DOI: 10.1002/nme.1620151002. Stress‐intensity factor computation in three dimensions with quarter‐point elements

Stress‐intensity factor computation in three dimensions with quarter‐point elements

10.1002/nme.1620151002

Crossref journal-article

Wiley

International Journal for Numerical Methods in Engineering (311)

Abstract

AbstractA consistent method for computing stress‐intensity factors from three‐dimensional quarter‐point element nodal displacements is presented. The method is generalized to permit functional evaluation of stress‐intensity factors along the crack front. Embedded, surface, and corner crack problems are solved using the proposed technique. Results are compared to previous finite element and boundary element solutions. The comparison shows that use of the functional evaluation technique allows a dramatic decrease in problem size while still maintaining engineering accuracy. Next, a three‐dimensional stress‐intensity factor calibration of an unusual specimen configuration is presented. By taking advantage of the proposed technique, the calibration was performed with little difference in cost over the more usual two‐dimensional approach. Moreover, the three‐dimensional solution revealed intersting behaviour that would have been undetected by a two‐dimensional solution. Finally, the results of a study on optimum size of the quarter‐point element are presented. Surprisingly, Poisson ratio is shown to have marked effect on optimum element size.

Bibliography

Ingraffea, A. R., & Manu, C. (1980). Stressâintensity factor computation in three dimensions with quarterâpoint elements. International Journal for Numerical Methods in Engineering, 15(10), 1427â1445. Portico.

Authors 2

Anthony R. Ingraffea (first)
Corneliu Manu (additional)

References 20 Referenced 199

10.1002/nme.1620100103
10.1007/BF00034654
10.1002/nme.1620110217
{'key': 'e_1_2_1_5_2', 'volume-title': 'Finite Element Methods in Stress Analysis', 'author': 'Zienkiewicz O. C.', 'year': '1969'} / Finite Element Methods in Stress Analysis by Zienkiewicz O. C. (1969)
10.1002/nme.1620110109
{'key': 'e_1_2_1_7_2', 'volume-title': 'Fracture', 'author': 'Sih G. C.', 'year': '1968'} / Fracture by Sih G. C. (1968)
10.1061/JSDEAG.0004552 / Proc. A.S.C.E., J. Struct. Div. / Three‐dimensional fracture mechanics analysis by Cruse T. A. (1977)
K. J.Bathe E. L.WilsonandF. E.Peterson ‘IV. Structural analysis program for static and dynamic response of linear systems’ Report No. EERC73‐11 Earthquake Engineering Research Center College of Engineering University of California Berkeley June1973 Revised April 1974.
10.1017/S0305004100025585
G. R.Irwin ‘Crack‐extension force for a part‐through crack in a plate’Trans. A.S.M.E. J. Appl. Mech. Ser. E 29 Dec. 651–654(1962). (10.1115/1.3640649)
R. E.Rowe ‘Fracture mechanics and safe life design’ Report DAC59591 Douglas Aircraft Corporation August1970.
{'key': 'e_1_2_1_13_2', 'first-page': '1445', 'volume-title': 'Proc. Int. Conf. on Fracture Mechanics and Technology', 'author': 'Tong P.', 'year': '1977'} / Proc. Int. Conf. on Fracture Mechanics and Technology by Tong P. (1977)
10.1007/BF00049217
{'key': 'e_1_2_1_15_2', 'first-page': '322', 'volume-title': 'Proc. 1st Int. Conf. on Numerical Methods in Fracture Mechanics', 'author': 'Murakami Y.', 'year': '1978'} / Proc. 1st Int. Conf. on Numerical Methods in Fracture Mechanics by Murakami Y. (1978)
{'key': 'e_1_2_1_16_2', 'first-page': '249', 'volume-title': 'Proc. 1st Int. Conf. on Numerical Methods in Fracture Mechanics', 'author': 'Yagawa G.', 'year': '1978'} / Proc. 1st Int. Conf. on Numerical Methods in Fracture Mechanics by Yagawa G. (1978)
10.1115/1.3607862
10.1007/978-94-017-2260-5_4
{'key': 'e_1_2_1_19_2', 'first-page': '363', 'volume-title': 'Proc. 1st Int. Conf. on Numerical Methods in Fracture Mechanics', 'author': 'Pian T. H. H.', 'year': '1978'} / Proc. 1st Int. Conf. on Numerical Methods in Fracture Mechanics by Pian T. H. H. (1978)
10.1002/nme.1620120612
‘Standard test method for plane‐strain fracture toughness of metallic materials’ ASTM Designation E399‐74 Pt 10 ASTM Annual Standards.

Dates

Type	When
Created	20 years ago (Aug. 9, 2005, 2:14 a.m.)
Deposited	1 year, 9 months ago (Nov. 12, 2023, 10:56 a.m.)
Indexed	3 weeks, 3 days ago (Aug. 6, 2025, 9:37 a.m.)
Issued	44 years, 10 months ago (Oct. 1, 1980)
Published	44 years, 10 months ago (Oct. 1, 1980)
Published Online	20 years, 2 months ago (June 20, 2005)
Published Print	44 years, 10 months ago (Oct. 1, 1980)

Funders 0

None

BibTeX

@article{Ingraffea_1980, title={Stress‐intensity factor computation in three dimensions with quarter‐point elements}, volume={15}, ISSN={1097-0207}, url={http://dx.doi.org/10.1002/nme.1620151002}, DOI={10.1002/nme.1620151002}, number={10}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Ingraffea, Anthony R. and Manu, Corneliu}, year={1980}, month=oct, pages={1427–1445} }

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