Have a personal or library account? Click to login
Influence of in-Plane Deformation in Higher Order Beam Theories Cover

Influence of in-Plane Deformation in Higher Order Beam Theories

Strojnícky časopis - Journal of Mechanical Engineering
Volume 68 (2018): Issue 3 (November 2018)
By: Evangelos Sapountzakis and  Amalia Argyridi  
Open Access
|Dec 2018

References

  1. [1] J. Murin, M. Aminbaghai, V. Goga, V. Kutiš , J. Paulech 1 , J. Hrabovský. Effect of nonuniform torsion on elastostatics of a frame of hollow rectangular cross-section. Journal of Mechanical Engineering - Strojnícky časopis 2018 (68), No. 2, 35 - 52.
    Search in Google ScholarBack to article
  2. [2] R. Schardt. Lateral torsional, and distortional buckling of channel-, and hat-sections. Journal of Constructional Steel Research 1994 (31), No. 2 - 3, 243 - 265.
    Search in Google ScholarBack to article
  3. [3] E. Reissner. Analysis of shear lag in box beams by the principle of minimum potential energy. Quarterly of Applied Mathematics 1946 (4), No. 3, 268 - 278.
    Search in Google ScholarBack to article
  4. [4] D. J. Malcolm, R.G. Redwood. Shear lag in stiffened box-girders. J. Struct. Div. ASCE 1970 (96), No. 7, 1403 - 1415.
    Search in Google ScholarBack to article
  5. [5] K. R. Moffatt, P. J. Dowling. Shear lag in steel box-girder bridges. Struct. Engineer 1975 (53), No. 10, 439 - 448.
    Search in Google ScholarBack to article
  6. [6] N.W. Murray. Introduction to the theory of thin-walled structures. Oxford University Press, 1986.
    Search in Google ScholarBack to article
  7. [7] Eurocode 3: Design of Steel Structures - Part 1.5: Plated Structural Elements, European Committee for Standardization, 2004, prEN 1993-1-5.
    Search in Google ScholarBack to article
  8. [8] Eurocode 4: Design of Composite Steel and Concrete Structures - Part 1.1: General Rules and Rules for Buildings, European Committee for Standardization, 2004, prEN 1994-1-1.
    Search in Google ScholarBack to article
  9. [9] Eurocode 4: Design of Composite Steel and Concrete Structures - Part 2: General Rules and Rules for Bridges, European Committee for Standardization, 2004, prEN 1994-2.
    Search in Google ScholarBack to article
  10. [10] Eurocode 2: Design of concrete structures - Part 2: Concrete bridges - Design and detailing rules, European Committee for Standardization, 2005, EN 1992-2.
    Search in Google ScholarBack to article
  11. [11] C. A., Ie, J. B. Kosmatka. On the analysis of prismatic beams using first-order warping functions. International Journal of Solids, and Structures 1992 (29), No. 7, 879 - 891.
    Search in Google ScholarBack to article
  12. [12] Eurocode 9: Design of aluminium structures - Part 1.3: Structures susceptible to fatigue, European Committee for Standardization, 2007, EN 1999-1-3.
    Search in Google ScholarBack to article
  13. [13] N.H., Park, N.H., Lim, Y.J. Kang. A consideration on intermediate diaphragm spacing in steel box girder bridges with a doubly symmetric section. Engineering Structures 2003 (25), No. 13, 1665 - 1674.
    Search in Google ScholarBack to article
  14. [14] V. Vlasov. Thin-walled elastic beams. Israel Program for Scientific Translations, Jerusalem, 1963.
    Search in Google ScholarBack to article
  15. [15] R.N. Wright, S.R. Abdel-Samad, A.R. Robinson. BEF analogy for analysis of box girders. J. Struct. Div., ASCE 1968 (94), No. 7, 1719 - 1743.
    Search in Google ScholarBack to article
  16. [16] L.T. Stavridis. Structural Systems: Behaviour, and design. Thomas Telford Limited, 40 Marsh Wall, London, 2010.
    Search in Google ScholarBack to article
  17. [17] L.F. Boswell, S.H. Zhang. A box beam finite element for the elastic analysis of thinwalled structures. Thin-Walled Structures 1983 (1), No. 4, 353 - 383.
