Meshless methods for the simulation of material forming

1. Alfaro I, Bel D, Cueto E, Doblare M, Chinesta F (2006) Three-dimensional simulation of aluminium extrusion by the α-shape based natural element method. Comput Methods Appl Mech Eng 195(33–36):4269–4286. doi: 10.1016/j.cma.2005.08.006 . http://www.sciencedirect.com/science/article/pii/S004578250500354310.1016/j.cma.2005.08.006 ↗

2. Alfaro I, Yvonnet J, Cueto E, Chinesta F, Doblare M (2006) Meshless methods with application to metal forming. Comput Methods Appl Mech Eng 195(48–49):6661–6675. doi: 10.1016/j.cma.2004.10.017 . http://www.sciencedirect.com/science/article/pii/S004578250500480910.1016/j.cma.2004.10.017 ↗

3. Alfaro I, Yvonnet J, Chinesta F, Cueto E (2007) A study on the performance of natural neighbour-based galerkin methods. Int J Numer Methods Eng 71(12):1436–1465. doi: 10.1002/nme.199310.1002/nme.1993 ↗

4. Alfaro I, Fratini L, Cueto E, Chinesta F (2008) Numerical simulation of friction stir welding by natural element methods. Int J Mater Form 1(1):1079–1082. doi: 10.1007/s12289-008-0206-x10.1007/s12289-008-0206-x ↗

5. Alfaro I, Gagliardi F, Olivera J, Cueto E, Filice L, Chinesta F (2009) Simulation of the extrusion of hollow profiles by natural element methods. Int J Mater Form 2(1):597–600. doi: 10.1007/s12289-009-0614-610.1007/s12289-009-0614-6 ↗

6. Arroyo M, Ortiz M (2006) Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. Int J Numer Methods Eng 65(13):2167–2202. doi: 10.1002/nme.153410.1002/nme.1534 ↗

7. Atluri S, Zhu T (2000) New concepts in meshless methods. Int J Numer Methods Eng 47:537–55610.1002/(SICI)1097-0207(20000110/30)47:1/3<537::AID-NME783>3.0.CO;2-E ↗

8. Atluri S, Kim HG, Cho JY (1999) A critical assesment of the truly meshless local Petrov-Galerkin and local boundary integral equation methods. Comput Mech 24:348–37210.1007/s004660050457 ↗

9. Babuška I, Melenk JM (1996) The partition of unity finite element method: basic theory and applications. Comp Meth Appl Mech Eng 4:289–314

10. Babuška I, Melenk JM (1997) The partition of unity method. Int J Numer Methods Eng 40:727–75810.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N ↗

11. Babuška I, Banerjee U, Osborn J (2002) Meshless and generalized finite element methods: a survey of some major results. Tech. Rep. TICAM 02-03. Texas Institute for Computational and Applied Mathematics, University of Texas atAustin10.1007/978-3-642-56103-0_1 ↗

12. Belikov VV, Semenov AY (1998) Non-sibsonian interpolation on arbitrary system of points in euclidean space and adaptive generating isolines algorithm. In: Cross M, Soni BK, Thompson JF, Hauser J, Eiseman PR (eds) Numerical grid generation in computational field simulations. University of Greenwich, London, pp 277–286

13. Belikov VV, Ivanov VD, Kontorovich VK, Korytnik SA, Semenov AY (1997) The non-sibsonian interpolation: a new method of interpolation of the values of a function on an arbitrary set of points. Comput Math Math Phys 37(1):9–15

14. Belytschko T, Lu YY, Gu L (1993) Crack propagation by element free galerkin methods. Adv Comput Methods Mater Model 180:268

15. Belytschko T, Lu YY, Gu L (1994) Element-free Galerkin methods. Int J Numer Methods Eng 37:229–25610.1002/nme.1620370205 ↗

16. Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P (1998) Meshless methods: an overview and recent developments. Comput Methods Appl Mech Eng 139:3–4710.1016/S0045-7825(96)01078-X ↗

17. Belytschko T, Rabczuk T, Huerta A, Fernández-Méndez S (2004) Encyclopaedia of computational mechanics, chap Meshfree Methods. Wiley. doi: 10.1002/0470091355ecm005

