Abstract
The CED (Crack Energy Density), εφ{symbol}, in an arbitrary direction is defined and has a consistent meaning without any restriction on constitutive equation. In general, εφ{symbol} can be divided into the contributions of each mode and the maximum value, εIφ{symbol}max, of εIφ{symbol} for mode I is expected to play the most important role in mixed mode fracture problems. In this paper, εφ{symbol} and εIφ{symbol} for specimens under tension with a crack inclined to the loading axis are evaluated by path-independent integrals and the method based on the relationship between εφ{symbol} and load-displacement curves through elastic finite element analyses, and a practical method to evaluate εIφ{symbol}max is proposed through comparison of the results with theoretical ones. Subsequently, εIφ{symbol}max corresponding to an experimental result of ductile fracture is evaluated by the above proposed method through elastic-plastic finite element analyses and the applicability of CED (εIφ{symbol}max) to a mixed mode fracture problem is demonstrated.
| Original language | English |
|---|---|
| Pages (from-to) | 175-189 |
| Number of pages | 15 |
| Journal | International Journal of Pressure Vessels and Piping |
| Volume | 44 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1990 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
- Mechanics of Materials
Cite this
Applicability of CED (crack energy density) to mixed mode fracture problem. / Watanabe, Katsuhiko; Utsunomiya, Takao.
In: International Journal of Pressure Vessels and Piping, Vol. 44, No. 2, 1990, p. 175-189.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Applicability of CED (crack energy density) to mixed mode fracture problem
AU - Watanabe, Katsuhiko
AU - Utsunomiya, Takao
PY - 1990
Y1 - 1990
N2 - The CED (Crack Energy Density), εφ{symbol}, in an arbitrary direction is defined and has a consistent meaning without any restriction on constitutive equation. In general, εφ{symbol} can be divided into the contributions of each mode and the maximum value, εIφ{symbol}max, of εIφ{symbol} for mode I is expected to play the most important role in mixed mode fracture problems. In this paper, εφ{symbol} and εIφ{symbol} for specimens under tension with a crack inclined to the loading axis are evaluated by path-independent integrals and the method based on the relationship between εφ{symbol} and load-displacement curves through elastic finite element analyses, and a practical method to evaluate εIφ{symbol}max is proposed through comparison of the results with theoretical ones. Subsequently, εIφ{symbol}max corresponding to an experimental result of ductile fracture is evaluated by the above proposed method through elastic-plastic finite element analyses and the applicability of CED (εIφ{symbol}max) to a mixed mode fracture problem is demonstrated.
AB - The CED (Crack Energy Density), εφ{symbol}, in an arbitrary direction is defined and has a consistent meaning without any restriction on constitutive equation. In general, εφ{symbol} can be divided into the contributions of each mode and the maximum value, εIφ{symbol}max, of εIφ{symbol} for mode I is expected to play the most important role in mixed mode fracture problems. In this paper, εφ{symbol} and εIφ{symbol} for specimens under tension with a crack inclined to the loading axis are evaluated by path-independent integrals and the method based on the relationship between εφ{symbol} and load-displacement curves through elastic finite element analyses, and a practical method to evaluate εIφ{symbol}max is proposed through comparison of the results with theoretical ones. Subsequently, εIφ{symbol}max corresponding to an experimental result of ductile fracture is evaluated by the above proposed method through elastic-plastic finite element analyses and the applicability of CED (εIφ{symbol}max) to a mixed mode fracture problem is demonstrated.
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U2 - 10.1016/0308-0161(90)90128-5
DO - 10.1016/0308-0161(90)90128-5
M3 - Article
VL - 44
SP - 175
EP - 189
JO - International Journal of Pressure Vessels and Piping
JF - International Journal of Pressure Vessels and Piping
SN - 0308-0161
IS - 2
ER -