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Mismatch limit loads and approximate J estimates for tensile plates with constant-depth surface cracks in the center of welds

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Abstract

The present work provides mismatch limit loads and approximate J estimates for tensile plates with constant-depth, part-through surface cracks in the center of the weld metal. Based on systematic three-dimensional FE limit analyses, effects of strength mismatch related variables on limit loads are firstly quantified by the strength mismatch ratio and one geometry-related parameter. Mismatch limit loads for part-through surface cracks are then correlated to those for two-dimensional, through-wall crack problems. Based on the proposed limit load solutions, the applicability of the reference stress based J estimates is also investigated. When the reference stress is defined by the mismatch limit load, predicted J values agree overall well with FE results.

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Abbreviations

a :

Crack depth

c :

Half crack length

t :

Plate thickness

E :

Young’s modulus

E′:

=E/(1 − ν2) for plane strain;  = E for plane stress

F :

Applied tensile force

F L :

Net section limit load

h :

Half width of weld metal strip

J, J e :

J-integral and its elastically calculated value

K :

Linear elastic stress intensity factor

L :

(Half) Length of the plate

M :

Mismatch factor defined for yield strength, M = σ YW /σ YB

w :

(Half) Width of the plate

ψ :

Normalized remaining ligament (for two-dimensional cases)

ψ eff :

Normalized remaining ligament (for three-dimensional cases)

ε :

Strain

ε ref :

Reference strain

ν:

Poisson’s ratio

σ :

Applied stress

σ Y :

Yield strength, general

σ ref :

Reference stress

B :

Referring to base plate

M :

Referring to mismatch configuration

W :

Referring to weld metal

PE:

Referring to plane strain

PS:

Referring to plane stress

M(T):

Middle-cracked tensile plates

SE(T):

Single-edge cracked plates in tension

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Authors and Affiliations

  1. Department of Mechanical Engineering, Korea University, 1-5Ka Anam-Dong, Sungbuk-Ku, Seoul, 136-701, Korea

    Tae-Kwang Song & Yun-Jae Kim

  2. Department of Mechanical Engineering, Sunchon National University, Sunchon, Jeonnam, 540-742, Korea

    Jong-Sung Kim

  3. Structural Integrity & Materials Department, Korea Power Engineering Company, Yongin-si, Gyeonggi-do, 449-713, Korea

    Tae-Eun Jin

Authors
  1. Tae-Kwang Song
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  2. Yun-Jae Kim
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  3. Jong-Sung Kim
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  4. Tae-Eun Jin
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Correspondence to Yun-Jae Kim.

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Song, TK., Kim, YJ., Kim, JS. et al. Mismatch limit loads and approximate J estimates for tensile plates with constant-depth surface cracks in the center of welds. Int J Fract 148, 343–360 (2007). https://doi.org/10.1007/s10704-008-9206-6

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  • DOI: https://doi.org/10.1007/s10704-008-9206-6

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