18. Birknes J, Pedersen G (2006) A particle finite element method applied to long wave run-up. Int J Numer Methods Fluids 52:237–26110.1002/fld.1172 ↗

19. Cante J, Riera MD, Oliver J, Prado J, Isturiz A, Gonzalez C (2011) Flow regime analyses during the filling stage in powder metallurgy processes: experimental study and numerical modelling. Granul Matter 13(1):79–92. doi: 10.1007/s10035-010-0225-410.1007/s10035-010-0225-4 ↗

20. Castellazzi G, Krysl P (2009) Displacement-based finite elements with nodal integration for Reissner-Mindlin plates. Int J Numer Methods Eng 80(2):135–162. doi: 10.1002/nme.262210.1002/nme.2622 ↗

21. Chen JS, Wang HP (2000) New boundary condition treatments in meshfree computation of contact problems. Comput Methods Appl Mech Eng 187(34):441–468. doi: 10.1016/S0045-78250080004-310.1016/S0045-7825(00)80004-3 ↗

22. Chen JS, Roque CMOL, Pan C, Button ST (1998) Analysis of metal forming process based on meshless method. J Mater Process Technol 80–81(0):642–646. doi: 10.1016/S0924-0136(98)00171-X10.1016/S0924-0136(98)00171-X ↗

23. Chen JS, Wu CT, Yoon S, You Y (2001) A stabilized conforming nodal integration for galerkin mesh-free methods. Int J Numer Methods Eng 50:435–46610.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A ↗

24. Chinesta F, Cueto E (2007) Advances in material forming. ESAFORM: 10 years on chap. New and advanced numerical strategies for material forming. Springer

25. Chinesta F, Lorong P, Ryckelynck D, Martinez MA, Cueto E, Doblare M, Coffignal M, Touratier M, Yvonnet J (2004) Thermomechanical cutting model discretisation. Eulerian or Lagrangian, Mesh or Meshless? Int J Form Process 7:83–9710.3166/ijfp.7.83-97 ↗

26. Chinesta F, Ammar A, Mackley M, Cueto E, Regnier G, Chatel S (2009) Modeling nanocomposites: from rheology to forming processes simulation. Int J Mater Form 2(1):141–144. doi: 10.1007/s12289-009-0453-510.1007/s12289-009-0453-5 ↗

27. Chinesta F, Cescotto S, Cueto E, Lorong P (2009) La méthode des éléments naturels dans la simulation des structures et des procédés. Hermes Lavoisier, Paris

28. Chinesta F, Cescotto S, Cueto E, Lorong P (2011) Natural element method for the simulation of structures and processes. Wiley, London

29. Cueto E, Doblare M, Gracia L (2000) Imposing essential boundary conditions in the natural element method by means of density-scaled α-shapes. Int J Numer Methods Eng 49–4:519–54610.1002/1097-0207(20001010)49:4<519::AID-NME958>3.0.CO;2-0 ↗

30. Cueto E, Calvo B, Doblare M (2002) Modeling three-dimensional piece-wise homogeneous domains using the α-shape based natural element method. Int J Numer Methods Eng 54:871–89710.1002/nme.452 ↗

31. Cueto E, Cegonino J, Calvo B, Doblare M (2003) On the imposition of essential boundary conditions in natural neighbour Galerkin methods.Commun Numer Methods Eng 19(5):361–37610.1002/cnm.595 ↗

32. Cueto E, Sukumar N, Calvo B, Martinez MA, Cegonino J, Doblare M (2003) Overview and recent advances in natural neighbour Galerkin methods. Arch Comput Methods Eng 10(4):307–38410.1007/BF02736253 ↗

33. Cueto E, Ma A, Chinesta F, Mackley M (2008) Numerical simulation of spin coating processes involving functionalised carbon nanotube suspensions. Int J Mater Form 1(2):89–99. doi: 10.1007/s12289-008-0377-510.1007/s12289-008-0377-5 ↗

34. Cueto E, Ma A, Chinesta F, Mackley M (2008) Numerical simulation of spin coating processes with carbon nanotubes suspensions. Int J Mater Form 1(1):711–714. doi: 10.1007/s12289-008-0314-710.1007/s12289-008-0314-7 ↗

