Meshless analysis for cracked shallow shell

Miyamoto, 1999 Reddy, 1984, Exact solutions of moderately thick laminated shells, J Eng Mech, 110, 749, 10.1061/(ASCE)0733-9399(1984)110:5(794) Reissner, 1950, On a variational theorem in elasticity, J Math Phys, 29, 90, 10.1002/sapm195029190 Dong, 1962, On the theory of laminated anisotropic shells and plates, J Aerosp Sci, 29, 969, 10.2514/8.9668 Dong, 1972, On a laminated orthotropic shell theory including transverse shear deformation, J Appl Mech, 39, 1091, 10.1115/1.3422834 Whitney, 1973, A higher order theory for extensional motion of laminated anisotropic shells and plates, J Sound Vib, 30, 85, 10.1016/S0022-460X(73)80052-5 Reddy, 1985, A higher-order shear deformation theory of laminated elastic shells, Int J Eng Sci, 23, 319, 10.1016/0020-7225(85)90051-5 Zienkiewicz, 1994, The finite element method Ehlers, 1986, Stress intensity factors and crack opening areas for axial through cracks in hollow cylinders under internal pressure loading, Eng Frat Mech, 25, 63, 10.1016/0013-7944(86)90204-3 Jaswon, 1967, Numerical biharmonic analysis and some applications, Int J Solids Struct, 3, 309, 10.1016/0020-7683(67)90032-7 Vander Weeën, 1982, Application of the boundary integral equation method to Reissner’s plate model, Int J Numer Methods Eng, 18, 1, 10.1002/nme.1620180102 Karam, 1988, On the boundary elements for Reisner's pate theory, Eng Anal, 5, 21, 10.1016/0264-682X(88)90029-9 Dirgantara, 1999, A new boundary element formulation for shear deformable shells analysis, Int J Numer Methods Eng, 45, 1257, 10.1002/(SICI)1097-0207(19990730)45:9<1257::AID-NME629>3.0.CO;2-N Dirgantara, 2000, Crack growth analysis of plate loaded bending and tension using dual boundary element method, Int J Fract, 105, 27, 10.1023/A:1007696111995 Dirgantara, 2000, Dual boundary element formulation for fracture mechanics analysis of shear deformable shells, Int J Solids Struct, 38, 7769, 10.1016/S0020-7683(01)00097-X Wen, 2003, Fracture mechanics analysis of curved stiffened panels using BEM, Int J Solids Struct, 40, 219, 10.1016/S0020-7683(02)00498-5 Wen, 2004, Crack growth analysis for multi-layered airframe structures by boundary element method, Eng Fract Mech, 71, 619, 10.1016/S0013-7944(03)00021-3 Wen, 2005, Large deformation analysis of Reissner plate by boundary element method, Comput Struct, 83, 870, 10.1016/j.compstruc.2004.09.013 Aliabadi, 2002, The boundary element method Nayroles, 1992, Generalizing the finite element method: diffuse approximation and diffuse elements, Comput Mech, 10, 307, 10.1007/BF00364252 Belytschko, 1994, Element-free Galerkin method, Int J Numer Methods Eng, 37, 229, 10.1002/nme.1620370205 Liu, 1995, Reproducing kernel particle methods, Int J Numer Methods Eng, 20, 1081, 10.1002/fld.1650200824 Atluri, 1998, A new meshless local Peyrov-Galerkin (MLPG) approach to nonlinear problems in computational modelling and simulation, Comput Model Simul Eng, 3, 187 Atluri, 1998, A new meshless local Peyrov-Galerkin (MLPG) approach in computational mechanics, Comput Mech, 22, 117, 10.1007/s004660050346 Atluri, 2004 Sladek, 2004, Heat conduction analysis in nonhomogeneous anisotropic solid, 609 Sladek, 2004, Meshless Local Petrov-Galerkin method for heat conduction problem in an anisotropic medium, Comput Model Eng Sci, 6, 309 Fu, 2020, A boundary collocation method for anomalous heat conduction analysis in functionally graded materials, Comput Math Appl Fu, 2018, A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations, Comput Math Appl, 76, 760, 10.1016/j.camwa.2018.05.017 Xi, 2019, An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load, Comput Mech, 64, 1221, 10.1007/s00466-019-01701-7 Liu, 2010 Wen, 2014, Finite Block Method in elasticity, Eng Anal Boundary Elem, 46, 116, 10.1016/j.enganabound.2014.05.006 Li, 2014, Finite block method for transient heat conduction analysis in functionally graded media, Int J Numer Methods Eng, 99, 372, 10.1002/nme.4693 Sladek, 2005, Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients, J Eng Math, 51, 261, 10.1007/s10665-004-3692-y Sladek, 2005, Domain element local integral equation method for potential problems in anisotropic and functionally graded materials, Comput Mech, 37, 78, 10.1007/s00466-005-0705-2 Sladek, 2008, The use of finite elements for approximation of field variables on local sub-domains in a mesh-free way Durbin, 1974, Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate’s method, Comput J, 17, 371, 10.1093/comjnl/17.4.371 Sih, GC, Hagendorf, HC, Thin-shell structures: theory, experiment and design,FungYC SechlerEE, Prentice-Hall, Englewood Cliffs, N.J., 1974. Chen, 2000, A modified J integral for functionally graded materials, Mech Res Commun, 27, 301, 10.1016/S0093-6413(00)00096-3 Kim, 2002, Finite element evaluation of mixed mode stress intensity factors in functionally graded materials, Int J Numer Methods Eng, 53, 1903, 10.1002/nme.364 Wen, 2008, The Fundamental solution of Mindlin plates resting on an elastic foundation in the Laplace domain and its applications, Int J Solids Struct, 45, 1032, 10.1016/j.ijsolstr.2007.09.020