Advanced reproducing kernel meshfree modeling of cracked curved shells for mixed-mode stress resultant intensity factors

Engineering Fracture Mechanics - Tập 233 - Trang 107012 - 2020
Ming-Jyun Dai1, Satoyuki Tanaka1, Shota Sadamoto1, Tiantang Yu2, Tinh Quoc Bui3
1Graduate School of Engineering, Hiroshima University, Japan
2Department of Engineering Mechanics, Hohai University, China
3Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan

Tài liệu tham khảo

Etube, 2001, Fatigue and fracture mechanics of offshore structures, Bury St Edmunds Bowness, 1995, The development of an accurate model for the fatigue assessment of doubly curved cracks in tubular joints, Int J Fract, 73, 129, 10.1007/BF00055725 Qian, 2013, Fatigue performance of tubular X-joints with PJP+welds: II-Numerical investigation, J Constr Steel Res, 89, 252, 10.1016/j.jcsr.2013.07.003 Qian, 2006, Mode mixity for tubular K-joints with weld toe cracks, Eng Fract Mech, 73, 1321, 10.1016/j.engfracmech.2006.01.014 Yagi, 2017, Evaluation of crack propagation behaviors in a T-shaped tubular joint employing tetrahedral FE modeling, Int J Fatigue, 96, 270, 10.1016/j.ijfatigue.2016.11.028 Department of Energy, Great Britain. Offshore Installations: Guidance on Design, Construction and certification. Merseyside; 1984. Det Norske Veritas. Fatigue design of offshore steel structures, Recommended Practice DNV-RP-C203. Oslo; 2011. Murakami, 1987, vol. 2 Aliabadi MH, Rooke DP. Numerical Fracture Mechanics, Solid mechanics and its applications. Dordrecht; 1991. Irwin, 1957, Analysis of stresses and strains near the end of a crack traversing a plate, J Appl Mech, 24, 361, 10.1115/1.4011547 Paris, 1965, Stress analysis of cracks, ASTM STP, 381, 30 Barsoum, 1979, Analysis of through cracks in cylindrical shells by the quarter-point elements, Int J Fract, 15, 259, 10.1007/BF00033224 Potyondy, 1995, Discrete crack growth analysis methodology for through cracks in pressurized fuselage structures, Int J Numer Meth Eng, 38, 1611, 10.1002/nme.1620381003 Hung, 2004, Analysis of cracked plates and shells using metis finite element model, Finite Elem Anal Des, 40, 855, 10.1016/S0168-874X(03)00117-3 Furukawa, 2009, On the finite element modeling of fatigue crack growth in pressurized cylindrical shells, Int J Fract, 31, 629 Aliabadi, 1997, A new generation of boundary element methods in fracture mechanics, Int J Fract, 86, 91, 10.1023/A:1007381025099 Belytschko, 1994, Element-free Galerkin methods, Int J Numer Meth Eng, 37, 229, 10.1002/nme.1620370205 Liu, 1995, Reproducing kernel particle methods, Int J Numer Meth Fluid, 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 Rabczuk, 2006, A meshfree thin shell for arbitrary evolving cracks based on an extrinsic basis, Comput Model Eng Sci, 16, 115 Xu, 2019, Galerkin free element method and its application in fracture mechanics, Eng Fract Mech, 218, 106575, 10.1016/j.engfracmech.2019.106575 Moës, 1999, A finite element method for crack growth without remeshing, Int J Numer Meth Eng, 46, 131, 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J Hughes, 2005, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Comput Meth Appl Mech Eng, 194, 4135, 10.1016/j.cma.2004.10.008 De Luycker, 2011, X-FEM in isogeometric analysis for linear fracture mechanics, Int J Numer Meth Eng, 87, 541, 10.1002/nme.3121 Tanaka, 2012, A wavelet Galerkin method employing B-spline bases for solid mechanics problems without the use of a fictitious domain, Comput Mech, 