35. Cueto E, Monge R, Chinesta F, Poitou A, Alfaro I, Mackley M (2010) Rheological modeling and forming process simulation of cnt nanocomposites. Int J Mater Form 3(2):1327–1338. doi: 10.1007/s12289-009-0659-610.1007/s12289-009-0659-6 ↗

36. Cueto E, Laso M, Chinesta F (2011) Meshless stochastic simulation of micro-macro kinetic theory models. Int J Multiscale Comput Eng 9(1):1–1610.1615/IntJMultCompEng.v9.i1.20 ↗

37. Cyron CJ, Arroyo M, Ortiz M (2009) Smooth, second order, non-negative meshfree approximants selected by maximum entropy. Int J Numer Methods Eng 79(13):1605–1632. doi: 10.1002/nme.259710.1002/nme.2597 ↗

38. De S, Bathe KJ (2001) The method of finite spheres with improved numerical integration. Comput Struct 79:2183–219610.1016/S0045-7949(01)00124-9 ↗

39. De S, Bathe KJ (2001) Towards an efficient meshless computational technique: the method of finite spheres. Eng Comput 18:170–19210.1108/02644400110365860 ↗

40. Delaunay B (1934) Sur la Sphre Vide. A la memoire de Georges Voronoi. Izvestia Akademii Nauk SSSR, Otdelenie Matematicheskii i Estestvennyka Nauk 7:793–800

41. Dolbow J, Belytschko T (1999) Numerical integration of the Galerkin weak form in meshfree methods. Comput Math Model 23:219–230

42. Duarte CAM, Oden JT (1996) An h-p adaptive method using clouds. Comput Methods Appl Mech Eng 139:237–26210.1016/S0045-7825(96)01085-7 ↗

43. Edelsbrunner H, Mcke E (1994) Three dimensional alpha shapes. ACM Trans Graph 13:43–7210.1145/174462.156635 ↗

44. Edelsbrunner H, Kirkpatrick DG, Seidel R (1983) On the shape of a set of points in the plane. IEEE Trans Inf Theory 29(4):551–55910.1109/TIT.1983.1056714 ↗

45. Elmer W, Chen J, Puso M, Taciroglu E (2012) A stable, meshfree, nodal integration method for nearly incompressible solids. Finite Elem Anal Des 51:81–85. doi: 10.1016/j.finel.2011.11.001 , http://www.sciencedirect.com/science/article/pii/S0168874X1100215010.1016/j.finel.2011.11.001 ↗

46. Farin G (2002) Curves and surfaces for CAGD. Morgan Kaufmann, San Francisco

47. Fernandez-Mendez S, Huerta A (2002) Coupling finite elements and particles for adaptivity: an application to consistently stabilized convection-diffusion. In: Meshfree methods for partial differential equations. Lecture notes in computational science and engineering, vol 26. Springer-Verlag, pp 117–12910.1007/978-3-642-56103-0_9 ↗

48. Fernández-Méndez S, Huerta A (2004) Imposing essential boundary conditions in mesh-free methods. Comput Methods Appl Mech Eng 193:1257–127510.1016/j.cma.2003.12.019 ↗

49. Filice L, Alfaro I, Gagliardi F, Cueto E, Micari F, Chinesta F (2009) A preliminary comparison between finite element and meshless simulations of extrusion. J Mater Process Technol 209(6): 3039–3049. doi: 10.1016/j.jmatprotec.2008.07.013 . http://www.sciencedirect.com/science/article/pii/S092401360800569410.1016/j.jmatprotec.2008.07.013 ↗

50. Gagliardi F, Alfaro I, Ambrogio G, Filice L, Cueto E (2013) NEM-FEM comparison on porthole die extrusion of AA-6082. J Mech Sci Technol 27(4):1089–1095. doi: 10.1007/s12206-013-0229-110.1007/s12206-013-0229-1 ↗

51. Galavis A, Gonzalez D, Cueto E, Chinesta F, Doblare M (2007) A natural element updated lagrangian approach for modelling fluid structure interactions. Eur J Comput Mech/Revue Europeenne de Mecanique Numerique 16(3–4):323–336. doi: 10.3166/remn.16.323-336