    Search in Google ScholarBack to article
  18. [18] L.F. Boswell, S.H. Zhang. The effect of distortion in thin-walled box-spine beams. International Journal of Solids and Structures 1984 (20), No. 9 - 10, 842 - 862.
    Search in Google ScholarBack to article
  19. [19] S.H. Zhang, L.P.R. Lyons. A thin-walled box beam finite element for curved bridge analysis. Computers and Structures 1984 (18), No. 6, 1035 - 1046.
    Search in Google ScholarBack to article
  20. [20] S.H. Zhang, L.P.R. Lyons. The application of the thin-walled box beam element to multibox bridge analysis. Computers and Structures 1984 (18), No. 5, 795 - 802.
    Search in Google ScholarBack to article
  21. [21] B. Kermani, P. Waldron. Analysis of continuous box girder bridges including the effects of distortion. Computers and Structures 1993 (47), No. 3, 427 - 440.
    Search in Google ScholarBack to article
  22. [22] N.I. Kim, M.Y. Kim. Exact dynamic/static stiffness matrices of non-symmetric thinwalled beams considering coupled shear deformation effects. Thin-Walled Structures 2005 (43), No. 5, 701 - 734.
    Search in Google ScholarBack to article
  23. [23] N.H. Park, S. Choi, Y.J. Kang. Exact distortional behavior, and practical distortional analysis of multicell box girders using an expanded method. Computers and Structures 2005 (83), No. 19 - 20, 1607 - 1626.
    Search in Google ScholarBack to article
  24. [24] L.F. Boswell, Q. Li. Consideration of the relationships between torsion, distortion, and warping of thin-walled beams. Thin-Walled Structures 1995 (21), No. 2, 147 - 161.
    Search in Google ScholarBack to article
  25. [25] R. Schardt. Verallgemeinerte technicsche biegetheory. Germany: Springler - Verlag, 1989.
    Search in Google ScholarBack to article
  26. [26] R. Schardt. Generalised Beam Theory - An adequate method for coupled stability problems. Thin-Walled Structures 1994 (19), No. 2 - 4, 161 - 180.
    Search in Google ScholarBack to article
  27. [27] J.M. Davies, P. Leach. First-order Generalized Beam Theory. Journal of Constructional Steel Research 1994 (31), No. 2 - 3, 187 - 221.
    Search in Google ScholarBack to article
  28. [28] J.M. Davies, P. Leach, D. Heinz. Second-order Generalized Beam Theory. Journal of Constructional Steel Research 1994 (31), No. 2 - 3, 221 - 241.
    Search in Google ScholarBack to article
  29. [29] P. Leach. The calculation of modal cross-section properties for use in the Generalized Beam Theory. Thin-Walled Structures 1994 (19), No. 1, 61 - 79.
    Search in Google ScholarBack to article
  30. [30] P. Leach, J. M. Davies. An experimental verification of the Generalized Beam Theory applied to interactive buckling problems. Thin-Walled Structures 1996 (25), No. 1, 61 -79.
    Search in Google ScholarBack to article
  31. [31] N. Silvestre, D. Camotim. First-order Generalised Beam Theory for arbitrary orthotropic materials. Thin-Walled Structures 2002 (40), No. 9, 755 - 789.
    Search in Google ScholarBack to article
  32. [32] R. Gonçalves, D. Camotim. GBT local, and global buckling analysis of aluminium, and stainless steel columns. Computers and Structures 2004 (82), No. 17 - 19, 1473 - 1484.
    Search in Google ScholarBack to article
  33. [33] R. Gonçalves, D. Camotim. Thin-walled member plastic bifurcation analysis using Generalised Beam Theory. Advances in Engineering Software 2007 (38), No. 8 - 9, 637 - 646.
    Search in Google ScholarBack to article
  34. [34] R. Gonçalves, D. Camotim. Generalised Beam Theory-based finite elements for elastoplastic thin-walled metal members. Thin-Walled Structures 2011 (49), No. 10, 1237 - 1245.
    Search in Google ScholarBack to article
  35. [35] N. Silvestre. Generalised Beam Theory to analyse the buckling behaviour of circular cylindrical shells, and Tubes. Thin-Walled Structures 2007 (45), No. 2, 185 - 198.