50, 35, 10.1007/s00466-011-0671-9 Tanaka, 2013, Two-dimensional fracture mechanics analyses using the wavelet Galerkin method and extended finite element method, Int J Numer Meth Eng, 93, 1082, 10.1002/nme.4433 Tanaka, 2015, An extended wavelet Galerkin method with a high-order B-spline for 2D crack problems, Acta Mech, 226, 2159, 10.1007/s00707-015-1306-6 Tanaka, 2015, Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method, Eng Anal Bound Elem, 58, 129, 10.1016/j.enganabound.2015.04.003 Sannomaru, 2017, Treatment of Dirichlet-type boundary conditions in the spline-based wavelet Galerkin method employing multiple point constraints, Appl Math Model, 43, 592, 10.1016/j.apm.2016.11.018 Silling, 2000, Reformulation of elasticity theory for discontinuities and long-range forces, J Mech Phys Solids, 48, 175, 10.1016/S0022-5096(99)00029-0 Silling, 2005, A meshfree method based on the peridynamic model of solid mechanics, Comput Struct, 83, 1526, 10.1016/j.compstruc.2004.11.026 Madenci, 2014 Imachi, 2018, Mixed-mode dynamic stress intensity factors evaluation using ordinary state-based peridynamics, Theor Appl Fract Mech, 93, 97, 10.1016/j.tafmec.2017.07.008 Imachi, 2019, A computational approach based on ordinary state-based peridynamics with new transition bond for dynamic fracture analysis, Eng Fract Mech, 206, 359, 10.1016/j.engfracmech.2018.11.054 Imachi, 2020, Dynamic crack arrest analysis by ordinary state-based peridynamics, Int J Fract, 221, 155, 10.1007/s10704-019-00416-3 Dirgantara, 2001, Dual boundary element formulation for fracture mechanics analysis of shear deformable shells, Int J Solid Struct, 38, 7769, 10.1016/S0020-7683(01)00097-X Chau-Dinh, 2012, Phantom-node method for shell models with arbitrary cracks, Comput Struct, 92–93, 242, 10.1016/j.compstruc.2011.10.021 Nguyen-Thanh, 2015, An extended isogeometric thin shell analysis based on Kirchhoff-Love theory, Comput Methods Appl Mech Eng, 284, 265, 10.1016/j.cma.2014.08.025 Xing, 2019, Fracture analysis of cracked thin-walled structures using a high-order XFEM and Irwin’s integral, Comput Struct, 212, 1, 10.1016/j.compstruc.2018.10.010 Wang, 2004, Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation, Comput Meth Appl Mech Eng, 193, 1065, 10.1016/j.cma.2003.12.006 Wang, 2011, A Galerkin meshfree method with stabilized conforming nodal integration for geometrically nonlinear analysis of shear deformable plates, Int J Comput Meth, 8, 685, 10.1142/S0219876211002769 Chen, 2000, New boundary condition treatments in meshfree computation of contact problems, Comput Methods Appl Mech Eng, 187, 441, 10.1016/S0045-7825(00)80004-3 Chen, 2001, A stabilized conforming nodal integration for Galerkin meshfree methods, Int J Numer Meth Eng, 50, 435, 10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A Chen, 2002, Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods, Int J Numer Meth Eng, 53, 2587, 10.1002/nme.338 Wang, 2008, A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration, Int J Numer Meth Eng, 74, 368, 10.1002/nme.2175 Wang, 2010, Free vibration analysis of thin plates using Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration, Comput Mech, 46, 703, 10.1007/s00466-010-0511-3 Wang, 2011, Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures, Comput Mech, 48, 47, 10.1007/s00466-011-0580-y Yoshida, 2017, Meshfree flat-shell formulation for evaluating linear buckling loads and mode shapes of structural plates, J Mar Sci Tech, 22, 501, 10.1007/s00773-017-0433-2 