52. Galavis A, Gonzalez D, Cueto E (2012) A natural neighbour Lagrange-Galerkin method for the simulation of Newtonian and Oldroyd-B free surface flows. Int J Numer Methods Fluids 70(7):860–885. doi: 10.1002/fld.271810.1002/fld.2718 ↗

53. Galavis A, Gonzalez D, Alfaro I, Cueto E (2008) Improved boundary tracking in meshless simulations of free-surface flows. Comput Mech 42(3):467–479. doi: 10.1007/s00466-008-0263-510.1007/s00466-008-0263-5 ↗

54. Garcia J, Gascon L, Cueto E, Ordeig I, Chinesta F (2009) Meshless methods with application to liquid composite molding simulation. Comput Methods Appl Mech Eng 198(33–36):2700–2709. doi: 10.1016/j.cma.2009.03.010 , http://www.sciencedirect.com/science/article/pii/S004578250900135210.1016/j.cma.2009.03.010 ↗

55. Garcia-Aznar JM, Cueto E, Doblare M (2000) Simulation of bone internal remodeling by means of the α-shape based Natural Element Method. In: Proceedings of the ECCOMAS conference. Barcelona

56. Gavete L, Benito JJ, Falco S, Ruiz A (2000) Implementation of essential boundary conditions in a meshless method. Commun Numer Methods Eng 16(6):409–421. doi: 10.1002/1099-0887(200006)16:6<409::AID-CNM349>3.0.CO;2-Z10.1002/1099-0887(200006)16:6<409::AID-CNM349>3.0.CO;2-Z ↗

57. Gingold R, Monahan JJ (1977) Smoothed particle hydrodynamics: theory and applications to non-spherical stars. Mon Not Roy Astron Soc 181:375–38910.1093/mnras/181.3.375 ↗

58. Gonzalez D, Cueto E, Doblare M (2004) Volumetric locking in natural neighbour Galerkin methods. Int J Numer Methods Eng 61:611–63210.1002/nme.1085 ↗

59. Gonzalez D, Cueto E, Martinez MA, Doblare M (2004) Numerical integration in natural neighbour Galerkin methods. Int J Numer Methods Eng 60(12):2077–210410.1002/nme.1038 ↗

60. Gonzalez D, Bel D, Cueto E, Chinesta F, Doblare M (2007) Natural neighbour strategies for the simulation of laser surface coating processes. Int J Form Process 10:89–10810.3166/ijfp.10.89-108 ↗

61. Gonzalez D, Cueto E, Chinesta F, Doblare M (2007) A natural element updated lagrangian strategy for free-surface fluid dynamics. J Comput Phys 223(1):127–150. doi: 10.1016/j.jcp.2006.09.002 , http://www.sciencedirect.com/science/article/pii/S002199910600429310.1016/j.jcp.2006.09.002 ↗

62. Gonzalez D, Cueto E, Doblare M (2008) Higher-order natural element methods: towards an isogeometric meshless method. Int J Numer Methods Eng 74(13):1928–1954. doi: 10.1002/nme.223710.1002/nme.2237 ↗

63. Gonzalez D, Cueto E, Doblare M (2009) A high order method using max-ent approximation schemes. Int J Mater Form 2(1):577–580. doi: 10.1007/s12289-009-0627-110.1007/s12289-009-0627-1 ↗

64. Gonzlez D, Cueto E, Doblare M (2010) A higher order method based on local maximum entropy approximation. Int J Numer Methods Eng 83(6):741–764. doi: 10.1002/nme.285510.1002/nme.2855 ↗

65. Gosz J, Liu WK (1996) Admissible approximations for essential boundary conditions in the reproducing kernel particle method. Comput Mech 19:120–13510.1007/BF02824850 ↗

66. Guenther FC, Liu WK (1998) Implementation of boundary conditions for meshless methods. Comput Methods Appl Mech Eng 163(1-4):205–23010.1016/S0045-7825(98)00014-0 ↗

67. Oettinger HC (1996) Stochastic processes in polymeric fluids. Springer, New York10.1007/978-3-642-58290-5 ↗

68. Hartmann S, Weyler R, Oliver J, Cante JC, Hernandez JA (2010) A 3D frictionless contact domain method for large deformation problems. Comput Model Eng Sci 55(3):211–269

