| Citation: | Zhao Xue-ren. An Approach to the Elastic-Plastic Analysis of the Plane Strain Mode-Ⅰ Crack[J]. Applied Mathematics and Mechanics, 1990, 11(4): 337-340.
|
| [1] |
Hutchinson,J.W.,Singular behaviour at the end of a tensile crack in a hardening material,J.Mech.Phys.Sol.,16,1Jan.(1968),13-31.
|
| [2] |
Hutchinson,J.W.,Plastic stress and strain fields at a crack tip,J.Mech.Phys.Sol.,16,5,(1968),337-347.
|
| [3] |
Rice,J.R.and G.F.Rosengren,Place strain deformation near a crack tip in a power-law hardening material,J.Mech.Phys.Sol.,16,1,Jan.(1968),1-12.
|
| [4] |
赵学仁.关于用有限单元法计算应力强度因子的探讨,兵工学报,1(1987).
|
| [5] |
钱伟长.在奇异项上迭加有限元法计算应力强度因子,《应用数学与力学论文集》,江苏科学技术出版社1979, 10).
|
| [6] |
Hsueh Dah-wei,An elastic-plastic analytical analysis near a crack tip,K.Y.Yeh(Ed),Progress in Applied Mechanics,Martinus Nijhoff Publishers,Dordrecht,ISBM 90-247-3249-2Printed in Netherlands(1987).
|
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Zhao Xue-ren. An Approach to the Elastic-Plastic Analysis of the Plane Strain Mode-Ⅰ Crack[J]. Applied Mathematics and Mechanics, 1990, 11(4): 337-340.
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