A method for the evaluation of regular components of the stress field in the plastic zone near the tip of a mode-I crack

作者: V. N. Shlyannikov

DOI: 10.1007/S11223-006-0038-1

关键词: GeometrySingularityCrack tip opening displacementStress fieldAmplitudeBoundary layerMaterials scienceFissureDimensionless quantitySolid mechanics

摘要: We propose a method aimed at the evaluation of amplitude singularity and dimensionless angular distributions second terms in expansions stresses, strains, displacements plastic zone vicinity crack tip. The is based on combination Hutchinson-Rice-Rosengren-type analytic solution numerical obtained by using modified boundary layer. presented results enable us to analyze effects constraints broad ranges conditions biaxial loading.

参考文章(31)
M.R. Ayatollahi, D.J. Smith, M.J. Pavier, Crack-tip constraint in mode II deformation International Journal of Fracture. ,vol. 113, pp. 153- 173 ,(2002) , 10.1023/A:1015504414612
M.R. Ayatollahi, M.J. Pavier, D.J. Smith, Determination of T-stress from finite element analysis for mode I and mixed mode I/II loading International Journal of Fracture. ,vol. 91, pp. 283- 298 ,(1998) , 10.1023/A:1007581125618
F. G. Yuan, S. Yang, Crack-tip fields in elastic-plastic material under plane stress mode I loading International Journal of Fracture. ,vol. 85, pp. 131- 155 ,(1997) , 10.1023/A:1007361116709
M. L. Williams, On the Stress Distribution at the Base of a Stationary Crack American Society Mechanical Engineers. ,(1956)
Huang Yuan, Guoyu Lin, Alfred Cornec, Quantifications of crack constraint effects in an austenitic steel International Journal of Fracture. ,vol. 71, pp. 273- 291 ,(1995) , 10.1007/BF00033722
P. S. Leevers, J. C. Radon, Inherent Stress Biaxiality in Various Fracture Specimen Geometries International Journal of Fracture. ,vol. 19, pp. 311- 325 ,(1982) , 10.1007/BF00012486
Y.Arun Roy, R. Narasimhan, A finite element investigation of the effect of crack tip constraint on hole growth under mode I and mixed mode loading International Journal of Solids and Structures. ,vol. 36, pp. 1427- 1447 ,(1999) , 10.1016/S0020-7683(98)00046-8
J.R. Rice, G.F. Rosengren, Plane strain deformation near a crack tip in a power-law hardening material Journal of the Mechanics and Physics of Solids. ,vol. 16, pp. 1- 12 ,(1968) , 10.1016/0022-5096(68)90013-6