    Search in Google ScholarBack to article
  36. [36] P. B. Dinis, D. Camotim, N. Silvestre. On the local, and global buckling behaviour of angle, t-section, and cruciform thin-walled members. Thin-Walled Structures 2010 (48), No. 10 -11, 786 - 797.
    Search in Google ScholarBack to article
  37. [37] R. Gonçalves, M. R. Corrêa, D. Camotim. A large displacement, and finite rotation thinwalled beam formulation including cross-section deformation. Comput. Methods Appl. Mech. Engrg 2010 (199), No. 23 - 24, 1627 - 1643.
    Search in Google ScholarBack to article
  38. [38] N. Silvestre, D. Camotim. On the mechanics of distortion in thin-walled open sections. Thin-Walled Structures. 2010 (48), No. 7, 469 - 481.
    Search in Google ScholarBack to article
  39. [39] D. Camotim, P. B. Dinis. Coupled instabilities with distortional buckling in cold-formed steel lipped channel columns. Thin-Walled Structures 2011 (49), No. 5, 562 - 575.
    Search in Google ScholarBack to article
  40. [40] P.B. Dinis, D. Camotim. Post-buckling behaviour, and strength of cold-formed steel lipped channel columns experiencing distortional/global interaction. Computers and Structures 2011 (89), No. 3 - 4, 422 - 434.
    Search in Google ScholarBack to article
  41. [41] M. Abambres, D. Camotim, N. Silvestre. GBT-Based first-order analysis of elastic plastic thin-walled steel members exhibiting strain-hardening. The IES Journal Part A: Civil, and Structural Engineering 2013 (6), No. 2., 119 - 134. DOI: 10.1080/19373260.2012.757209
    Search in Google ScholarBack to article
  42. [42] C. D. Balch, C. R. Steele. Asymptotic solutions for warping, and distortion of thin-walled box beams. Journal of Applied Mechanics, ASME 1987 (54), No. 1, 165 - 173.
    Search in Google ScholarBack to article
  43. [43] L. Mentrasti. Distorion (and torsion) of rectangular thin-walled beams. Thin-Walled Structures 1990 (10), No. 3, 175 - 193.
    Search in Google ScholarBack to article
  44. [44] G. Ranzi, A. Luongo. A new approach for thin-walled member analysis in the framework of GBT, Thin-Walled Structures 2011 (49), No. 11, 1404 - 1414.
    Search in Google ScholarBack to article
  45. [45] J. Jönsson, M. J. Andreassen. Distortional eigenmodes, and homogeneous solutions for semi-discretized thin-walled beams. Thin-Walled Structures 2011 (49), No. 6, 691 - 707.
    Search in Google ScholarBack to article
  46. [46] M. J. Andreassen, J. Jönsson. Distortional solutions for loaded semi-discretized thinwalled beams. Thin-Walled Structures 2012 (50), No. 1, 116 - 127.
    Search in Google ScholarBack to article
  47. [47] M. J. Andreassen, J. Jönsson. Distortional buckling modes of semi-discretized thinwalled columns. Thin-Walled Structures 2012 (51), 53 - 63.
    Search in Google ScholarBack to article
  48. [48] M. J. Andreassen, J. Jönsson. A distortional semi-discretized thin-walled beam element. Thin-Walled Structures 2013 (62), 142 - 157.
    Search in Google ScholarBack to article
  49. [49] R. F. Vieira, F. B. Virtuoso, E. B. R. Pereira. A higher order model for thin-walled structures with deformable cross-sections. International Journal of Solids and Structures 2014 (51), No. 3 - 4, 575 - 598.
    Search in Google ScholarBack to article
  50. [50] B. W. Schafer, S. Ádány. Understanding, and classifying local, distortional, and global buckling in open thin-walled members. Annual Conference Structural Stability Research Council, Montreal, Canada, 2005.
    Search in Google ScholarBack to article
  51. [51] D. Camotim, N. Silvestre, R. Gonçalves, P. B. Dinis. GBT-based structural analysis of thin-walled members: overview, recent progress and future developments. M. Pandey et al. (eds), Advances in Engineering Structures, Mechanics & Construction 2006 (140), 187 - 204.
    Search in Google ScholarBack to article
  52. [52] B. W. Schafer, S. Ádány. Buckling analysis of cold-formed steel members using CUFSM: conventional, and constrained Finite Strip Methods. 18th International Specialty Conference on Cold-Formed Steel Structures, Orlando, Florida, 2006.
