메뉴 건너뛰기




Volumn 46, Issue 5, 2010, Pages 679-701

A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates

Author keywords

Finite element method; Node based smoothed; Plate bending; Transverse shear locking

Indexed keywords

LOCKS (FASTENERS); MINDLIN PLATES; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); STABILIZATION; VIBRATION ANALYSIS; VIBRATIONS (MECHANICAL);

EID: 77954957345     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-010-0509-x     Document Type: Article
Times cited : (130)

References (83)
  • 1
    • 0002669431 scopus 로고
    • Plate vibration research: 1981-1985: Classical theory
    • Leissa AW (1987) Plate vibration research: 1981-1985: classical theory. Shock Vib Dig 19:11-18
    • (1987) Shock Vib Dig. , vol.19 , pp. 11-18
    • Leissa, A.W.1
  • 2
    • 16344378572 scopus 로고
    • A review of laminated composite plate buckling
    • Leissa AW (1987) A review of laminated composite plate buckling. Appl Mech Rev 40:575-591
    • (1987) Appl. Mech Rev. , vol.40 , pp. 575-591
    • Leissa, A.W.1
  • 3
    • 58149324188 scopus 로고
    • Research on thick plate vibration: A literature survey
    • Liew KM, Xiang Y, Kitipornchai S (1995) Research on thick plate vibration: a literature survey. J Sound Vib 180:163-176
    • (1995) J. Sound Vib , vol.180 , pp. 163-176
    • Liew, K.M.1    Xiang, Y.2    Kitipornchai, S.3
  • 4
    • 0030661268 scopus 로고    scopus 로고
    • Finite element linear and nonlinear, static and dynamic analysis of structural elements: A bibliography (1992-1995)
    • Mackerle J (1997) Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992-1995). Eng Comput 14:347-440
    • (1997) Eng Comput , vol.14 , pp. 347-440
    • Mackerle, J.1
  • 5
    • 0036040819 scopus 로고    scopus 로고
    • Finite element linear and nonlinear, static and dynamic analysis of structural elements: A bibliography (1999-2002)
    • Mackerle J (2002) Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1999-2002). Eng Comput 19:520-594
    • (2002) Eng Comput , vol.19 , pp. 520-594
    • Mackerle, J.1
  • 6
    • 0024012118 scopus 로고
    • A robust triangular plate bending element of the Reissner Mindlin type
    • Zienkiewicz OC, Lefebvre D (1988) A robust triangular plate bending element of the Reissner Mindlin type. Int JNumer Methods Eng 26:1169-1184
    • (1988) Int. JNumer Methods Eng , vol.26 , pp. 1169-1184
    • Zienkiewicz, O.C.1    Lefebvre, D.2
  • 7
    • 0032137073 scopus 로고    scopus 로고
    • A new hybrid-mixed variational approach for Reissner Mindlin plate
    • Ayad R, Dhatt G, Batoz JL (1998) A new hybrid-mixed variational approach for Reissner Mindlin plate. Int J Numer Methods Eng 42:1149-1179
    • (1998) Int. J. Numer Methods Eng , vol.42 , pp. 1149-1179
    • Ayad, R.1    Dhatt, G.2    Batoz, J.L.3
  • 8
    • 0032155088 scopus 로고    scopus 로고
    • Analysis of a mixed finite element method for the Reissner Mindlin plate problems
    • Lovadina C (1998) Analysis of a mixed finite element method for the Reissner Mindlin plate problems. Comput Methods Appl Mech Eng 163:71-85
    • (1998) Comput Methods Appl. Mech Eng , vol.163 , pp. 71-85
    • Lovadina, C.1
  • 9
    • 0027667534 scopus 로고
    • Linked interpolation for Reissner-Mindlin plate element: Part II-A simple triangle
    • Taylor RL, Auricchio F (1993) Linked interpolation for Reissner-Mindlin plate element: Part II-A simple triangle. Int J Numer Methods Eng 36:3043-3056
    • (1993) Int. J. Numer Methods Eng , vol.36 , pp. 3043-3056
    • Taylor, R.L.1    Auricchio, F.2
  • 10
    • 0020718603 scopus 로고
