Plastic Rotation Factors of Three-Point Bend and Compact Tension Specimens

Shang Xian Wu; Yiu Wing Mai; Brian Cotterell

doi:10.1520/jte11276j

Plastic Rotation Factors of Three-Point Bend and Compact Tension Specimens

Shang Xian Wu
, Yiu Wing Mai
, Brian Cotterell

Research output: Journal article publication › Journal article › Academic research › peer-review

11 Citations (Scopus)

Abstract

Plastic rotation factors (r_p) for three-point bend and compact tension specimens were obtained for a range of normalized crack depths (a/W) from 0.25 to 0.88 and power law hardening materials. The theoretical slip-line field solutions were used for non-strain hardening materials (i.e., n = ∞) and the Kumar-German-Shih finite element plastic displacement solutions for strain hardening materials (i.e., n < ∞) in these r_p calculations. For crack depth a/W = 0.50, the factors r_p are approximately independent of strain hardening if n > 5 and are in reasonable agreement with those values recommended by ASTM Subcommittee E24.08 for calculation of crack tip opening displacements in these two types of specimens. For n < 5 the error in r_p becomes appreciably large.

Original language	English
Pages (from-to)	555-557
Number of pages	3
Journal	Journal of Testing and Evaluation
Volume	16
Issue number	6
DOIs	https://doi.org/10.1520/jte11276j
Publication status	Published - 1 Nov 1988
Externally published	Yes

Keywords

compact tension specimen
crack tip opening displacement
plastic rotation factor
slip-line
strain hardening
three-point bend specimen

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

More information

10.1520/jte11276j

Cite this

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title = "Plastic Rotation Factors of Three-Point Bend and Compact Tension Specimens",

abstract = "Plastic rotation factors (rp) for three-point bend and compact tension specimens were obtained for a range of normalized crack depths (a/W) from 0.25 to 0.88 and power law hardening materials. The theoretical slip-line field solutions were used for non-strain hardening materials (i.e., n = ∞) and the Kumar-German-Shih finite element plastic displacement solutions for strain hardening materials (i.e., n < ∞) in these rp calculations. For crack depth a/W = 0.50, the factors rp are approximately independent of strain hardening if n > 5 and are in reasonable agreement with those values recommended by ASTM Subcommittee E24.08 for calculation of crack tip opening displacements in these two types of specimens. For n < 5 the error in rp becomes appreciably large.",

keywords = "compact tension specimen, crack tip opening displacement, plastic rotation factor, slip-line, strain hardening, three-point bend specimen",

author = "Wu, \{Shang Xian\} and Mai, \{Yiu Wing\} and Brian Cotterell",

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T1 - Plastic Rotation Factors of Three-Point Bend and Compact Tension Specimens

AU - Wu, Shang Xian

AU - Mai, Yiu Wing

AU - Cotterell, Brian

PY - 1988/11/1

Y1 - 1988/11/1

N2 - Plastic rotation factors (rp) for three-point bend and compact tension specimens were obtained for a range of normalized crack depths (a/W) from 0.25 to 0.88 and power law hardening materials. The theoretical slip-line field solutions were used for non-strain hardening materials (i.e., n = ∞) and the Kumar-German-Shih finite element plastic displacement solutions for strain hardening materials (i.e., n < ∞) in these rp calculations. For crack depth a/W = 0.50, the factors rp are approximately independent of strain hardening if n > 5 and are in reasonable agreement with those values recommended by ASTM Subcommittee E24.08 for calculation of crack tip opening displacements in these two types of specimens. For n < 5 the error in rp becomes appreciably large.

AB - Plastic rotation factors (rp) for three-point bend and compact tension specimens were obtained for a range of normalized crack depths (a/W) from 0.25 to 0.88 and power law hardening materials. The theoretical slip-line field solutions were used for non-strain hardening materials (i.e., n = ∞) and the Kumar-German-Shih finite element plastic displacement solutions for strain hardening materials (i.e., n < ∞) in these rp calculations. For crack depth a/W = 0.50, the factors rp are approximately independent of strain hardening if n > 5 and are in reasonable agreement with those values recommended by ASTM Subcommittee E24.08 for calculation of crack tip opening displacements in these two types of specimens. For n < 5 the error in rp becomes appreciably large.

KW - compact tension specimen

KW - crack tip opening displacement

KW - plastic rotation factor

KW - slip-line

KW - strain hardening

KW - three-point bend specimen

UR - https://www.scopus.com/pages/publications/0024106404

U2 - 10.1520/jte11276j

DO - 10.1520/jte11276j

M3 - Journal article

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SN - 0090-3973

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SP - 555

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JO - Journal of Testing and Evaluation

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IS - 6

ER -

Plastic Rotation Factors of Three-Point Bend and Compact Tension Specimens

Abstract

Keywords

ASJC Scopus subject areas

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