    Search in Google ScholarBack to article
  53. [53] S. Ádány, B. W. Schafer. Buckling mode decomposition of single-branched open crosssection members via Finite Strip Method: Derivation. Thin-Walled Structures, 2006 (44), No. 5, 563 - 584.
    Search in Google ScholarBack to article
  54. [54] S. Ádány, B. W. Schafer. Buckling mode decomposition of single-branched open crosssection members via Finite Strip Method: Application, and examples. Thin-Walled Structures 2006 (44), No. 5, 585 - 600.
    Search in Google ScholarBack to article
  55. [55] S. Ádány, B. W. Schafer. A full modal decomposition of thin-walled, single-branched open cross-section members via the constrained Finite Strip Method. Journal of Constructional Steel Research 2008 (64), No. 1, 12 - 29.
    Search in Google ScholarBack to article
  56. [56] Z. Li, M.T. Hanna, S. Ádány, B. W. Schafer. Impact of basis, orthogonalization, and normalization on the constrained Finite Strip Method for stability solutions of open thinwalled members. Thin-Walled Structures 2011 (49), No. (9), 1108 - 1122.
    Search in Google ScholarBack to article
  57. [57] V. J. Tsipiras, E. J. Sapountzakis. Bars under nonuniform torsion - application to steel bars, Assessment of EC3 guidelines. Engineering Structures 2014 (60), 133 - 147.
    Search in Google ScholarBack to article
  58. [58] J. B. Kosmatka, S. B. Dong. Saint-Venant solutions for prismatic anisotropic beams. International Journal of Solids and Structures 1991 (28), No. 7, 917 - 938.
    Search in Google ScholarBack to article
  59. [59] C.A. Ie, J. B. Kosmatka. Saint-Venant elasticity solutions of a tip-loaded anisotropic cantilevered beam with an elliptical section. Composites Engineering 1993 (3), No. 12, 1149 - 1164.
    Search in Google ScholarBack to article
  60. [60] A. E. H. Love. A treatise on the mathematical theory of elasticity, Dover, New York, 1944.
    Search in Google ScholarBack to article
  61. [61] X. S. Xu, W. X. Zhong. H. W. Zhang. The Saint-Venant problem, and principle in elasticity. International Journal of Solids and Structures 1997 (34), No. 22, 2815 - 2827.
    Search in Google ScholarBack to article
  62. [62] S. W. Reagan, W. D. Pilkey. Constrained torsion of prismatic bars. Finite Elements in Analysis, and Design 2002 (38), No. 10, 909 - 919.
    Search in Google ScholarBack to article
  63. [63] P. F. Pai. High-fidelity sectional analysis of warping functions, stiffness values, and wave properties of beams. Engineering Structures 2014 (67), No. 15, 77 - 95.
    Search in Google ScholarBack to article
  64. [64] V. Giavotto, M. Borri, P. Mantegazza, G. Ghiringhelli, V. Carmaschi, G. C. Maffioli, F. Mussi. Anisotropic beam theory, and applications. Computers and Structures 1983 (16), No. 1 - 4, 403 - 413.
    Search in Google ScholarBack to article
  65. [65] M. Kazic, S. B. Dong. Analysis of restrained torsion. Journal of Engineering Mechanics, 1990 (116), No. 4, 870 - 891.
    Search in Google ScholarBack to article
  66. [66] N. Ghazouani, R. El Fatmi. Extension of the non-uniform warping theory to an orthotropic composite beam. Comptes Rendus Mecanique 2010 (338), No. 12, 704 - 711.
    Search in Google ScholarBack to article
  67. [67] N. Ghazouani, R. El Fatmi. Higher order composite beam theory built on Saint-Venant’s Solution. Part-II: Built-in effects influence on the behavior of end-loaded cantilever beams. Composite Structures 2011 (93), No. 2, 567 - 581.
    Search in Google ScholarBack to article
  68. [68] R. El Fatmi, N. Ghazouani. Higher order composite beam theory built on Saint-Venant’s Solution. Part-I: Theoretical developments. Composite Structures 2011 (93), No. 2, 557- 566.