    • A stabilization procedure for the quadrilateral plate element with one-point quadrature
    • Belytschko T, Tsay CS (1983) A stabilization procedure for the quadrilateral plate element with one-point quadrature. Int J Numer Meth Eng 19:405-419
    • (1983) Int. J. Numer Meth Eng , vol.19 , pp. 405-419
    • Belytschko, T.1    Tsay, C.S.2
  • 11
    • 0028392011 scopus 로고
    • Physical stabilization of the 4-node shell element with one-point quadrature
    • Belytschko T, Leviathan I (1992) Physical stabilization of the 4-node shell element with one-point quadrature. Comput Meth Appl Mech Eng 113:321-350
    • (1992) Comput Meth Appl. Mech Eng , vol.113 , pp. 321-350
    • Belytschko, T.1    Leviathan, I.2
  • 12
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • Simo JC, Rifai MS (1990) A class of mixed assumed strain methods and the method of incompatible modes. Int J Numer Methods Eng 29:1595-1638
    • (1990) Int. J. Numer Methods Eng , vol.29 , pp. 1595-1638
    • Simo, J.C.1    Rifai, M.S.2
  • 13
    • 0040142014 scopus 로고    scopus 로고
    • New enhanced strain elements for incompatible problems
    • César de Sá JMA, Natal Jorge RM (1999) New enhanced strain elements for incompatible problems. Int J Numer Methods Eng 44:229-248
    • (1999) Int. J. Numer Methods Eng , vol.44 , pp. 229-248
    • De Sá, C.J.1    Jorge, R.M.N.2
  • 14
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin-Reissener plate theory and a mixed interpolation
    • Bathe KJ, Dvorkin EN (1985) A four-node plate bending element based on Mindlin-Reissener plate theory and a mixed interpolation. Int J Numer Methods Eng 21:367-383
    • (1985) Int. J. Numer Methods Eng , vol.21 , pp. 367-383
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 15
    • 0022097749 scopus 로고
    • Athree-node Mindlin plate element with improved transverse shear
    • Tessler A, Hughes TJR (1985) Athree-node Mindlin plate element with improved transverse shear. Comput Methods Appl Mech Eng 50:71-101
    • (1985) Comput Methods Appl. Mech Eng , vol.50 , pp. 71-101
    • Tessler, A.1    Hughes, T.J.R.2
  • 16
    • 0037051074 scopus 로고    scopus 로고
    • Development of shear locking-free shell elements using an enhanced assumed strain formulation
    • César de Sá JMA, Natal Jorge RM, Fontes Valente RA, Areias PMA (2002) Development of shear locking-free shell elements using an enhanced assumed strain formulation. Int J Numer Methods Eng 53:1721-1750
    • (2002) Int. J. Numer Methods Eng , vol.53 , pp. 1721-1750
    • De Sá, C.J.1    Jorge, R.M.N.2    Valente, R.A.F.3    Areias, P.M.A.4
  • 18
    • 0034165883 scopus 로고    scopus 로고
    • A unified approach for shear-locking free triangular and rectangular shell finite elements
    • Bletzinger KU, Bischoff M, Ramm E (2000) A unified approach for shear-locking free triangular and rectangular shell finite elements. Int J Numer Methods Eng 75:321-334
    • (2000) Int. J. Numer Methods Eng , vol.75 , pp. 321-334
    • Bletzinger, K.U.1    Bischoff, M.2    Ramm, E.3
  • 19
    • 0035120922 scopus 로고    scopus 로고
    • A stabilized conforming nodal integration for Galerkin mesh-free methods
    • Chen JS, Wu CT, Yoon S, You Y (2001) A stabilized conforming nodal integration for Galerkin mesh-free methods. Int J Numer Methods Eng 50:435-466
    • (2001) Int. J. Numer Methods Eng , vol.50 , pp. 435-466
    • Chen, J.S.1    Wu, C.T.2    Yoon, S.3    You, Y.4
  • 21
    • 22244473362 scopus 로고    scopus 로고
    • Adaptivity for structured meshfree particle methods in 2D and 3D
    • Rabczuk T, Belytschko T (2005) Adaptivity for structured meshfree particle methods in 2D and 3D. Int J Numer Methods Engineering 63(11):1559-1582
