Citation: | LI Ya, YI Zhijian, WANG Min, SU Kang. The Stress Intensity Factor of a FiniteWidth Plate With a Mode-Ⅰ Center Crack Subjected to Uniform Stress on the Crack Surface Near the Crack Tip[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1083-1091. doi: 10.21656/1000-0887.410130 |
[1] |
IRWIN G R. Analysis of stresses and strains near the end of crack traversing a plane[J]. Journal of Applied Mechanics-Transactions of the ASME,1957,24: 361-364.
|
[2] |
WESTERGAARD H M. Bearing pressure and cracks[J]. The Journal of Applied Mechanics,1939,A61: 49-53.
|
[3] |
MUSKHELISHIVILI N I. Some Basic Problems of the Mathematical Theory of Elasticity [M]. Beijing: Science Press, 1958: 374-377.
|
[4] |
PARIS P C, SIH G C. Stress Analysis of Cracks, Fracture Toughness Testing and Its Applications [M]. Philadelphia: ASTM, 1965: 30-70.
|
[5] |
SIH G C, LIEBOWITZ H. Mathematical Fundamentals, in Fracture: an Advanced Treatise [M]. New York: Academic Press, 1968: 68-190.
|
[6] |
RICE J R. Mathematical Analysis in the Mathematics of Fracture, in Fracture: an Advanced Treatise [M]. New York: Academic Press, 1968: 191-371.
|
[7] |
ACHENBACH J D, LI Z L. Plane stress crack line fields for crack growth in an elastic-perfectly plastic material[J]. Engineering Fracture Mechanics,1984,20(3): 534-544.
|
[8] |
GUO Q X, LI K R. Plastic deformation ahead of a plane stress tensile crack growth in an elastic-perfectly plastic solid[J]. Engineering Fracture Mechanics,1987,28(2): 139-146.
|
[9] |
YI Z J. The near crack line solution for plane stress tensile crack growth in an elastic-perfectly plastic material[J]. Engineering Fracture Mechanics,1992,42(1): 169-176.
|
[10] |
YI Z J. The more precise crack line analyses for antiplane quasistatically propagating crack[J]. International Journal of Fracture,1992,55(1): 9-12.
|
[11] |
YI Z J. The new and analytical solutions for mode Ⅲ cracks in an elastic-perfectly plastic material[J]. Engineering Fracture Mechanics,1992,42(5): 833-840.
|
[12] |
YI Z J. The most recent solutions of near crack line fields for mode Ⅲ cracks[J]. Engineering Fracture Mechanics,1994,47(1): 147-155.
|
[13] |
YI Z J, WANG S J, WU H L. Precise elastic-plastic analysis of crack line field for mode Ⅱ plane strain crack[J]. International Journal of Fracture,1996,80(4): 353-363.
|
[14] |
YI Z J, WANG S J, WANG X J. Precise solutions of elastic-plastic crack line fields for cracked plate loaded by antiplane point forces[J]. Engineering Fracture Mechanics,1997,57(1): 75-83.
|
[15] |
易志坚. Ⅰ型平面应力有限宽裂纹板弹塑性分析[J]. 西南交通大学学报, 1998,33(1): 82-87.(YI Zhijian. Elastic-plastic analysis of mode Ⅰ cracked plate with finite dimensions under plane stress conditions[J]. Journal of Southwest Jiaotong Uniersity,1998,33(1): 82-87.(in Chinese))
|
[16] |
易志坚, 严波. Ⅰ型平面应力裂纹弹塑性场在裂纹线附近匹配方程的一般形式[J]. 应用数学和力学, 2001,22(10): 1058-1066.(YI Zhijian, YAN Bo. General form of matching equation of elastic-plastic field near crack line for mode Ⅰ crack under plane stress condition[J]. Applied Mathematics and Mechanics,2001,22(10): 1058-1066.(in Chinese))
|
[17] |
ZHOU X P, WANG J H, HUANG Y B. Near crack line elastic-plastic analysis for an infinite plate loaded by a pair of point shear forces[J]. Journal of Shanghai Jiaotong University(Science),2003,E8(2): 115-117.