    Search in Google ScholarBack to article
  69. [69] E. Petrov, M. Géradin. Finite element theory for curved, and twisted beams based on exact solutions for three-dimensional solids, Part 1: Beam concept, and geometrically exact nonlinear formulation. Computational Methods in Applied Mechanics, and Engineering. 1998 (165), No. 1 - 4, 43 - 92.
    Search in Google ScholarBack to article
  70. [70] M. K. Ferradi, X. Cespedes. A new beam element with transversal, and warping eigenmodes. Computers and Structures 2014 (131), 12 - 33.
    Search in Google ScholarBack to article
  71. [71] M. K. Ferradi, X. Cespedes, M. Arquier. A higher order beam finite element with warping eigenmodes. Engineering Structures 2013 (46), 748 - 762.
    Search in Google ScholarBack to article
  72. [72] A. Genoese, A. Genoese, A. Bilotta, G. Garcea. A generalized model for heterogeneous, and anisotropic beams including section distortions. Thin-Walled Structures 2014 (74), 85 - 103.
    Search in Google ScholarBack to article
  73. [73] I. C. Dikaros, E. J. Sapountzakis. Distortional analysis of beams of arbitrary cross section by BEM. Journal of Engineering Mechanics, ASCE 2017 (143), No. 10, 04017118, DOI:10.1061/(ASCE)EM.1943-7889.0001340
    Search in Google ScholarBack to article
  74. [74] N. Ghazouani, R. El Fatmi. Higher order composite beam theory built on Saint-Venant’s solution, Part-II: Built-in effects influence on the behavior of end-loaded cantilever beams. Composite Structures 2011 (93), No. 2, 567 - 581.
    Search in Google ScholarBack to article
  75. [75] D. Henriques, R. Gonçalves, D. Camotim. GBT-based finite element to assess the buckling behaviour of steel-concrete composite beams. Thin-Walled Structures 2016, (107), 207 - 220.
    Search in Google ScholarBack to article
  76. [76] G.-W. Jang, M.-J. Kim, Y. Y. Kim. Analysis of thin-walled straight beams with generally shaped closed sections using numerically determined sectional deformation functions. Journal of Structural Engineering, ASCE 2012 (138), No. 12, 1427 - 1435.
    Search in Google ScholarBack to article
  77. [77] E. J. Sapountzakis, V. G. Mokos. Warping shear stresses in nonuniform torsion by BEM. Computational Mechanics 2003 (30), No. 2, 131 - 142.
    Search in Google ScholarBack to article
  78. [78] R. Gonçalves, D. Camotim. Elastic buckling of uniformly compressed thin-walled regular polygonal tubes. Thin-Walled Structures 2013 (71), 35 - 45.
    Search in Google ScholarBack to article
  79. [79] E. Sapountzakis, L. Tsellos, I. Dikaros. Advanced beam element under longitudinal external loading by BEM. Proc. of the 16th International Conference on Boundary Elements, and Meshless Techniques, 2015, 267 - 272, Valencia, Spain, July 06-08.
    Search in Google ScholarBack to article
  80. [80] M. K. Ferradi, A. Lebée, A. Fliscounakis, X. Cespedes, K. Sab. A model reduction technique for beam analysis with the asymptotic expansion method. Computers and Structures 2016, (172), 11 - 28.
    Search in Google ScholarBack to article
  81. [81] A. K. Argyridi, E. J. Sapountzakis. Advanced analysis of arbitrarily shaped axially loaded beams including axial warping and distortion. Thin-Walled Structures 2019 (134), 127 -147.
    Search in Google ScholarBack to article
  82. [82] A. K. Argyridi, E .J. Sapountzakis. Higher Order Beam Theory for Linear Local Buckling Analysis. Engineering Structures 2018 (177), 770 - 784.
    Search in Google ScholarBack to article
  83. [83] J. Bocko, P. Lengvarský, J. Šarloši. Buckling analysis of hetero-junction carbon nanotubes. Journal of Mechanical Engineering - Strojnícky časopis 2018, (68), No. 2, 9- 16.
    Search in Google ScholarBack to article
  84. [84] I. S. Sohal, W. F. Chen. Local, and post-buckling behavior of tubular beam-columns. ASCE Journal of Structural Engineering 1988 (114), No. 5, 1073 - 1090.
