DOI: 10.1016/j.cma.2010.10.016. The Dirichlet-to-Neumann map for two-dimensional crack problems

The Dirichlet-to-Neumann map for two-dimensional crack problems

10.1016/j.cma.2010.10.016

Crossref journal-article

Elsevier BV

Computer Methods in Applied Mechanics and Engineering (78)

Bibliography

Carka, D., Mear, M. E., & Landis, C. M. (2011). The Dirichlet-to-Neumann map for two-dimensional crack problems. Computer Methods in Applied Mechanics and Engineering, 200(9â12), 1263â1271.

Authors 3

Dorinamaria Carka (first)
Mark E. Mear (additional)
Chad M. Landis (additional)

References 33 Referenced 12

10.1115/1.3601206 / J. Appl. Mech. / A path independent integral and approximate analysis of strain concentration by notches and cracks by Rice (1968)
{'key': '10.1016/j.cma.2010.10.016_b0010', 'article-title': 'Mathematical Analysis in the Mechanics of Fracture', 'volume': 'vol. II', 'author': 'Rice', 'year': '1968'} / Mathematical Analysis in the Mechanics of Fracture by Rice (1968)
10.1002/nme.1620110109 / Int. J. Numer. Meth. Engrg. / Triangular quarter-point elements as elastic and perfectly-plastic crack tip elements by Barsoum (1977)
10.1002/nme.1620210814 / Int. J. Numer. Meth. Engrg. / Complete quadratic isoparametric finite-elements in fracture-mechanics analysis by Manu (1985)
10.1007/BF00034654 / Int. J. Fract. / Crack extension modeling with singular quadratic isoparametric elements by Shih (1976)
10.1016/0045-7825(89)90140-0 / Comput. Meth. Appl. Mech. Engrg. / A finite element method for large domains by Givoli (1989)
10.1002/nme.1620350611 / Int. J. Numer. Meth. Engrg. / A finite element method for domains with corners by Givoli (1992)
10.1016/0045-7949(93)90068-O / Comput. Struct. / The DtN finite-element method for elastic domains with cracks and re-entrant corners by Givoli (1993)
10.1016/0021-9991(89)90041-7 / J. Comput. Phys. / Exact non-reflecting boundary conditions by Keller (1989)
10.1016/0165-2125(90)90043-4 / Wave Motion / Non-reflecting boundary conditions for elastic waves by Givoli (1990)
10.1016/0021-9991(91)90135-8 / J. Comput. Phys. / Non-reflecting boundary conditions by Givoli (1991)
{'key': '10.1016/j.cma.2010.10.016_b0060', 'series-title': 'Numerical Methods for Problems in Infinite Domains', 'author': 'Givoli', 'year': '1992'} / Numerical Methods for Problems in Infinite Domains by Givoli (1992)
10.1016/0165-2125(94)90040-X / Wave Motion / Finite element analysis of wave scattering from singularities by Givoli (1994)
10.1016/S0045-7825(98)00053-X / Comput. Meth. Appl. Mech. Engrg. / Discrete Dirichlet-to-Neumann maps for unbounded domains by Givoli (1998)
10.1115/1.3098920 / Appl. Mech. Rev. / Exact representations on artificial interfaces and applications in mechanics by Givoli (1999)
10.1016/0013-7944(71)90057-9 / Engrg. Fract. Mech. / Plastic intensity factors for cracked plates by Hilton (1971)
10.1002/nme.518 / Int. J. Numer. Meth. Engrg. / A new finite-element formulation for electromechanical boundary value problems by Landis (2002)
10.1115/1.3607681 / J. Appl. Mech. / Stresses due to a sharp notch in a work-hardening elastic-plastic materials loaded by longitudinal shear by Rice (1967)
10.1016/S0013-7944(01)00109-6 / Engrg. Fract. Mech. / Uncoupled, asymptotic mode III and mode e crack tip solutions in non-linear ferroelectric materials by Landis (2002)
{'key': '10.1016/j.cma.2010.10.016_b0100', 'first-page': '257', 'volume': '12', 'author': 'Astley', 'year': '1996', 'journal-title': 'FE mode-matching schemes for the exterior helmholtz problem and their relationship to the FE-DtN approach'} / FE mode-matching schemes for the exterior helmholtz problem and their relationship to the FE-DtN approach by Astley (1996)
10.1115/1.4011454 / J. Appl. Mech. / On the stress distribution at the base of a stationary crack by Williams (1957)
10.1016/0022-5096(68)90021-5 / J. Mech. Phys. Solids / Plastic stress and strain fields at a crack tip by Hutchinson (1968)
10.1016/0013-7944(85)90029-3 / Engrg. Fract. Mech. / A comparison of methods for calculating energy release rates by Li (1985)
10.1115/1.4001748 / J. Appl. Mech. / On the path-dependence of the J-integral near a stationary crack in an elastic-plastic material by Carka (2011)
10.1016/S0013-7944(99)00082-X / Engrg. Fract. Mech. / Evaluation of elastic T-stress by the stress difference method by Yang (1999)
10.1115/1.3564739 / J. Appl. Mech. / Discussion of a paper by D.B. Bogy by Dundurs (1969)
10.1115/1.3172999 / J. Appl. Mech. / A semi-infinite crack partially penetrating a circular inclusion by Steif (1987)
10.1023/A:1024785726456 / Meccanica / A long crack penetrating a circular inhomogeneity by Wang (2003)
10.1002/(SICI)1097-0207(19961115)39:21<3705::AID-NME20>3.0.CO;2-F / Int. J. Numer. Meth. Engrg. / A matrix-free interpretation of the non-local Dirichlet-to-Neumann radiation boundary condition by Malhorta (1996)
10.1002/nme.364 / Int. J. Numer. Meth. Engrg. / Finite element evaluation of mixed mode stress intensity factors in functionally graded materials by Kim (2002)
10.1080/14786435808565804 / Philos. Mag. / Dislocations and cracks in anisotropic elasticity by Stroh (1958)
{'key': '10.1016/j.cma.2010.10.016_b0160', 'series-title': 'Anisotropic Elasticity: Theory and Applications', 'author': 'Ting', 'year': '1996'} / Anisotropic Elasticity: Theory and Applications by Ting (1996)
10.1016/0022-5096(92)90002-J / J. Mech. Phys. Solids / Fracture mechanics for piezoelectric ceramics by Sou (1992)

Dates

Type	When
Created	14 years, 10 months ago (Oct. 18, 2010, 1:45 a.m.)
Deposited	3 years, 9 months ago (Nov. 11, 2021, 7:54 p.m.)
Indexed	1 month, 1 week ago (July 16, 2025, 9:22 a.m.)
Issued	14 years, 6 months ago (Feb. 1, 2011)
Published	14 years, 6 months ago (Feb. 1, 2011)
Published Print	14 years, 6 months ago (Feb. 1, 2011)

Funders 0

None

BibTeX

@article{Carka_2011, title={The Dirichlet-to-Neumann map for two-dimensional crack problems}, volume={200}, ISSN={0045-7825}, url={http://dx.doi.org/10.1016/j.cma.2010.10.016}, DOI={10.1016/j.cma.2010.10.016}, number={9–12}, journal={Computer Methods in Applied Mechanics and Engineering}, publisher={Elsevier BV}, author={Carka, Dorinamaria and Mear, Mark E. and Landis, Chad M.}, year={2011}, month=feb, pages={1263–1271} }

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