Tests and analyses for fully plastic fracture mechanics of plane strain mode I crack growth

Frank A. McClintock, Yun Jae Kim, David M. Parks

研究成果: Conference article

6 引用 (Scopus)

抄録

Under monotonic loading, structures should ideally be ductile enough to provide continued resistance during crack growth. Such fully plastic behavior is of interest in design against collisions, tank car accidents, earthquakes, and ship groundings. For fully plastic crack growth in low strength alloys, existing asymptotic solutions for elastic-plastic growing cracks are not applicable because they reach the fracture strain only in regions small compared to the inhomogeneities of the actual fracture process. For the limiting case of non-hardening fully-plastic plane strain crack growth, in a number of geometries and loadings the near-tip fields are characterized in terms of three parameters: an effective angle 2θs between a pair of slip planes, and the normal stress σs and the increment of displacement δus across the planes. This three-parameter characterization is in contrast to the one- or two-parameter (K or J and T or Q) characterization in linear or non-linear elastic fracture mechanics. These θs, σs, and δus parameters are found from the far-field geometries and loadings through slip line fields or least upper bound analyses based on circular arcs. The resulting crack growth, in terms of the crack tip opening angle (CTOA), is a function of θs, σs, and the material. The geometry of the crack growing between two moving slip planes emanating from its tip reduces this function to the critical fracture shear strain left behind the slip planes, γf, as a function of σs. γf(σs) is found theoretically from a hole initiation and growth model. It is also found from preliminary fully plastic crack growth experiments on unequally grooved specimens with fixed-grip extension or 4-point bending of a 1018 CF steel. At high triaxialities and also after strain aging, cleavage intervened abruptly, even during stable, slow deformation.

元の言語English
ページ(範囲)199-222
ページ数24
ジャーナルASTM Special Technical Publication
発行部数1256
出版物ステータスPublished - 1995 12 1
外部発表Yes
イベントProceedings of the 1994 26th National Symposium on Fracture Mechanics - Idaho Falls, ID, USA
継続期間: 1994 6 281994 6 30

Fingerprint

Fracture mechanics
Crack propagation
Plastics
Geometry
Tank cars
Cracks
Shear strain
Electric grounding
Crack tips
Earthquakes
Accidents
Ships
Aging of materials
Steel
Experiments

ASJC Scopus subject areas

  • Engineering(all)

これを引用

Tests and analyses for fully plastic fracture mechanics of plane strain mode I crack growth. / McClintock, Frank A.; Kim, Yun Jae; Parks, David M.

:: ASTM Special Technical Publication, 番号 1256, 01.12.1995, p. 199-222.

研究成果: Conference article

@article{4bd806c8b9f44e3e9e90a8c06e7005f9,
title = "Tests and analyses for fully plastic fracture mechanics of plane strain mode I crack growth",
abstract = "Under monotonic loading, structures should ideally be ductile enough to provide continued resistance during crack growth. Such fully plastic behavior is of interest in design against collisions, tank car accidents, earthquakes, and ship groundings. For fully plastic crack growth in low strength alloys, existing asymptotic solutions for elastic-plastic growing cracks are not applicable because they reach the fracture strain only in regions small compared to the inhomogeneities of the actual fracture process. For the limiting case of non-hardening fully-plastic plane strain crack growth, in a number of geometries and loadings the near-tip fields are characterized in terms of three parameters: an effective angle 2θs between a pair of slip planes, and the normal stress σs and the increment of displacement δus across the planes. This three-parameter characterization is in contrast to the one- or two-parameter (K or J and T or Q) characterization in linear or non-linear elastic fracture mechanics. These θs, σs, and δus parameters are found from the far-field geometries and loadings through slip line fields or least upper bound analyses based on circular arcs. The resulting crack growth, in terms of the crack tip opening angle (CTOA), is a function of θs, σs, and the material. The geometry of the crack growing between two moving slip planes emanating from its tip reduces this function to the critical fracture shear strain left behind the slip planes, γf, as a function of σs. γf(σs) is found theoretically from a hole initiation and growth model. It is also found from preliminary fully plastic crack growth experiments on unequally grooved specimens with fixed-grip extension or 4-point bending of a 1018 CF steel. At high triaxialities and also after strain aging, cleavage intervened abruptly, even during stable, slow deformation.",
author = "McClintock, {Frank A.} and Kim, {Yun Jae} and Parks, {David M.}",
year = "1995",
month = "12",
day = "1",
language = "English",
pages = "199--222",
journal = "ASTM Special Technical Publication",
issn = "1040-3094",
number = "1256",