    • (2005) Int. J. Numer Methods Engineering , vol.63 , Issue.11 , pp. 1559-1582
    • Rabczuk, T.1    Belytschko, T.2
  • 22
    • 10844286509 scopus 로고    scopus 로고
    • Cracking particles: A simplified meshfree method for arbitrary evolving cracks
    • Rabczuk T, Belytschko T (2004) Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Int J Numer Methods Engineering 61(13):2316-2343
    • (2004) Int. J. Numer Methods Engineering , vol.61 , Issue.13 , pp. 2316-2343
    • Rabczuk, T.1    Belytschko, T.2
  • 23
    • 34247554153 scopus 로고    scopus 로고
    • A three dimensional large deformation meshfree method for arbitrary evolving cracks
    • Rabczuk T, Belytschko T (2007) A three dimensional large deformation meshfree method for arbitrary evolving cracks. Comput Methods Appl Mech Eng 196 (29-30): 2777-2799
    • (2007) Comput Methods Appl. Mech Eng , vol.196 , Issue.29-30 , pp. 2777-2799
    • Rabczuk, T.1    Belytschko, T.2
  • 24
    • 33644836729 scopus 로고    scopus 로고
    • Application of meshfree particle methods to static fracture of reinforced concrete structures
    • Rabczuk T, Belytschko T (2006) Application of meshfree particle methods to static fracture of reinforced concrete structures. Int J Fract 137 (1-4): 19-49
    • (2006) Int. J. Fract , vol.137 , Issue.1-4 , pp. 19-49
    • Rabczuk, T.1    Belytschko, T.2
  • 25
    • 33846701674 scopus 로고    scopus 로고
    • A simplified meshfree method for shear bands with cohesive surfaces
    • Rabczuk T, Areias PMA, Belytschko T (2007) A simplified meshfree method for shear bands with cohesive surfaces. Int J Numer Methods Eng 69(5):993-1021
    • (2007) Int. J. Numer Methods Eng , vol.69 , Issue.5 , pp. 993-1021
    • Rabczuk, T.1    Areias, P.M.A.2    Belytschko, T.3
  • 26
    • 34250802867 scopus 로고    scopus 로고
    • A three dimensional meshfree method for static and dynamic multiple crack nucleation/propagation with crack path continuity
    • Rabczuk T, Bordas S, Zi G (2007) A three dimensional meshfree method for static and dynamic multiple crack nucleation/propagation with crack path continuity. Comput Mech 40(3):473-495
    • (2007) Comput Mech , vol.40 , Issue.3 , pp. 473-495
    • Rabczuk, T.1    Bordas, S.2    Zi, G.3
  • 27
    • 33847279933 scopus 로고    scopus 로고
    • A meshfree method based on the local partition of unity for cohesive cracks
    • Rabczuk T, Zi G (2007) A meshfree method based on the local partition of unity for cohesive cracks. Comput Mech 39(6):743-760
    • (2007) Comput Mech , vol.39 , Issue.6 , pp. 743-760
    • Rabczuk, T.1    Zi, G.2
  • 28
    • 33847275229 scopus 로고    scopus 로고
    • A smoothed element method for mechanics problems
    • Liu GR, Dai KY, Nguyen TT (2007) A smoothed element method for mechanics problems. Comput Mech 39:859-877
    • (2007) Comput Mech , vol.39 , pp. 859-877
    • Liu, G.R.1    Dai, K.Y.2    Nguyen, T.T.3
  • 30
    • 64049118985 scopus 로고    scopus 로고
    • On the essence and the evaluation of the shape functions for the smoothed finite element method (sfem) (letter to editor)
    • Liu GR, Nguyen-Thoi T, Nguyen-Xuan H, Dai KY, Lam KY (2009) On the essence and the evaluation of the shape functions for the smoothed finite element method (sfem) (letter to editor). Int J Numer Methods Eng 77:1863-1869
    • (2009) Int. J. Numer Methods Eng , vol.77 , pp. 1863-1869
    • Liu, G.R.1    Nguyen-Thoi, T.2    Nguyen-Xuan, H.3    Dai, K.Y.4    Lam, K.Y.5
  • 31
  • 32
    • 78349294144 scopus 로고    scopus 로고
    • A theoretical study on NS/ES-FEM: Properties, accuracy and convergence rates