|
[18] |
WANG J H, ZHOU X P. Near crack line elastic-plastic analysis for a infinite plate loaded by two pairs of point tensile forces[J]. Mechanics Research Communications,2004,31(4): 415-420.
|
[19] |
王成, 吴承平. 偏心裂纹板在裂纹面受两对反平面点力的弹塑性解析解[J]. 应用数学和力学, 2003,24(7): 691-698.(WANG Cheng, WU Chengping. Elastic-plastic analytical solutions for an eccentric crack loaded by two pairs of anti-plane point forces[J]. Applied Mathematics and Mechanics,2003,24(7): 691-698.(in Chinese))
|
[20] |
易志坚, 赵朝华, 杨庆国, 等. Ⅲ型裂纹弹塑性场在裂纹线附近匹配方程的一般形式[J]. 应用数学和力学, 2009,30(5): 515-524.(YI Zhijian, ZHAO Chaohua, YANG Qingguo, et al. General forms of elastic-plastic matching equations for mode-Ⅲ cracks near the crack line[J]. Applied Mathematics and Mechanics,2009,30(5): 515-524.(in Chinese))
|
[21] |
YI Z J. Revisiting the Hult-Mcclintock closed-form solution for mode Ⅲ cracks[J]. Journal of Mechanics of Materials and Structures,2010,5(6): 1023-1035.
|
[22] |
GUO J H, LU Z X, FENG X. The fracture behavior of multiple cracks emanating from a circular hole in piezoelectric materials[J]. Acta Mechanica,2010,215(1): 119-134.
|
[23] |
GUO J H, LU Z X. Line field analysis and complex variable method for solving elastic-plastic fields around an anti-plane elliptic hole[J]. Science China: Physics, Mechanics and Astronomy,2011,54(8): 1495-1501.
|
[24] |
DENG J L, YANG P, DONG Q, et al. Elasto-plastic fracture analysis of finite-width cracked stiffened plate[J]. Applied Mechanics & Materials,2014,496/500: 1052-1057.
|
[25] |
LI Y, HUANG F, WANG M, et al. Near crack line elastic-plastic field for mode Ⅰ cracks under plane stress condition in rectangular coordinates[J]. Advances in Materials Science and Engineering,2020(3): 1-10.
|
[26] |
易志坚, 谷建义, 何小兵, 等. 反平面裂纹在裂纹自由表面附近的弹塑性分析[J]. 应用数学和力学, 2010,31(7): 853-859.(YI Zhijian, GU Jianyi, HE Xiaobing, et al. Elastic-plastic analysis of an antiplane crack near the crack surface region[J]. Applied Mathematics and Mechanics,2010,31(7): 853-859.(in Chinese))
|
[27] |
HUANG F, YI Z J, GU J Y, et al. Elastic-plastic analysis near the crack surface region on a mode Ⅲ crack under a pair of point forces[J]. AIP Advances,2016,6(6): 065113.
|
[28] |
HUANG F, YI Z J, YANG Q G, et al. Elastic-plastic analysis of the crack surface vicinity under a pair of anti-plane forces applied at an arbitrary point on the crack surface[J]. AIP Advances,2018,8(10): 105033.
|
[29] |
易志坚. 求解应力强度因子的一种新方法[J]. 重庆交通大学学报, 1991,10(3): 37-41.(YI Zhijian. A new method of determining the stress intensity factors[J]. Journal of Chongqing Jiaotong University,1991,10(3): 37-41.(in Chinese))
|
[30] |
WANG Q Z. The crack-line stress field method for analysing SIFS of strips-illustrated with an eccentrically cracked tension strip[J].International Journal of Fracture,1993,59(2): R39-R43.
|
[31] |
GDOUTOS E E. Fracture Mechanics: an Introduction [M]. Netherlands: Springer, 2005.
|
[32] |
ANDERSON T L. Fracture Mechanics: Fundamentals and Applications [M]. CRC Press, 2015.
|