Mechanical modelling of three-dimensional cracked structural components using the isogeometric dual boundary element method
Tài liệu tham khảo
Citarella, 2010, Comparison of DBEM and FEM crack path predictions in a notched shaft under torsion, Eng. Fract. Mech., 77, 1730, 10.1016/j.engfracmech.2010.03.012
Brighenti, 2013, Surface cracks in fatigued structural components: a review, Fatigue Fract. Eng. Mater., 36, 1209, 10.1111/ffe.12100
Giannella, 2017, Efficient FEM-DBEM coupled approach for crack propagation simulations, Theor. Appl. Fract. Mech., 91, 76, 10.1016/j.tafmec.2017.04.003
Kim, 2011, Parallel simulations of three-dimensional cracks using the generalized finite element method, Comput. Mech., 47, 265, 10.1007/s00466-010-0546-5
Banks-Sills, 1986, Comparison of methods for calculating stress intensity factors with quarter-point elements, Int. J. Fract., 32, 127, 10.1007/BF00019788
Banks-Sills, 2005, Methods for calculating stress intensity factors in anisotropic materials: part I–z=0 is a symmetric plane, Eng. Fract. Mech., 72, 2328, 10.1016/j.engfracmech.2004.12.007
Gupta, 2017, Accuracy and robustness of stress intensity factor extraction methods for the generalized/extended finite element method, Eng. Fract. Mech., 179, 120, 10.1016/j.engfracmech.2017.03.035
Rice, 1968, A path independent integral and the approximate analysis of strain concentration by notches and cracks, J. Appl. Mech., 35, 379, 10.1115/1.3601206
Moran, 1987, Crack tip and associated domain integrals from momentum and energy balance, Eng. Fract. Mech., 27, 615, 10.1016/0013-7944(87)90155-X
Stern, 1976, A contour integral computation of mixed-mode stress intensity factors, Int. J. Fract., 12, 359, 10.1007/BF00032831
B.A. Szabo, I. Babuska, Computation of the amplitude of stress singular terms for cracks and reentrant corners, Proceedings of Nineteenth Symposium on Fracture Mechanics, ASTM STP 969. (1988) 101–124.
Wang, 2017, 3-D local mesh refinement XFEM with variable-node hexahedron elements for extraction of stress intensity factors of straight and curved planar cracks, Comput. Methods Appl. Mech. Eng., 313, 375, 10.1016/j.cma.2016.10.011
Gonzalez-Albuixech, 2013, Domain integral formulation for 3-d curved and non-planar cracks with the extended finite element method, Comput. Methods Appl. Mech. Eng., 264, 129, 10.1016/j.cma.2013.05.016
Peng, 2017, Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth, Comput. Methods Appl. Mech. Eng., 316, 151, 10.1016/j.cma.2016.05.038
Ray, 2014, Surface remeshing with robust high-order reconstruction, Eng. Comput., 30, 487, 10.1007/s00366-014-0359-9
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
Wu, 2016, Edge-based smoothed extended finite element method for dynamic fracture analysis, Appl. Math. Model., 40, 8564, 10.1016/j.apm.2016.05.027
Hughes, 2005, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Comput. Methods Appl. Mech. Eng., 194, 4135, 10.1016/j.cma.2004.10.008
Cottrell, 2009
Cottrell, 2006, Isogeometric analysis of structural vibrations, Comput. Methods Appl. Mech. Eng., 195, 5257, 10.1016/j.cma.2005.09.027
Bazilevs, 2010, Isogeometric analysis using T-splines, Comput. Methods Appl. Mech. Eng., 199, 229, 10.1016/j.cma.2009.02.036
Simpson, 2012, A two-dimensional isogeometric boundary element method for elastostatic analysis, Comput. Methods Appl. Mech. Eng., 209–212, 87, 10.1016/j.cma.2011.08.008
Lian, 2013, Stress analysis without meshing: isogeometric boundary-element method for elastostatic analysis, Proc. Inst. Civil Eng.: Eng. Comput. Mech., 166, 88
Scott, 2013, Isogeometric boundary element analysis using unstructured T-splines, Comput. Methods Appl. Mech. Eng., 254, 197, 10.1016/j.cma.2012.11.001
An, 2018, Implementation of isogeometric boundary element method for 2-D steady heat transfer analysis, Adv. Eng. Softw., 116, 36, 10.1016/j.advengsoft.2017.11.008