Sadamoto, 2017, Buckling analysis of stiffened plate structures by an improved meshfree flat shell formulation, Thin-Walled Struct, 117, 303, 10.1016/j.tws.2017.04.012 Ozdemir, 2018, Application of 6-DOF meshfree modeling to the linear buckling analysis of stiffened plates with curvilinear surface, Acta Mech, 229, 4995, 10.1007/s00707-018-2275-3 Sadamoto, 2017, An effective meshfree reproducing kernel method for buckling analysis of cylindrical shells with and without cutouts, Comput Mech, 59, 919, 10.1007/s00466-017-1384-5 Ozdemir, 2018, Numerical buckling analysis for flat and cylindrical shells including through crack employing effective reproducing kernel meshfree modeling, Eng Anal Bound Elem, 97, 55, 10.1016/j.enganabound.2018.09.005 Tanaka, 2015, Analysis of cracked shear deformable plates by an effective meshfree plate formulation, Eng Fract Mech, 144, 142, 10.1016/j.engfracmech.2015.06.084 Tanaka, 2016, J-integral evaluation for 2D mixed-mode crack problems employing a meshfree stabilized conforming nodal integration method, Comput Mech, 58, 185, 10.1007/s00466-016-1288-9 Tanaka, 2017, Accurate evaluation of mixed-mode intensity factors of cracked shear-deformable plates by an enriched meshfree Galerkin formulation, Arch Appl Mech, 87, 279, 10.1007/s00419-016-1193-x Tanaka, 2019, Stress resultant intensity factors evaluation of cracked folded structures employing 6DOF meshfree modeling, Thin-Walled Struct, 144, 106285, 10.1016/j.tws.2019.106285 Sadamoto, 2020, Finite rotation meshfree formulation for geometrically nonlinear analysis of flat, curved and folded shells, Int J Non-linear Mech, 119, 103300, 10.1016/j.ijnonlinmec.2019.103300 Noguchi, 2000, Element free analyses of shell and spatial structures, Int J Numer Meth Eng, 47, 1215, 10.1002/(SICI)1097-0207(20000228)47:6<1215::AID-NME834>3.0.CO;2-M Organ, 1996, Continuous meshless approximations for nonconvex bodies by diffraction and transparency, Comput Mech, 18, 225, 10.1007/BF00369940 Joyot, 2005, Enriched reproducing kernel approximation: Reproducing functions with discontinuous derivatives, Lecture Notes Comput Sci Eng, 43, 93, 10.1007/3-540-27099-X_6 Ishikawa, 1980, A finite element analysis of stress intensity factors for combined tensile and shear loading by only a virtual crack extension, Int J Fract, 16, R243, 10.1007/BF00016590 Raju, 1990, An equivalent domain integral method in the two-dimensional analysis of mixed mode crack problems, Eng Fract Mech, 37, 707, 10.1016/0013-7944(90)90070-W Dirgantara, 2002, Stress intensity factors for cracks in thin plates, Eng Fract Mech, 69, 1465, 10.1016/S0013-7944(01)00136-9 Dirgantara, 2000 Rice, 1968, A path independent integral and approximate analysis of strain concentration by notches and cracks, J Appl Mech, 35, 379, 10.1115/1.3601206 Chen, 2006, A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates, Int J Numer Meth Eng, 68, 151, 10.1002/nme.1701 Wang, 2015, A circumferentially enhanced Hermite reproducing kernel meshfree method for buckling analysis of Kirchhoff-Love cylindrical shells, Int J Struct Stabil Dynam, 15, 1450090, 10.1142/S0219455414500904 Hibbitt, Karlsson, Sorensen, Inc. ABAQUS/standard user’s manual, v. 6.5. Pawtucket, Rhode Island; 2004. Folias, 1969, On the effect of initial curvature on cracked flat sheets, Int J Fract Mech, 5, 327, 10.1007/BF00190962 BS 7910. Guide to methods for assessing the acceptability of flaws in metallic structures. British Standards Institution; 2005.