    • press. doi:10.1002/nme.2941
    • Liu GR, Nguyen-Xuan H, Nguyen-Thoi T (2010) A theoretical study on NS/ES-FEM: properties, accuracy and convergence rates. Int J Numer Methods Eng (in press). doi:10.1002/nme.2941
    • (2010) Int. J. Numer Methods Eng
    • Liu, G.R.1    Nguyen-Xuan, H.2    Nguyen-Thoi, T.3
  • 33
    • 34548303950 scopus 로고    scopus 로고
    • An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics
    • Dai KY, Liu GR, Nguyen TT (2007) An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics. Finite Elements Anal Des 43:847-860
    • (2007) Finite Elements Anal. des , vol.43 , pp. 847-860
    • Dai, K.Y.1    Liu, G.R.2    Nguyen, T.T.3
  • 34
    • 33846537489 scopus 로고    scopus 로고
    • Free and forced vibration analysis using the smoothed finite element method (SFEM)
    • Dai KY, Liu GR (2007) Free and forced vibration analysis using the smoothed finite element method (SFEM). J Sound Vib 301:803-820
    • (2007) J. Sound Vib , vol.301 , pp. 803-820
    • Dai, K.Y.1    Liu, G.R.2
  • 35
    • 69749112147 scopus 로고    scopus 로고
    • A stabilized smoothed finite element method for free vibration analysis of Mindlin-Reissner plates
    • press. doi:10. 1002/cnm.1137
    • Nguyen-Xuan H, Nguyen-Thoi T (2008) A stabilized smoothed finite element method for free vibration analysis of Mindlin-Reissner plates. Commun Numer Methods Eng (in press). doi:10. 1002/cnm.1137
    • (2008) Commun. Numer Methods Eng
    • Nguyen-Xuan, H.1    Nguyen-Thoi, T.2
  • 40
    • 74949125855 scopus 로고    scopus 로고
    • A G space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part I theory and Part II applications to solid mechanics problems
    • Liu GR (2010) A G space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part I theory and Part II applications to solid mechanics problems. Int J Numer Methods Eng 81:1093-1156
    • (2010) Int. J. Numer Methods Eng , vol.81 , pp. 1093-1156
    • Liu, G.R.1
  • 41
    • 47149092854 scopus 로고    scopus 로고
    • A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods
    • Liu GR (2008) A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods. Int J Comput Methods 2:199-236
    • (2008) Int. J. Comput Methods , vol.2 , pp. 199-236
    • Liu, G.R.1
  • 42
    • 56049099546 scopus 로고    scopus 로고
    • A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems
    • Liu GR, Nguyen-Thoi T, Nguyen-Xuan H, Lam KY (2009) A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems. Comput Struct 87:14-26
    • (2009) Comput Struct , vol.87 , pp. 14-26
    • Liu, G.R.1    Nguyen-Thoi, T.2    Nguyen-Xuan, H.3    Lam, K.Y.4
  • 43
    • 76449110036 scopus 로고    scopus 로고
    • Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems
    • Nguyen-Thoi T, Liu GR, Nguyen-Xuan H (2009) Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. Int J Comput Methods 6:633-666
    • (2009) Int. J. Comput Methods , vol.6 , pp. 633-666
    • Nguyen-Thoi, T.1    Liu, G.R.2    Nguyen-Xuan, H.3
  • 44
    • 59349084912 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids
    • Liu GR, Nguyen-Thoi T, Lam KY (2009) An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids. J Sound Vib 320:1100-1130
    • (2009) J. Sound Vib , vol.320 , pp. 1100-1130
    • Liu, G.R.1    Nguyen-Thoi, T.2    Lam, K.Y.3
  • 45
    • 68549085478 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) for analysis of two-dimensional piezoelectric structures
    • Nguyen-Xuan H, Liu GR, Nguyen-Thoi T, Nguyen-Tran C (2009) An edge-based smoothed finite element method (ES-FEM) for analysis of two-dimensional piezoelectric structures. Smart Mater Struct 18:065015
