Numerical analysis of 2-D crack propagation problems using the numerical manifold method
Tóm tắt
Từ khóa
Tài liệu tham khảo
Tradegard, 1998, FEM-remeshing technique applied to crack growth problems, Comput Methods Appl Eng, 160, 115, 10.1016/S0045-7825(97)00287-9
Bouchard, 2003, Numerical modeling of crack propagation: automatic remeshing and comparison of different criteria, Comput Methods Appl Eng, 192, 3887, 10.1016/S0045-7825(03)00391-8
Heintz, 2006, On the numerical modeling of quasi-static crack growth in linear elastic fracture mechanics, Int J Numer Methods Eng, 65, 174, 10.1002/nme.1445
Khoei, 2008, Modeling of crack propagation via an automatic adaptive mesh refinement based on modified superconvergent patch recovery technique, Eng Fract Mech, 75, 2921, 10.1016/j.engfracmech.2008.01.006
Liu, 1995, Reproducing kernel particle methods, Int J Numer Methods Eng, 20, 1081, 10.1002/fld.1650200824
Atluri, 1998, A new meshless local Petrov–Galerkin (MLPG) approach in computational mechanics, Comput Mech, 22, 117, 10.1007/s004660050346
Belytschko, 1994, Element free Galerkin methods, Int J Numer Methods Eng, 37, 229, 10.1002/nme.1620370205
Belytschko, 1995, Crack propagation by element-free Galerkin methods, Eng Fract Mech, 51, 295, 10.1016/0013-7944(94)00153-9
Strouboulis, 2000, The design and analysis of the generalized finite element method, Comput Methods Appl Eng, 181, 43, 10.1016/S0045-7825(99)00072-9
Melenk, 1996, The partition of unity finite element method: basic theory and applications, Comput Methods Appl Eng, 139, 289, 10.1016/S0045-7825(96)01087-0
Moes, 1999, A finite element method for crack growth without remeshing, Int J Numer Methods Eng, 46, 131, 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
Strouboulis, 2000, The generalized finite element method: an example of its implementation and illustration of its performance, Int J Numer Methods Eng, 47, 1401, 10.1002/(SICI)1097-0207(20000320)47:8<1401::AID-NME835>3.0.CO;2-8
Shi, 1991, Manifold method of material analysis, 57
Shi, 1992, Modeling rock joints and blocks by manifold method, 639
Shi, 1989, Generalization of two-dimensional discontinuous deformation analysis for forward modeling, Int J Numer Anal Methods Geomech, 13, 359, 10.1002/nag.1610130403
Tsay, 1999, Crack growth prediction by manifold method, J Eng Mech, 125, 884, 10.1061/(ASCE)0733-9399(1999)125:8(884)
Chiou, 2002, Mixed mode fracture propagation by manifold method, Int J Fract, 114, 327, 10.1023/A:1015713428989
Hussain, 1974, Strain energy release rate for a crack under combined mode I and mode II, fracture analysis, ASTM STP 560, Philadelphia, 2
Sih, 1974, Fracture mechanics applied to engineering problems-strain energy density fracture criterion, Eng Fract Mech, 6, 361, 10.1016/0013-7944(74)90033-2
Erdogan, 1963, On the crack extension in plane loading and transverse shear, J Basic Eng, 85, 519, 10.1115/1.3656897
Paris, 1965, Stress analysis of crack, ASTM STP, 381, 1
Hellen, 1975, On the method of virtual crack extensions, Int J Numer Methods Eng, 9, 187, 10.1002/nme.1620090114
Bittencourt, 1996, Quasi-automatic simulation of crack propagation for 2D LEFM problems, Eng Fract Mech, 55, 321, 10.1016/0013-7944(95)00247-2
Ventura, 2002, A vector level set method and new discontinuity approximations for crack growth by EFG, Int J Numer Methods Eng, 54, 923, 10.1002/nme.471
Li, 2005, Numerical manifold method based on the method of weighted residuals, Comput Mech, 35, 470, 10.1007/s00466-004-0636-3
Ma, 2009, Modeling complex crack problems with numerical manifold method, Int J Fract, 156, 21, 10.1007/s10704-009-9342-7
Washizu, 1982
Zienkiewicz, 2005
Lin, 2003, A mesh-based partition of unity method for discontinuity modeling, Comput Methods Appl Eng, 192, 1515, 10.1016/S0045-7825(02)00655-2
Ewalds, 1989
Karihaloo B, 1973