Fracture parameter analysis of flat shells under out-of-plane loading using ordinary state-based peridynamics

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, 2007, Peridynamic states and constitutive modeling, J Elasticity, 88, 151, 10.1007/s10659-007-9125-1 Silling, 2010, Crack nucleation in a peridynamic solid, Int J Fract, 162, 219, 10.1007/s10704-010-9447-z Agwai, 2011, Predicting crack propagation with peridynamics: A comparative study, Int J Fract, 171, 65, 10.1007/s10704-011-9628-4 Ha, 2010, Studies of dynamic crack propagation and crack branching with peridynamics, Int J Fract, 162, 229, 10.1007/s10704-010-9442-4 Imachi, 2020, Dynamic crack arrest analysis by ordinary state-based peridynamics, Int J Fract, 221, 155, 10.1007/s10704-019-00416-3 O’Grady, 2014, Peridynamic plates and flat shells: A non-ordinary, state-based model, Int J Solids Struct, 51, 4572, 10.1016/j.ijsolstr.2014.09.003 Yang, 2020, A Kirchhoff plate formulation in a state-based peridynamic framework, Math Mech Solids, 25, 727, 10.1177/1081286519887523 Diyaroglu, 2015, Peridynamics for bending of beams and plates with transverse shear deformation, Int J Solids Struct, 69, 152, 10.1016/j.ijsolstr.2015.04.040 Nguyen, 2019, Peridynamics for the thermomechanical behavior of shell structures, Eng Fract Mech, 219, 10.1016/j.engfracmech.2019.106623 Nguyen, 2020, Investigating the effect of brittle crack propagation on the strength of ship structures by using peridynamics, Ocean Eng, 209, 10.1016/j.oceaneng.2020.107472 Sosa, 1986, Computation of stress intensity factors for plate bending via a path-independent integral, Eng Fract Mech, 25, 451, 10.1016/0013-7944(86)90259-6 Sosa, 1989, On invariant integrals in the analysis of cracked plates, Int J Fract, 40, 111, 10.1007/BF00963970 Zhender, 2005, Fracture mechanics of thin plates and shells under combined membrane, bending and twisting loads, Appl Mech Rev, 58, 37, 10.1115/1.1828049 Dirgantara, 2002, Stress intensity factors for cracks in thin plates, Eng Fract Mech, 69, 1465, 10.1016/S0013-7944(01)00136-9 Dolbow, 2000, Discontinuous enrichment in finite elements with a partition of unity method, Finite Elem Anal Des, 35, 235, 10.1016/S0168-874X(00)00035-4 Dolbow, 2000, Modeling fracture in Mindlin-Reissner plates with the extended finite element method, Int J Solids Struct, 37, 7161, 10.1016/S0020-7683(00)00194-3 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 Engrg, 284, 265, 10.1016/j.cma.2014.08.025 Yu, 2020, Error-controlled adaptive LR B-splines XIGA for assessment of fracture parameters in through-cracked Mindlin-Reissner plates, Eng Fract Mech, 229, 10.1016/j.engfracmech.2020.106964 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, 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 Silling, 2010, Peridynamic theory of solid mechanics, Adv Appl Mech, 44, 73, 10.1016/S0065-2156(10)44002-8 Hu, 2012, The formulation and computation of the nonlocal J-integral in bond-based peridynamics, Int J Fract, 176, 195, 10.1007/s10704-012-9745-8 Le, 2018, Surface corrections for peridynamic models in elasticity and fracture, Comput Mech, 61, 499, 10.1007/s00466-017-1469-1 Stenström, 2019, The J-contour integral in peridynamics via displacements, Int J Fract, 216, 173, 10.1007/s10704-019-00351-3 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 Jung, 2017, Mixed-mode fatigue crack growth analysis using peridynamic approach, Int J Fatigue, 103, 591, 10.1016/j.ijfatigue.2017.06.008 Madenci, 2016, Ordinary state-based peridynamics for plastic deformation according to von Mises yield criteria with isotropic hardening, J Mech Phys Solids, 86, 192, 10.1016/j.jmps.2015.09.016 Madenci, 2014 Breitenfeld, 2014, Non-ordinary state-based peridynamic analysis of stationary crack problems, Comput Methods Appl Mech Engrg, 272, 233, 10.1016/j.cma.2014.01.002 Dai, 2021, Mixed-mode stress intensity factors evaluation of flat shells under in-plane loading employing ordinary state-based peridynamics, Theor Appl Fract Mech, 10.1016/j.tafmec.2020.102841 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, 2016, Peridynamic differential operator and its applications, Comput Methods Appl Mech Engrg, 304, 408, 10.1016/j.cma.2016.02.028 1977 Joseph, 1991, Bending of a thin Reissner plate with a through crack, J Appl Mech, 58, 842, 10.1115/1.2897273