A unified method to solve higher order asymptotic crack-tip fields of mode I, mode II and mixed mode I/II crack in power-law creeping solids

Engineering Fracture Mechanics - Tập 218 - Trang 106610 - 2019
Yanwei Dai1, Yinghua Liu2, Fei Qin1, Yuh J. Chao3
1College of Mechanical Engineering & Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
2Department of Engineering Mechanics, AML, Tsinghua University, Beijing 100084, China
3Department of Mechanical Engineering, University of South Carolina, 300 Main Street, Columbia, SC 29208, USA

Tài liệu tham khảo

Hutchinson, 1968, Singular behaviour at the end of a tensile crack in a hardening material, J Mech Phys Solids, 16, 13, 10.1016/0022-5096(68)90014-8 Rice, 1968, Plane strain deformation near a crack tip in a power-law hardening material, J Mech Phys Solids, 16, 1, 10.1016/0022-5096(68)90013-6 Hoff, 1954, Approximate analysis of structures in the presence of moderately large creep deformations, Quart Appl Math, 12, 49, 10.1090/qam/61004 Riedel, 1980, 112 Dai, 2016, Mismatch constraint effect of creep crack with modified boundary layer model, J Appl Mech, 83, 10.1115/1.4032025 Nguyen, 2000, On higher-order crack-tip fields in creeping solids, J Appl Mech, 67, 372, 10.1115/1.1304823 Chao, 2001, Higher-order asymptotic crack-tip fields in a power-law creeping material, Int J Solids Struct, 38, 3853, 10.1016/S0020-7683(00)00255-9 Wang, 2010, Effect of constraint induced by crack depth on creep crack-tip stress field in CT specimens, Int J Solids Struct, 47, 51, 10.1016/j.ijsolstr.2009.09.015 Xiang, 2011, Characterization of three-dimensional crack border fields in creeping solids, Int J Solids Struct, 48, 2695, 10.1016/j.ijsolstr.2011.05.013 Dai, 2017, Higher order asymptotic analysis of crack tip fields under mode II creeping conditions, Int J Solids Struct, 125, 89, 10.1016/j.ijsolstr.2017.07.013 Yang, 1993, Complete theoretical analysis for higher order asymptotic terms and the HRR zone at a crack tip for Mode I and Mode II loading of a hardening material, Acta Mech, 98, 79, 10.1007/BF01174295 Yang, 1993, Higher order asymptotic crack tip fields in a power-law hardening material, Eng Fract Mech, 45, 1, 10.1016/0013-7944(93)90002-A Chao, 1996, Higher order crack tip fields and its implication for fracture of solids under mode II conditions, Eng Fract Mech, 55, 777, 10.1016/0013-7944(96)00054-9 Brockenbrough, 1991, Transient crack-tip fields for mixed-mode power law creep, Int J Fract, 49, 177, 10.1007/BF00035041 Poquillon, 1999, Mode II creep crack initiation in 316 LN stainless steel: experiments and modelling, Mater High Temp, 16, 99, 10.1179/mht.1999.009 Gordon, 2004, Mixed mode loading of an interface crack between graded creeping solids, J Pressure Vessel Technol, 126, 478, 10.1115/1.1804200 Stepanova, 2014, Self-similar solutions to the creep crack problem in a damaged medium under mixed loading conditions, Procedia Mater Sci, 3, 948, 10.1016/j.mspro.2014.06.154 Shih C. Small-scale yielding analysis of mixed mode plane-strain crack problems. ASTM STP 560; 1974, p. 187–210. Symington, 1988 Shih, 1973 Stepanova, 2015, Asymptotic stress field in the vicinity of a mixed-mode crack under plane stress conditions for a power-law hardening material, J Mech Mater Struct, 10, 367, 10.2140/jomms.2015.10.367 Zhu, 2001, Constraint effects on crack-tip fields in elastic-perfectly plastic materials, J Mech Phys Solids, 49, 363, 10.1016/S0022-5096(00)00030-2 Rahman, 2006, Elastic perfectly-plastic asymptotic mixed mode crack tip fields in plane stress, Int J Solids Struct, 43, 3692, 10.1016/j.ijsolstr.2005.05.051 Loghin, 2001, Asymptotic solutions for mixed mode loading of cracks and wedges in power law hardening materials, Eng Fract Mech, 68, 1511, 10.1016/S0013-7944(01)00050-9 Zhang, 1998, A nonlinear finite element eigenanalysis of singular stress fields in bimaterial wedges for plane strain, Int J Fract, 94, 299, 10.1023/A:1007513501788 Loghin, 2003, Mixed mode fracture in power law hardening materials near mode I, Int J Fract, 123, 81, 10.1023/B:FRAC.0000005796.82181.07 Lazzarin, 2001, Plastic notch stress intensity factors for large V-shaped notches under mixed load conditions, Int J Fract, 107, 361, 10.1023/A:1007633612060 Symington, 1990, A finite element method for determining the angular variation of asymptotic crack tip fields, Int J Fract, 45, 51, 10.1007/BF00012609 Norton, 1929 Bassani, 1981, Creep relaxation of stress around a crack tip, Int J Solids Struct, 17, 479, 10.1016/0020-7683(81)90055-X Nikishkov, 1995, An algorithm and a computer program for the three-term asymptotic expansion of elastic-plastic crack tip stress and displacement fields, Eng Fract Mech, 50, 65, 10.1016/0013-7944(94)00139-9 Sharma, 1993, On the development of variable-separable asymptotic elastoplastic solutions for interfacial cracks, Int J Solids Struct, 30, 695, 10.1016/0020-7683(93)90030-B Kiusalaas, 2010 Gao, 1990, Mixed mode interface crack in a pure power-hardening bimaterial, Int J Fract, 43, 241, 10.1007/BF00035085 Champion, 1991, A Crack at the Interface between Two Power-Law Materials under Plane Strain Loading, Proc Roy Soc A: Math, Phys Eng Sci, 432, 547