DOI: 10.1002/nme.1620100103. On the use of isoparametric finite elements in linear fracture mechanics

On the use of isoparametric finite elements in linear fracture mechanics

10.1002/nme.1620100103

Crossref journal-article

Wiley

International Journal for Numerical Methods in Engineering (311)

Abstract

AbstractQuadratic isoparametric elements which embody the inverse square root singularity are used in the calculation of stress intensity factors of elastic fracture mechanics. Examples of the plane eight noded isoparametric element show that it has the same singularity as other special crack tip elements, and still includes the constant strain and rigid body motion modes. Application to three‐dimensional analysis is also explored. Stress intensity factors are calculated for mechanical and thermal loads for a number of plane strain and three‐dimensional problems.

Bibliography

Barsoum, R. S. (1976). On the use of isoparametric finite elements in linear fracture mechanics. International Journal for Numerical Methods in Engineering, 10(1), 25â37. Portico.

Authors 1

Roshdy S. Barsoum (first)

References 23 Referenced 1,237

{'key': 'e_1_2_1_2_2', 'volume-title': 'Application of the method of finite element analysis to two‐dimensional problems in fracture mechanics', 'author': 'Kobayashi A. S.', 'year': '1968'} / Application of the method of finite element analysis to two‐dimensional problems in fracture mechanics by Kobayashi A. S. (1968)
10.1007/BF00236483 / Int. J. Fract. Mech. / Use of finite element computer programs in fracture mechanics by Anderson G. P. (1971)
10.1016/0013-7944(70)90026-3
{'key': 'e_1_2_1_5_2', 'volume-title': 'Small scale yielding near a crack in plane strain—a finite element analysis', 'author': 'Levy N.', 'year': '1969'} / Small scale yielding near a crack in plane strain—a finite element analysis by Levy N. (1969)
‘The surface crack physical problems and computational solutions’ ASME 1972Winter Annual Meeting Appl. Mech. Div.‘Ed. J. Swedlow’.
10.2172/4348573 / Elastic‐plastic behavior of a longitudinal semi‐elliptic crack in a thick pressure vessel by Marcal P. V. (1973)
R. H.Gallagher ‘Survey and evaluation of the finite element method in fracture mechanics analysis’ Proc. 1st Int. Conf. Struct. Mech. in Reactor Technology Berlin (1971).
10.1007/BF00189823
10.1016/0013-7944(71)90036-1
J. R.RiceandD. M.Tracey ‘Computational fracture mechanics’ Proc. Symp. Num. Meth. Struct. Mech. Urbana Ill. (1971).
T. H. H.Pian P.Tong andC. H.Luk ‘Elastic crack analysis by a finite element hybrid method’ Proc. Air Force 3rd Conf. Matrix Meth. in Struct. Mech. AFFDL–TR–71–160 Wright‐Patterson A.F.B. (1971).
D. J.AyresandW. F.Siddall Jr. ‘Finite element analysis of a reactor pressure vessel during emergency core cooling’ Petro. Mech. Eng. and Press. Vessel and Piping Conf. Denver Colorado (1970). ASME Paper No. 70–PVP–23.
W. B.Jordan ‘The plane isoparametric structural element’ G. E. Co. Report KAPL–M–7112 (1970). (10.2172/4157041)
10.1002/nme.1620080208
{'key': 'e_1_2_1_16_2', 'volume-title': 'The Finite Element in Engineering Science', 'author': 'Zienkiewicz O. C.', 'year': '1971'} / The Finite Element in Engineering Science by Zienkiewicz O. C. (1971)
{'key': 'e_1_2_1_17_2', 'first-page': '557', 'volume-title': 'Experiments with the patch test for convergence of finite elements', 'author': 'Irons B. M.', 'year': '1972'} / Experiments with the patch test for convergence of finite elements by Irons B. M. (1972)
10.1115/1.4011547
{'key': 'e_1_2_1_19_2', 'series-title': 'ASTM Spec. Tech. Publ. No. 381', 'first-page': '43', 'volume-title': 'Fracture Toughness Testing and Its Applications', 'year': '1965'} / Fracture Toughness Testing and Its Applications / ASTM Spec. Tech. Publ. No. 381 (1965)
MARC–CDC Developed by MARC Analysis Research Corporation Providence R.I. 1974.
10.1002/nme.1620080310
10.1007/BF00236479
10.1016/0029-5493(74)90063-6
H. D.Hibbitt Private Communications May1973.

Dates

Type	When
Created	20 years ago (Aug. 9, 2005, 4:29 a.m.)
Deposited	1 year, 9 months ago (Nov. 12, 2023, 5:29 a.m.)
Indexed	1 day, 9 hours ago (Sept. 3, 2025, 6:16 a.m.)
Issued	49 years, 8 months ago (Jan. 1, 1976)
Published	49 years, 8 months ago (Jan. 1, 1976)
Published Online	20 years, 2 months ago (June 20, 2005)
Published Print	49 years, 8 months ago (Jan. 1, 1976)

Funders 0

None

BibTeX

@article{Barsoum_1976, title={On the use of isoparametric finite elements in linear fracture mechanics}, volume={10}, ISSN={1097-0207}, url={http://dx.doi.org/10.1002/nme.1620100103}, DOI={10.1002/nme.1620100103}, number={1}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Barsoum, Roshdy S.}, year={1976}, month=jan, pages={25–37} }

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