstable crack propagation on the crack-tip plastic zone

A technique for measuring the plastic zones associated with initial crack-tip yielding, subcritical crack growth, and unstable fracture is discussed. The results of the measurement of the locus of these yield regions, on center-cracked sheet and compact tension specimens of 7075-T6, 7075-T651, and 2024-T3 aluminum, are reported in this paper. It was found that a very accurate representation of the strains was obtained by this method and that the results added significant insight into the fracture process. The plastic zones were found to be approximately eight times wider in 2024-T3 than in the 7075-T6 sheets. The yield zones approached a maximum value after unstable fracture was attained and maintained that size through the fast fracture region. As expected, the plastic zones in the compact tension specimen were associated only with the formation of the shear lips and no plastic zones were observed in the fatigue precracked regions of either the center-cracked or compact-tension specimens.

Poulose, P. K.↗
NASA NTRS1974

Theoretical and experimental comparisons of the nonlinear energy method to the J-integral, R-curve and COD methods in fracture toughness testing

Because of the current high degree of interest in the development of a standard nonlinear test method, analytical and experimental comparisons have been made between the R-curve, COD, J-integral and nonlinear energy methods. A general definition of fracture toughness is proposed and the fundamental definitions of each method are compared to it. Experimental comparisons between the COD, J-integral, nonlinear energy and standard ASTM methods have been made for a series of compact tension tests on several aluminum alloys. Some of the tests were conducted according to the ASTM standard method E399-72, while the specimen thickness was reduced below the minimum requirement for plane strain fracture toughness testing for several other test series. The fracture toughness values obtained by the COD method were significantly higher than the toughness values obtained by the other three methods. All of the methods displayed a tendency to yield higher toughness values as the thickness was decreased below the ASTM plane strain requirement.

Liebowitz, H.↗
NASA NTRS1973

A microscopic study of crack initiation mechanisms in 7075 aluminum alloy sheets.

A study of the opening mode of crack initiation in 7075-T6 aluminum alloy sheets has been conducted with the aid of a scanning electron microscope. Observations were made from several orientations, including the top view of the specimen which showed the notch profile and the edge view of the specimen which showed the entire notch front along the specimen thickness. It was found that the edge view exhibited the first signs of permanent deformation at about 55% of the breaking strength. These changes took the form of deformation bands which were aligned in the direction of the tensile axis and apparently defined limiting regions of homogeneous slip. It is felt that the appearance of microcracks at loads approaching the breaking strength was of fundamental importance in the formation of the final fracture surface. Many of these microcraks were initiated at intermetallic particles and other metallurgically weak regions on the notch surface. It was also possible to correlate the strain in the notch with the stress intensity factor for the various loads. Very large plastic strains were observed on the notch tip as compared to published values of elongation at fracture for unnotched specimens.

Jones, D. L.↗
NASA NTRS1972

On the modified Westergaard equations for certain plane crack problems.

An error in Westergaard's (1939) equation for a certain class of plane crack problems, originally pointed out by Sih (1966) is briefly discussed anew. The source of the difficulty is traced to an oversight in an earlier work by MacGregor (1935) upon whose work Westergaard based his equations. Several examples of interest, illustrating the consequences of the necessary correction to these equations, are given.

Eftis, J.↗
NASA NTRS1972

On the modified Westergaard equations for certain plane crack problems

An error in Westergaard's equation for a certain class of plane crack problems, originally pointed out by Sih, is briefly discussed. The source of the difficulty is traced to an oversight in an earlier work by MacGregor, upon whose work Westergaard based his equations. Several examples of interest illustrating the consequences of the necessary correction to these equations are given.

Eftis, J.↗
NASA NTRS1972

Correcting for nonlinear effects in fracture toughness testing.

Expressions for fracture toughness, which include nonlinear effects due to crack front plastic yield and possible small crack extension prior to fracture instability, are obtained for several test specimen configurations. Inclusion of such effects is based on a simple compliance type determination of the total energy rate at onset of fast fracture.

Liebowitz, H.↗
NASA NTRS1971

On nonlinear effects in fracture mechanics.

Linear elastic treatment of fracture is considered applicable for net section stress up to about 0.8 the uniaxial tensile yield stress. Crack front plastic yield is still small enough to be viewed and treated as a small perturbation to the local crack front elastic stress field. Assuming these same circumstances and adopting the same point of view, an approach is presented for incorporating the nonlinear effects of small scale crack front plastic yield and slow crack extension in determination of the energy release rate and fracture toughness. Deviation from linearity of the load-displacement record in a fracture toughness test offers a quantifiable measure of these effects and is used to calculate the energy release rate. Fracture toughness values for one-eight inch thick 7075-T6 center cracked aluminum sheet are compared with uncorrected values and with values obtained by the Irwin method of plasticity correction.

Liebowitz, H.↗