    • (2009) Smart Mater Struct , vol.18 , pp. 065015
    • Nguyen-Xuan, H.1    Liu, G.R.2    Nguyen-Thoi, T.3    Nguyen-Tran, C.4
  • 46
    • 73649124249 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates
    • Nguyen-Xuan H, Liu GR, Thai-Hoang C, Nguyen-Thoi T (2010) An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Comput Methods Appl Mech Eng 199:471-489
    • (2010) Comput Methods Appl. Mech Eng , vol.199 , pp. 471-489
    • Nguyen-Xuan, H.1    Liu, G.R.2    Thai-Hoang, C.3    Nguyen-Thoi, T.4
  • 47
    • 70349687592 scopus 로고    scopus 로고
    • An edge-based smoothed finite element method (ES-FEM) for viscoelastoplastic analyses in 2d solids using triangular mesh
    • Nguyen-Thoi T, Liu GR, Vu-Do HC, Nguyen-Xuan H (2009) An edge-based smoothed finite element method (ES-FEM) for viscoelastoplastic analyses in 2d solids using triangular mesh. Comput Mech 45:23-44
    • (2009) Comput Mech , vol.45 , pp. 23-44
    • Nguyen-Thoi, T.1    Liu, G.R.2    Vu-Do, H.C.3    Nguyen-Xuan, H.4
  • 48
    • 77951287432 scopus 로고    scopus 로고
    • An edge-based smoothed finite elementmethod for primal-dual shakedown analysis of structures
    • Tran TN, Liu GR, Nguyen-Xuan H, Nguyen-Thoi T (2010) An edge-based smoothed finite elementmethod for primal-dual shakedown analysis of structures. Int J Numer Methods Eng 82:917-938
    • (2010) Int. J. Numer Methods Eng , vol.82 , pp. 917-938
    • Tran, T.N.1    Liu, G.R.2    Nguyen-Xuan, H.3    Nguyen-Thoi, T.4
  • 49
    • 71449118296 scopus 로고    scopus 로고
    • Analysis of plates and shells using an edge-based smoothed finite element method
    • Cui X, Liu GR, Li G, Zhang GY, Zheng G (2010) Analysis of plates and shells using an edge-based smoothed finite element method. Comput Mech 45:141-156
    • (2010) Comput Mech , vol.45 , pp. 141-156
    • Cui, X.1    Liu, G.R.2    Li, G.3    Zhang, G.Y.4    Zheng, G.5
  • 50
    • 64049100075 scopus 로고    scopus 로고
    • Aface-based smoothed finite element method (FS-FEM) for 3d linear and nonlinear solidmechanics problems using 4-node tetrahedral elements
    • Nguyen-Thoi T, Liu GR, Lam KY, Zhang GY (2009) Aface-based smoothed finite element method (FS-FEM) for 3d linear and nonlinear solidmechanics problems using 4-node tetrahedral elements. Int J Numer Methods Eng 78:324-353
    • (2009) Int. J. Numer Methods Eng , vol.78 , pp. 324-353
    • Nguyen-Thoi, T.1    Liu, G.R.2    Lam, K.Y.3    Zhang, G.Y.4
  • 51
  • 52
    • 79251583168 scopus 로고    scopus 로고
    • Adaptive analysis using the node-based smoothed finite element method (NS-FEM)
    • press. doi:10.1002/cnm.1291
    • Nguyen-Thoi T, Liu GR, Nguyen-Xuan H, Nguyen-Tran C (2009) Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Commun Numer Methods Eng (in press). doi:10.1002/cnm.1291
    • (2009) Commun. Numer Methods Eng
    • Nguyen-Thoi, T.1    Liu, G.R.2    Nguyen-Xuan, H.3    Nguyen-Tran, C.4
  • 53
    • 77954759871 scopus 로고    scopus 로고
    • Temporal stabilization of the node-based smoothed finite element method (NS-FEM) and solution bound of linear elastostatics and vibration problems
    • press. doi:10.1007/s00466-009-0420-5
    • Zhang ZQ, Liu GR (2010) Temporal stabilization of the node-based smoothed finite element method (NS-FEM) and solution bound of linear elastostatics and vibration problems. Comput Mech (in press). doi:10.1007/s00466-009-0420-5
    • (2010) Comput Mech
    • Zhang, Z.Q.1    Liu, G.R.2
  • 54
    • 47149112776 scopus 로고    scopus 로고
    • A novel alpha finite element method (áFEM) for exact solution to mechanics problems using triangular and tetrahedral elements
