Estimation of fully plastic crack tip stresses from equilibrium of least upper bound circular arcs

Yun Jae Kim

doi:10.1016/S0020-7403(02)00032-2

Estimation of fully plastic crack tip stresses from equilibrium of least upper bound circular arcs

Yun Jae Kim

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper presents a simple method to estimate fully plastic crack tip stresses based on the equilibrium condition of the least upper bounds for plane strain deformation fields consisting of rigid-body rotation across a circular arc extending from a crack tip across the remaining ligament. The method is applied to deep, single-edge-cracked specimens under combined bending and tension. For various bending-to-tension ratios, the limit loads and crack tip stresses are estimated from the present method and compared with results from finite element limit analyses. The present method gives impressive results.

Original language	English
Pages (from-to)	881-897
Number of pages	17
Journal	International Journal of Mechanical Sciences
Volume	44
Issue number	5
DOIs	https://doi.org/10.1016/S0020-7403(02)00032-2
Publication status	Published - 2002 May
Externally published	Yes

Keywords

Finite element limit analysis
J-integral
Strength mis-match
Test standards
Toughness testing

ASJC Scopus subject areas

Civil and Structural Engineering
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/S0020-7403(02)00032-2

Cite this

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title = "Estimation of fully plastic crack tip stresses from equilibrium of least upper bound circular arcs",

abstract = "This paper presents a simple method to estimate fully plastic crack tip stresses based on the equilibrium condition of the least upper bounds for plane strain deformation fields consisting of rigid-body rotation across a circular arc extending from a crack tip across the remaining ligament. The method is applied to deep, single-edge-cracked specimens under combined bending and tension. For various bending-to-tension ratios, the limit loads and crack tip stresses are estimated from the present method and compared with results from finite element limit analyses. The present method gives impressive results.",

keywords = "Finite element limit analysis, J-integral, Strength mis-match, Test standards, Toughness testing",

author = "Kim, {Yun Jae}",

note = "Funding Information: This work had been carried out as a part of the author's Ph.D program. He wished to acknowledge Profs. McClintock and Parks at MIT for their valuable comments. This work is partly funded by the Office of Basic Energy Sciences, Department of Energy, under Grant DE-FG02-85ER13331 to M.I.T. and Contract DE-AS07-76ID01670 with the Idaho National Energy Laboratory. This sponsorship is deeply appreciated.",

year = "2002",

month = may,

doi = "10.1016/S0020-7403(02)00032-2",

language = "English",

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pages = "881--897",

journal = "International Journal of Mechanical Sciences",

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AU - Kim, Yun Jae

N1 - Funding Information: This work had been carried out as a part of the author's Ph.D program. He wished to acknowledge Profs. McClintock and Parks at MIT for their valuable comments. This work is partly funded by the Office of Basic Energy Sciences, Department of Energy, under Grant DE-FG02-85ER13331 to M.I.T. and Contract DE-AS07-76ID01670 with the Idaho National Energy Laboratory. This sponsorship is deeply appreciated.

PY - 2002/5

Y1 - 2002/5

N2 - This paper presents a simple method to estimate fully plastic crack tip stresses based on the equilibrium condition of the least upper bounds for plane strain deformation fields consisting of rigid-body rotation across a circular arc extending from a crack tip across the remaining ligament. The method is applied to deep, single-edge-cracked specimens under combined bending and tension. For various bending-to-tension ratios, the limit loads and crack tip stresses are estimated from the present method and compared with results from finite element limit analyses. The present method gives impressive results.

AB - This paper presents a simple method to estimate fully plastic crack tip stresses based on the equilibrium condition of the least upper bounds for plane strain deformation fields consisting of rigid-body rotation across a circular arc extending from a crack tip across the remaining ligament. The method is applied to deep, single-edge-cracked specimens under combined bending and tension. For various bending-to-tension ratios, the limit loads and crack tip stresses are estimated from the present method and compared with results from finite element limit analyses. The present method gives impressive results.

KW - Finite element limit analysis

KW - J-integral

KW - Strength mis-match

KW - Test standards

KW - Toughness testing

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DO - 10.1016/S0020-7403(02)00032-2

M3 - Article

AN - SCOPUS:0036576776

SN - 0020-7403

VL - 44

SP - 881

EP - 897

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

IS - 5

ER -

Estimation of fully plastic crack tip stresses from equilibrium of least upper bound circular arcs

Abstract

Keywords

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