PSI - Issue 32

N.V. Boychenko et al. / Procedia Structural Integrity 32 (2021) 326–333 Boychenko N.V./ Structural Integrity Procedia 00 (2019) 000 – 000

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5. Conclusions The influence of crack curvature radius and plastic properties of material on the HRR and CMSG stress fields is investigated by numerical analysis. The radial distributions of hoop and equivalent stresses show the sensitivity to the crack curvature radius in classical HRR and CMSG plasticity. The boundaries of local zones of sensitivity to the crack curvature radius are determined for both HRR and CMSG plasticity depending on the plastic properties of material and the Taylor intrinsic material length parameter. The CMSG plasticity dominated zones are determined as a function of the intrinsic material length. The analysis shows that the effect of a crack curvature radius is realized in the strain gradient plasticity dominated zone. Acknowledgment Author gratefully acknowledges the financial support of the Russian Science Foundation under the Project 20-19 00158. References McMeeking, R.M., 1977. Finite deformation analysis of crack tip opening in elastic-plastic materials and implications for fracture. Journal of the Mechanics and Physics of Solids 25,.357-381. O'Dowd, N.P., Shih, C.F., 1991. Family of crack-tip fields characterized by a triaxiality parameter — I. Structure of fields. Journal of the Mechanics and Physics of Solids 39 (8), 989-1015. Hutchinson, J.W., 1968. Plastic stress and strain fields at a crack tip. Journal of the Mechanics and Physics of Solids 16, 337-347. Hutchinson, J.W., 1968. Singular behaviour at the end of a tensile crack in a hardening material. Journal of the Mechanics and Physics of Solids 16, 13-31. Rice, J.R., Rosengren, G.F., 1968. Plane strain deformation near a crack tip in a power-law hardening material. Journal of the Mechanics and Physics of Solids 16, 1-12. Shlyannikov, V., Martínez - Pañeda , E., Tumanov, A., Tartygasheva, A., 2021. Crack tip fields and fracture resistance parameters based on strain gradient plasticity. International Journal of Solids and Structures 208-209, 63-82 Gao, H., Huang, Y., Nix, W.D., Hutchinson, J.W., 1999. Mechanism-based strain gradient plasticity-I. theory. Journal of the Mechanics and Physics of Solids 47, 128-152. Huang, Y., Gao, H., Nix, W.D., Hutchinson, J.W., 2000. Mechanism-based. Analysis. Journal of the Mechanics and Physics of Solids 48, 99-128. Fleck, N.A., Hutchinson, J.W., 2001. A reformulation of strain gradient plasticity. Journal of the Mechanics and Physics of Solids 49, 2245 – 2271. Fleck, N.A., Hutchinson, J.W., 1997. Strain gradient plasticity. Advances in Applied Mechanics 33, 295 – 361. Gudmundson, P., 2004. A unified treatment of strain gradient plasticity. Journal of the Mechanics and Physics of Solids 52, 1379 – 1406. Gurtin, M.E., 2004. A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin. Journal of the Mechanics and Physics of Solids 52, 2545 – 2568. Huang, Y., Qu, S., Hwang, K.C., Li, M., Gao, H. 2004. A conventional theory of mechanism-based strain gradient plasticity. International Journal of Plasticity 20, 753 – 782.