69. Hiyoshi H, Sugihara K (1999) Two generalizations of an interpolant based on Voronoi diagrams. Int J Shape Model 5(2):219–23110.1142/S0218654399000186 ↗

70. Huerta A, Fernández-Méndez S (2000) Enrichment and coupling of the finite element and meshless methods. Int J Numer Methods Eng 48(11):1615–163610.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S ↗

71. Idelsohn SR, Onate E (2006) To mesh or not to mesh: that is the question. Comput Methods Appl Mech Eng 195(37–40):4681–469610.1016/j.cma.2005.11.006 ↗

72. Idelsohn SR, Onate E, del Pin F (2004) The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. Int J Numer Methods Eng 61(7):964–98910.1002/nme.1096 ↗

73. Illoul L, Lorong P (2011) On some aspects of the CNEM implementation in 3D in order to simulate high speed machining or shearing. Comput Struct 89(11–12):940–958. doi: 10.1016/j.compstruc.2011.01.01810.1016/j.compstruc.2011.01.018 ↗

74. Illoul LA, Le Menach Y, Clenet S, Chinesta F (2008) A mixed finite element/meshless natural element method for simulating rotative electromagnetic machines. Eur Phys J Appl Phys 43:197–208. doi: 10.1051/epjap:2008102 , http://www.epjap.org/action/article_S128600420800102X10.1051/epjap:2008102 ↗

75. Krongauz Y, Belytschko T (1996) Enforcement of essential boundary conditions in meshless approximations using finite elements. Comput Methods Appl Mech Eng 131(1–2):133–145. doi: 10.1016/0045-7825(95)00954-X , http://www.sciencedirect.com/science/article/pii/004578259500954X10.1016/0045-7825(95)00954-X ↗

76. Krysl P, Zhu B (2008) Locking-free continuum displacement finite elements with nodal integration. Int J Numer Methods Eng 767:1020–1043. doi: 10.1002/nme.235410.1002/nme.2354 ↗

77. Li S, Liu WK (2002) Meshfree and particle methods and their applications. Appl Mech Rev 55:1–3410.1115/1.1431547 ↗

78. Liu GR (2002) Mesh free methods: moving beyond the finite element method. CRC Press10.1201/9781420040586 ↗

79. Liu H, Xing Z, Sun Z, Bao J (2011) Adaptive multiple scale meshless simulation on springback analysis in sheet metal forming. Eng Anal Boundary Elem 35(3):436–451. doi: 10.1016/j.enganabound.2010.06.025 , http://www.sciencedirect.com/science/article/pii/S0955799710002614 , http://www.sciencedirect.com/science/article/pii/S095579971000261410.1016/j.enganabound.2010.06.025 ↗

80. Liu WK, Chen Y (1995) Wavelet and multiple scale reproducing kernel methods. Int J Numer Methods Fluids 21:901–93110.1002/fld.1650211010 ↗

81. Liu WK, Jun S, Li S, Adee J, Belytschko T (1995) Reproducing kernel particle methods. Int J Numer Methods Eng 38:1655–167910.1002/nme.1620381005 ↗

82. Lof J, Blokhuis Y (2002) FEM simulations of the extrusion of complex thin-walled aluminium sections. J Mater Process Technol 122:344–35410.1016/S0924-0136(01)01266-3 ↗

83. Lucy LB (1977) A numerical approach to the testing of the fission hypothesis. Astron J 82(12):1013–102410.1086/112164 ↗

84. Martinez MA, Cueto E, Alfaro I, Doblare M, Chinesta F (2004) Updated lagrangian free surface flow simulations with natural neighbour Galerkin methods. Int J Numer Methods Eng 60(13):2105–212910.1002/nme.1036 ↗

85. Millan D, Rosolen A, Arroyo M (2013) Nonlinear manifold learning for meshfree finite deformation thin-shell analysis. Int J Numer Methods Eng 93(7):685–713. doi: 10.1002/nme.440310.1002/nme.4403 ↗

86. Nayroles B, Touzot G, Villon P (1992) Generalizing the finite element method: diffuse approximation and diffuse elements. Comput Mech 10:307–31810.1007/BF00364252 ↗