    • Liu GR, Nguyen-Thoi T, Lam KY (2008) A novel alpha finite element method (áFEM) for exact solution to mechanics problems using triangular and tetrahedral elements. Comput Methods Appl Mech Eng 197:3883-3897
    • (2008) Comput Methods Appl. Mech Eng , vol.197 , pp. 3883-3897
    • Liu, G.R.1    Nguyen-Thoi, T.2    Lam, K.Y.3
  • 55
    • 64449088696 scopus 로고    scopus 로고
    • A novel Galerkin-like weakform and a superconvergent alpha finite element method (SáFEM) for mechanics problems using triangular meshes
    • Liu GR, Nguyen-Xuan H, Nguyen-Thoi T, Xu X (2009) A novel Galerkin-like weakform and a superconvergent alpha finite element method (SáFEM) for mechanics problems using triangular meshes. J Comput Phys 228:4055-4087
    • (2009) J. Comput Phys. , vol.228 , pp. 4055-4087
    • Liu, G.R.1    Nguyen-Xuan, H.2    Nguyen-Thoi, T.3    Xu, X.4
  • 56
    • 73549107207 scopus 로고    scopus 로고
    • An alternative alpha finite element method (Aáfem) free and forced vibration analysis of solids using triangular meshes
    • Nguyen-Thanh N, Rabczuk T, Nguyen-Xuan H, Bordas S (2010) An alternative alpha finite element method (Aáfem) free and forced vibration analysis of solids using triangular meshes. J Comput Appl Math 223(9):2112-2135
    • (2010) J. Comput Appl. Math. , vol.223 , Issue.9 , pp. 2112-2135
    • Nguyen-Thanh, N.1    Rabczuk, T.2    Nguyen-Xuan, H.3    Bordas, S.4
  • 57
    • 0037401971 scopus 로고    scopus 로고
    • On optimal stabilized mitc4 plate bending elements for accurate frequency response analysis
    • Thompson LL (2003) On optimal stabilized mitc4 plate bending elements for accurate frequency response analysis. Comput Struct 81:995-1008
    • (2003) Comput Struct , vol.81 , pp. 995-1008
    • Thompson, L.L.1
  • 58
    • 3242688090 scopus 로고    scopus 로고
    • Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method
    • Liew KM, Wang J, Ng TY, Tan MJ (2004) Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method. J Sound Vib 276:997-1017
    • (2004) J. Sound Vib , vol.276 , pp. 997-1017
    • Liew, K.M.1    Wang, J.2    Ng, T.Y.3    Tan, M.J.4
  • 59
  • 61
    • 0032072983 scopus 로고    scopus 로고
    • A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications
    • Bonet J, Burton AJ (1998) A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications. Commun Numer Methods Eng 14:437-449
    • (1998) Commun. Numer Methods Eng , vol.14 , pp. 437-449
    • Bonet, J.1    Burton, A.J.2
  • 63
    • 0035419143 scopus 로고    scopus 로고
    • An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications
    • Bonet J, Marriott H, Hassan O (2001) An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications. Commun Numer Methods Eng 17:551-561
    • (2001) Commun. Numer Methods Eng , vol.17 , pp. 551-561
    • Bonet, J.1    Marriott, H.2    Hassan, O.3
  • 64
    • 3242698064 scopus 로고    scopus 로고
    • An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains
    • Pires FMA, Neto EAD, Padilla JLD (2004) An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains. Commun Numer Methods Eng 20:569-583
    • (2004) Commun. Numer Methods Eng , vol.20 , pp. 569-583
    • Pires, F.M.A.1    Neto, E.A.D.2    Padilla, J.L.D.3
  • 67
    • 60949084429 scopus 로고    scopus 로고
    • Locking-free continuum displacement finite elements with nodal integration International
    • Krysl P, Zhu B (2008) Locking-free continuum displacement finite elements with nodal integration International. J Numer Methods Eng 76:1020-1043
    • (2008) J. Numer Methods Eng , vol.76 , pp. 1020-1043