}

TY - JOUR

T1 - Tests and analyses for fully plastic fracture mechanics of plane strain mode I crack growth

AU - McClintock, Frank A.

AU - Kim, Yun Jae

AU - Parks, David M.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - Under monotonic loading, structures should ideally be ductile enough to provide continued resistance during crack growth. Such fully plastic behavior is of interest in design against collisions, tank car accidents, earthquakes, and ship groundings. For fully plastic crack growth in low strength alloys, existing asymptotic solutions for elastic-plastic growing cracks are not applicable because they reach the fracture strain only in regions small compared to the inhomogeneities of the actual fracture process. For the limiting case of non-hardening fully-plastic plane strain crack growth, in a number of geometries and loadings the near-tip fields are characterized in terms of three parameters: an effective angle 2θs between a pair of slip planes, and the normal stress σs and the increment of displacement δus across the planes. This three-parameter characterization is in contrast to the one- or two-parameter (K or J and T or Q) characterization in linear or non-linear elastic fracture mechanics. These θs, σs, and δus parameters are found from the far-field geometries and loadings through slip line fields or least upper bound analyses based on circular arcs. The resulting crack growth, in terms of the crack tip opening angle (CTOA), is a function of θs, σs, and the material. The geometry of the crack growing between two moving slip planes emanating from its tip reduces this function to the critical fracture shear strain left behind the slip planes, γf, as a function of σs. γf(σs) is found theoretically from a hole initiation and growth model. It is also found from preliminary fully plastic crack growth experiments on unequally grooved specimens with fixed-grip extension or 4-point bending of a 1018 CF steel. At high triaxialities and also after strain aging, cleavage intervened abruptly, even during stable, slow deformation.

AB - Under monotonic loading, structures should ideally be ductile enough to provide continued resistance during crack growth. Such fully plastic behavior is of interest in design against collisions, tank car accidents, earthquakes, and ship groundings. For fully plastic crack growth in low strength alloys, existing asymptotic solutions for elastic-plastic growing cracks are not applicable because they reach the fracture strain only in regions small compared to the inhomogeneities of the actual fracture process. For the limiting case of non-hardening fully-plastic plane strain crack growth, in a number of geometries and loadings the near-tip fields are characterized in terms of three parameters: an effective angle 2θs between a pair of slip planes, and the normal stress σs and the increment of displacement δus across the planes. This three-parameter characterization is in contrast to the one- or two-parameter (K or J and T or Q) characterization in linear or non-linear elastic fracture mechanics. These θs, σs, and δus parameters are found from the far-field geometries and loadings through slip line fields or least upper bound analyses based on circular arcs. The resulting crack growth, in terms of the crack tip opening angle (CTOA), is a function of θs, σs, and the material. The geometry of the crack growing between two moving slip planes emanating from its tip reduces this function to the critical fracture shear strain left behind the slip planes, γf, as a function of σs. γf(σs) is found theoretically from a hole initiation and growth model. It is also found from preliminary fully plastic crack growth experiments on unequally grooved specimens with fixed-grip extension or 4-point bending of a 1018 CF steel. At high triaxialities and also after strain aging, cleavage intervened abruptly, even during stable, slow deformation.

UR - http://www.scopus.com/inward/record.url?scp=0029519839&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029519839&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0029519839

SP - 199

EP - 222

JO - ASTM Special Technical Publication

JF - ASTM Special Technical Publication

SN - 1040-3094

IS - 1256

ER -