87. Nguyen VP, Rabczuk T, Bordas S, Duflot M (2008) Meshless methods: a review and computer implementation aspects. Math Comput Simul 79(3):763–813. doi: /10.1016/j.matcom.2008.01.003 , http://www.sciencedirect.com/science/article/pii/S037847540800006210.1016/j.matcom.2008.01.003 ↗

88. Oliver J, Cante JC, Weyler R, Gonzalez C, Hernandez J (2007a). Particle finite element methods in solid mechanics problems. In: Onate E, Owen R (eds) Computational plasticity, computational methods in applied sciences, vol 7. European Community Computat Methods Appl Sci., Springer, Dordrecht, pp 87–103. 8th international conference on computational plasticity, CIMNE UPC, Barcelona, Sep. 05-08 2005. doi: f10.1007/978-1-4020-6577-4n6g10.1007/978-1-4020-6577-4_6 ↗

89. Oliver J, Cante JC, Weyler R, Hernandez J (2007). Possibilities of particle finite element methods in industrial forming processes. In: Cueto E, Chinesta F (eds) 10th ESAFORM Conference on Material Forming, Pts A and B. European Sci Assoc Mat Forming; European Community Computat Methods Appl Sci; Spanish Minist Educ & Sci; Reg Govt Aragon; Univ Zaragoza. AMER INST PHYSICS. 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA. AIP CONFERENCE PROCEEDINGS, vol 907, pp 1484–1489. 10th ESAFORM Conference on Material Forming, Zaragoza, SPAIN, APR 18-20, 200710.1063/1.2729725 ↗

90. Organ D, Fleming M, Terry T, Belytschko T (1996) Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Comput Mech 18(3):225–235. doi: 10.1007/BF0036994010.1007/BF00369940 ↗

91. Ortiz A, Puso M, Sukumar N (2011) Maximum-entropy meshfree method for incompressible media problems. Finite Elem Anal Des 47(6):572–585. doi: 10.1016/j.finel.2010.12.009 . The Twenty-Second Annual Robert J. Melosh Competition. http://www.sciencedirect.com/science/article/pii/S0168874X1000204010.1016/j.finel.2010.12.009 ↗

92. Puso MA, Chen JS, Zywicz E, Elmer W (2008) Meshfree and finite element nodal integration methods. Int J Numer Methods Eng 74(3):416–446. doi: 10.1002/nme.218110.1002/nme.2181 ↗

93. Quak W, Boogaard A, Huetink J (2009) Meshless methods and forming processes. Int J Mater Form 2(1):585–588. doi: 10.1007/s12289-009-0442-810.1007/s12289-009-0442-8 ↗

94. Quak W, Boogaard A, Gonzalez D, Cueto E (2011) A comparative study on the performance of meshless approximations and their integration. Comput Mech 48(2):121–137. doi: 10.1007/s00466-011-0577-610.1007/s00466-011-0577-6 ↗

95. Sibson R (1980) A vector identity for the Dirichlet Tesselation. Math Proc Camb Philos Soc 87:151–15510.1017/S0305004100056589 ↗

96. Sibson R (1981) A brief description of natural neighbour interpolation. In: Barnett V (ed) Interpreting multivariate data. Wiley, New York, pp 21–36

97. Sidibe K, Li G (2012) A meshfree simulation of the draw bending of sheet metal. Int J Sci Eng Res 3(10):1–5. doi: 10.1007/s004660050463

98. Sukumar N (2004) Construction of polygonal interpolants: a maximum entropy approach. Int J Numer Methods Eng 61(12):2159–218110.1002/nme.1193 ↗

99. Sukumar N, Moran B (1999) C 1 $C¹$ Natural neighbour interpolant for partial differential equations. Numer Methods Partial Differential Equations 15(4):417–44710.1002/(SICI)1098-2426(199907)15:4<417::AID-NUM2>3.0.CO;2-S ↗

100. Sukumar N, Moran B, Belytschko T (1998) The natural element method in solid mechanics. Int J Numer Methods Eng 43(5):839–88710.1002/(SICI)1097-0207(19981115)43:5<839::AID-NME423>3.0.CO;2-R ↗