    • Krysl, P.1    Zhu, B.2
  • 68
    • 70349246713 scopus 로고    scopus 로고
    • Displacement-based finite elements with nodal integration for Reissner-Mindlin plates
    • Castellazzi G, Krysl P (2009) Displacement-based finite elements with nodal integration for Reissner-Mindlin plates. Int J Numer Methods Eng 80:135-162
    • (2009) Int. J. Numer Methods Eng , vol.80 , pp. 135-162
    • Castellazzi, G.1    Krysl, P.2
  • 70
    • 0027607498 scopus 로고
    • A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner plate theory and assumed shear strain fieldspart II: An extended DKQ element for thick-plate bending analysis
    • Katili I (1993) A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner plate theory and assumed shear strain fieldspart II: an extended DKQ element for thick-plate bending analysis. Int J Numer Methods Eng 36:1885-1908
    • (1993) Int. J. Numer Methods Eng , vol.36 , pp. 1885-1908
    • Katili, I.1
  • 71
    • 4644353909 scopus 로고    scopus 로고
    • Free vibration analysis of plates by using a fournode finite element formulated with assumed natural transverse shear strain
    • Lee SJ (2004) Free vibration analysis of plates by using a fournode finite element formulated with assumed natural transverse shear strain. J Sound Vib 278:657-684
    • (2004) J. Sound Vib , vol.278 , pp. 657-684
    • Lee, S.J.1
  • 72
    • 0035810055 scopus 로고    scopus 로고
    • Free-vibration analysis of plates and shells with a nine-node assumed natural degenerated shell element
    • Lee SJ, Han SE (2001) Free-vibration analysis of plates and shells with a nine-node assumed natural degenerated shell element. J Sound Vib 241:605-633
    • (2001) J. Sound Vib , vol.241 , pp. 605-633
    • Lee, S.J.1    Han, S.E.2
  • 73
    • 0742270392 scopus 로고    scopus 로고
    • Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method
    • Liew KM, Chen XL (2004) Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method. Int J Solids Struct 41:1677-1695
    • (2004) Int. J. Solids Struct , vol.41 , pp. 1677-1695
    • Liew, K.M.1    Chen, X.L.2
  • 78
    • 0019060591 scopus 로고
    • Natural frequencies ofmindlin circular plates
    • Irie T, Yamada G, Aomura S (1980) Natural frequencies ofmindlin circular plates. Appl Mech 47:652-655
    • (1980) Appl. Mech , vol.47 , pp. 652-655
    • Irie, T.1    Yamada, G.2    Aomura, S.3
  • 79
    • 0026681911 scopus 로고
    • Vibrations of cantilevered skewed trapezodial and triangular plates with corner stress singularities
    • McGee OG, Leissa AW, Huang CS (1992) Vibrations of cantilevered skewed trapezodial and triangular plates with corner stress singularities. Mech Sci 34:63-84
    • (1992) Mech Sci. , vol.34 , pp. 63-84
    • McGee, O.G.1    Leissa, A.W.2    Huang, C.S.3
  • 82
    • 0025670986 scopus 로고
    • Buckling analysis of arbitrary shaped plates by spline finite strip method
    • Tham LG, Szeto HY (1990) Buckling analysis of arbitrary shaped plates by spline finite strip method. Comput Struct 36:729-735
    • (1990) Comput Struct , vol.36 , pp. 729-735
    • Tham, L.G.1    Szeto, H.Y.2
  • 83
    • 0033688933 scopus 로고    scopus 로고
    • On the use of bubble functions in the local buckling analysis of plate structures by the spline finite strip method
    • Azhari M, Hoshdar S, Bradford MA (2000) On the use of bubble functions in the local buckling analysis of plate structures by the spline finite strip method. Int J Numer Methods Eng 48:583-593
    • (2000) Int. J. Numer Methods Eng , vol.48 , pp. 583-593
    • Azhari, M.1    Hoshdar, S.2    Bradford, M.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.