Sun, 2018, Structural shape optimization by IGABEM and particle swarm optimization algotithm, Eng. Anal. Bound. Elem., 88, 26, 10.1016/j.enganabound.2017.12.007
Aliabadi, 1996, Boundary element formulations if fracture mechanics: a review, Trans. Eng. Sci., 13, 1
Hong, 1988, Derivations of integral equations of elasticity, J. Eng. Mech., 114, 1028, 10.1061/(ASCE)0733-9399(1988)114:6(1028)
Portela, 1992, The dual boundary element method: effective implementation for crack problems, Int. J. Numer. Methods Eng., 33, 1269, 10.1002/nme.1620330611
Xiao, 2011, A three-dimensional displacement discontinuity method for crack problems in layered rocks, Int. J. Rock Mech. Min. Sci., 48, 412, 10.1016/j.ijrmms.2011.02.005
Oliveira, 2014, An alternative BEM formulation, based on dipoles of stresses and tangent operator technique, applied to cohesive crack growth modelling, Eng. Anal. Bound. Elem., 41, 74, 10.1016/j.enganabound.2014.01.002
Mi, 1992, Dual boundary element method for three-dimensional fracture mechanics analysis, Eng. Anal. Bound. Elem., 10, 161, 10.1016/0955-7997(92)90047-B
Cisilino, 1999, Three-dimensional boundary element analysis of fatigue crack growth in linear and non-linear fracture problems, Eng. Fract. Mech., 63, 713, 10.1016/S0013-7944(99)00047-8
Lei, 2014, Comparison of several BEM-based approaches in evaluating crack-tip intensity factors in piezoelectric materials, Int. J. Fract., 189, 111, 10.1007/s10704-014-9964-2
Lei, 2017, Numerical simulation of crack growth in piezoelectric structures by BEM, Eng. Anal. Bound. Elem., 85, 30, 10.1016/j.enganabound.2017.09.015
Toledo, 2017, A methodology for the multi-objective shape optimization of thin noise barriers, Appl. Math. Model., 50, 656, 10.1016/j.apm.2017.06.020
Peng, 2017, Linear elastic fracture simulation directly form CAD: 2D NURBS-based implementation and role of tip enrichment, Int. J. Fract., 204, 55, 10.1007/s10704-016-0153-3
Bui, 2015, Extended isogeometric dynamic and static fracture analysis for cracks in piezoelectric materials using NURBS, Comput. Methods Appl. Mech. Eng., 295, 470, 10.1016/j.cma.2015.07.005
Bui, 2016, Extended isogeometric analysis for dynamic fracture in multiphase piezoelectric/piezomagnetic composites, Mech. Mater., 97, 135, 10.1016/j.mechmat.2016.03.001
Phung-Van, 2015, An efficient computational approach for control of nonlinear transient responses of smart piezoelectric composite plates, Int. J. Non-Linear Mech., 76, 190, 10.1016/j.ijnonlinmec.2015.06.003
Kiendl, 2009, Isogeometric shell analysis with Kirchhoff-Love elements, Comput. Methods Appl. Mech. Eng., 198, 3902, 10.1016/j.cma.2009.08.013
Thai, 2016, A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis, Acta Mech., 227, 1225, 10.1007/s00707-015-1547-4
Phung-Van, 2017, An isogeometric approach for size-dependent geometrically nonlinear transient analysis of functionally graded nanoplates, Compos. Part B., 118, 125, 10.1016/j.compositesb.2017.03.012
Phung-Van, 2015, Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory, Compos. Struct., 123, 137, 10.1016/j.compstruct.2014.12.021
Williams, 1956, On the stress distribution at the base of a stationary crack, J. Appl. Mech., 24, 109, 10.1115/1.4011454
Guiggiani, 1990, A general algorithm for multidimensional cauchy principal value integrals in the boundary element method, J. Appl. Mech., 57, 906, 10.1115/1.2897660
Guiggiani, 1992, A general algorithm for the numerical solution of hypersingular boundary integral equations, J. Appl. Mech., 59, 604, 10.1115/1.2893766
Cox, 1971, The numerical evaluation of B-splines
De Boor, 1972, On calculation with B-splines, J. Approx. Theory, 6, 50, 10.1016/0021-9045(72)90080-9
Piegl, 1995
Greville, 1964, Numerical procedures for interpolation by spline functions, J. Soc. Ind. Appl. Math.: Series B, Numer. Anal., 1, 53
Aliabadi, 1985, Taylor expansions for singular kernels in the boundary element method, Int. J. Numer. Methods Eng., 21, 2221, 10.1002/nme.1620211208
Murakami, 1987
