Near-Tip Fields of Mode III Steady-State Crack Propagation in Elastic-Plastic Strain Gradient Solids

作者: Massimiliano Gei , Enrico Radi

DOI: 10.1007/1-4020-2604-8_24

关键词: Hardening (metallurgy)Micron scaleStrain gradientPlasticityFracture mechanicsMaterials scienceStress singularityMechanicsMode (statistics)Elastic plastic

摘要: The mode III asymptotic fields near a steadily propagating crack tip are investigated by employing the flow-theory version of couple-stress strain gradient plasticity. Compared to classical plasticity results, an increase stress singularity is observed, also for small hardening. performed analysis can provide useful predictions about traction level ahead due effects, which have been found relevant and non negligible at micron scale.

参考文章(10)
L. Zhang, Y. Huang, J.Y. Chen, K.C. Hwang, The mode III full-field solution in elastic materials with strain gradient effects International Journal of Fracture. ,vol. 92, pp. 325- 348 ,(1998) , 10.1023/A:1007552621307
R. D. Mindlin, H. F. Tiersten, Effects of couple-stresses in linear elasticity Archive for Rational Mechanics and Analysis. ,vol. 11, pp. 415- 448 ,(1962) , 10.1007/BF00253946
E Radi, Strain-gradient effects on steady-state crack growth in linear hardening materials Journal of The Mechanics and Physics of Solids. ,vol. 51, pp. 543- 573 ,(2003) , 10.1016/S0022-5096(02)00057-1
W.J. Drugan, J.R. Rice, T-L. Sham, Asymptotic analysis of growing plane strain tensile cracks in elastic-ideally plastic solids Journal of the Mechanics and Physics of Solids. ,vol. 30, pp. 447- 473 ,(1982) , 10.1016/0022-5096(82)90027-8
N.A. Fleck, J.W. Hutchinson, A phenomenological theory for strain gradient effects in plasticity Journal of The Mechanics and Physics of Solids. ,vol. 41, pp. 1825- 1857 ,(1993) , 10.1016/0022-5096(93)90072-N
P. Ponte Castañeda, Asymptotic fields in steady crack growth with linear strain-hardening Journal of the Mechanics and Physics of Solids. ,vol. 35, pp. 227- 268 ,(1987) , 10.1016/0022-5096(87)90037-8
G. Elssner, D. Korn, M. Rühle, The influence of interface impurities on fracture energy of UHV diffusion bonded metal-ceramic bicrystals Scripta Metallurgica Et Materialia. ,vol. 31, pp. 1037- 1042 ,(1994) , 10.1016/0956-716X(94)90523-1
R. A. Toupin, Elastic materials with couple-stresses Archive for Rational Mechanics and Analysis. ,vol. 11, pp. 385- 414 ,(1962) , 10.1007/BF00253945
Enrico Radi, Massimiliano Gei, Mode III crack growth in linear hardening materials with strain gradient effects International Journal of Fracture. ,vol. 130, pp. 765- 785 ,(2004) , 10.1007/S10704-004-2549-8
John W. Hutchinson, Plasticity at the micron scale International Journal of Solids and Structures. ,vol. 37, pp. 225- 238 ,(2000) , 10.1016/S0020-7683(99)00090-6