    Search in Google ScholarBack to article
  85. [85] J. Davies, P. Leach, D. Heinz. Second-order generalised beam theory. Journal of Constructional Steel Research 1994 (31), No. 2 - 3, 221 - 241.
    Search in Google ScholarBack to article
  86. [86] R. Bebiano, C. Basaglia, D. Camotim, R. Gonçalves. GBT buckling analysis of generally loaded thin-walled members with arbitrary flat-walled cross-sections. Thin-Walled Structures 2018 (123), 11 - 24.
    Search in Google ScholarBack to article
  87. [87] R. Gonçalves, D. Camotim. Buckling behaviour of thin-walled regular polygonal tubes subjected to bending or torsion. Thin-Walled Structures 2013 (73), 185- 197.
    Search in Google ScholarBack to article
  88. [88] C. Basaglia, D. Camotim, R. Goncalves, A. Graca. GBT-based assessment of the buckling behaviour of cold-formed steel purlins restrained by sheeting. Thin-Walled Structures, 2013 (72), 217 - 229.
    Search in Google ScholarBack to article
  89. [89] M. Bradford, R. Johnson. Inelastic buckling of composite bridge girders near internal supports. Proceedings of the Institution of Civil Engineers Part 2-Research, and Theory 1987 (83), 143 - 159.
    Search in Google ScholarBack to article
  90. [90] S. A. Karamanos, J. L. Tassoulas. Tubular members. I: Stability analysis, and preliminary results. Journal of Engineering Mechanics 1996 (122), No. 1, 64 - 71.
    Search in Google ScholarBack to article
  91. [91] S. A. Karamanos, J. L. Tassoulas. Tubular members II: Local buckling, and experimental verification. Journal of Engineering Mechanics 1996 (122), No. 1, 72 - 78.
    Search in Google ScholarBack to article
  92. [92] S. A. Karamanos. Bending instabilities of elastic tubes. International Journal of Solids, and Structures 2002 (39), No. 8, 2059 - 2085.
    Search in Google ScholarBack to article
  93. [93] S. Houliara, S. A. Karamanos. Buckling, and post-buckling of long pressurised elastic thin-walled tubes under in-plane bending. Int. J. Nonlinear Mech. 2006 (41), No. (4), 491- 511.
    Search in Google ScholarBack to article
  94. [94] T. Aoki, Y. Migita, Y. Fukumoto. Local buckling strength of closed polygon folded section columns. J Constr Steel Res, 1991 20(4), 259-70.
    Search in Google ScholarBack to article
  95. [95] W. H. Wittrick. A unified approach to the initial buckling of stiffened panels in compression. Aeronautical Quarterly 1968 (19), No. 3, 265 - 283.
    Search in Google ScholarBack to article
  96. [96] C.E. Kurt, R.C. Johnson. Cross sectional imperfections, and columns stability. Journal of the Structural Division, 1978 (104), No. 12, 1869 - 1883.
    Search in Google ScholarBack to article
  97. [97] N. Koseko, T. Aoki, Y. Fukumoto. The local buckling strength of the octagonal section steel columns. Proceedings of the Japan Society of Civil Engineers 1983 (330), 27 - 36.
    Search in Google ScholarBack to article
  98. [98] A.K. Argyridi, E.J. Sapountzakis. Generalized Warping In Flexural-Torsional Buckling Analysis of Composite Beams. Journal of Applied and Computational Mechanics 2016(2), No. 3, 152 - 173.
    Search in Google ScholarBack to article
  99. [99] Q. Wang, W.Y. Li. Buckling of thin-walled compression members with shear lag using spline finite member element method. Computational Mechanics 1996 (18), 139 - 146.
    Search in Google ScholarBack to article
DOI: https://doi.org/10.2478/scjme-2018-0028 | Journal eISSN: 2450-5471 | Journal ISSN: 0039-2472
Journal RSS Feed
Language: English
Page range: 77 - 94
Published on: Dec 6, 2018
Published by: Slovak University of Technology in Bratislava
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Beam theories,
Distortion,
In-plane deformation,
Warping,
Out-of-plane deformation,
Buckling
Related subjects:
Engineering,
Mechanical engineering,
Fundamentals of mechanical engineering,
Mechanics

© 2018 Evangelos Sapountzakis, Amalia Argyridi, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Previous articleVolume 68 (2018): Issue 3 (November 2018)Next article