Determination of coefficients of crack tip asymptotic fields using the scaled boundary finite element method

Engineering Fracture Mechanics - Tập 72 - Trang 2019-2036 - 2005
Steven R. Chidgzey1, Andrew J. Deeks1
1School of Civil and Resource Engineering, The University of Western Australia, Crawley 6009, Australia

Tài liệu tham khảo

Williams, 1957, On the stress distribution at the base of a stationary crack, J. Appl. Mech., 24, 109, 10.1115/1.4011454 Larsson, 1973, Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic–plastic materials, J. Mech. Phys. Solids, 21, 263, 10.1016/0022-5096(73)90024-0 Rice, 1974, Limitations to the small scale yielding approximation for crack tip plasticity, J. Mech. Phys. Solids, 22, 17, 10.1016/0022-5096(74)90010-6 Dyskin, 1997, Crack growth criteria incorporating non-singular stresses: size effect in apparent fracture toughness, Int. J. Fract., 83, 191, 10.1023/A:1007304015524 Karihaloo, 1999, Size effect in shallow and deep notched quasi-brittle structures, Int. J. Fract., 95, 379, 10.1023/A:1018633208621 Owen, 1983 Liebowitz, 1989, Finite element methods in fracture mechanics, Comput. Struct., 31, 1, 10.1016/0045-7949(89)90160-0 Liebowitz, 1998, Computational fracture mechanics research and application, 512 Sham, 1991, The determination of the elastic T-term using higher order weight functions, Int. J. Fract., 48, 81, 10.1007/BF00018392 Fett, 1997, A Green’s function for T-stresses in edge-cracked rectangular plate, Engng. Fract. Mech., 57, 365, 10.1016/S0013-7944(97)00034-9 Fett, 1998, T-stresses in rectangular plates and circular disks, Engng. Fract. Mech., 60, 631, 10.1016/S0013-7944(98)00038-1 Fett T. T-stresses for components with one-dimensional cracks. Report FZKA 6170, Forschungs-zentrum Karlsruhe, 1998. Chen, 2001, Numerical assessment of T-stress computation using a p-version finite element method, Int. J. Fract., 107, 177, 10.1023/A:1007689311129 Wang, 2002, Elastic T-stress for cracks in specimens subject to non-uniform stress distributions, Engng. Fract. Mech., 69, 1339, 10.1016/S0013-7944(01)00149-7 Karihaloo, 2001, Accurate determination of the coefficients of elastic crack tip asymptotic field by a hybrid crack element with p-adaptivity, Engng. Fract. Mech., 68, 1609, 10.1016/S0013-7944(01)00063-7 Tong, 1997, A hybrid element approach to crack problems in plane elasticity, Int. J. Numer. Meth. Engng., 7, 297, 10.1002/nme.1620070307 Xiao, 2002, Coefficients of the crack tip asymptotic field for a standard compact tension specimen, Int. J. Fract., 118, 1, 10.1023/A:1022618930492 Karihaloo, 2001, Higher order terms of the crack tip asymptotic field for a notched three-point bend beam, Int. J. Fract., 112, 111, 10.1023/A:1013392324585 Karihaloo, 2003, Coefficients of the crack tip asymptotic field for wedge splitting specimens, Engng. Fract. Mech., 70, 2407, 10.1016/S0013-7944(03)00005-5 Song, 2002, Semi-analytical representation of stress singularities occurring as cracks in anisotropic multi-materials with the scaled boundary finite-element method, Comput. Struct., 80, 183, 10.1016/S0045-7949(01)00167-5 Wolf, 1996, Consistent infinitesimal finite-element cell method: three dimensional vector wave equation, Int. J. Numer. Meth. Engng., 39, 2189, 10.1002/(SICI)1097-0207(19960715)39:13<2189::AID-NME950>3.0.CO;2-P Wolf, 1996 Wolf, 2000, The scaled boundary finite-element method—a primer: derivation, Comput. Struct., 78, 191, 10.1016/S0045-7949(00)00099-7 Wolf, 2001, The scaled boundary finite-element method—a fundamental solution-less boundary-element method, Comput. Meth. Appl. Mech. Engng., 190, 5551, 10.1016/S0045-7825(01)00183-9 Wolf, 2003 Deeks, 2002, A virtual work derivation of the scaled boundary finite-element method for elastostatics, Comput. Mech., 28, 489, 10.1007/s00466-002-0314-2 Deeks, 2002, Stress recovery and error estimation for the scaled boundary finite-element method, Int. J. Numer. Meth. Engng., 54, 557, 10.1002/nme.439 Deeks, 2002, An h-hierarchical adaptive procedure for the scaled boundary finite-element method, Int. J. Numer. Meth. Engng., 54, 585, 10.1002/nme.440 Karihaloo, 1982, On crack kinking and curving, Mech. Mater., 1, 189, 10.1016/0167-6636(82)90012-6 Linsbauer, 1986, Fracture energy determination of concrete with cube-shaped specimens, Zement Beton, 31, 38