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Volumn 2, Issue 1, 2010, Pages 117-143

Refined beam theories based on a unified formulation

Author keywords

Beam structures; Closed form solution; Hierarchical modelling

Indexed keywords

APPROXIMATION ORDERS; BEAM STRUCTURES; BEAM THEORIES; CARRERA'S UNIFIED FORMULATION; CLASSICAL BEAM THEORY; CLOSED FORM SOLUTIONS; DEEP BEAM; EULER-BERNOULLI; FEM MODELS; FREE PARAMETERS; GEOMETRICAL PARAMETERS; GOVERNING DIFFERENTIAL EQUATIONS; HIERARCHICAL MODELLING; ISOTROPIC MATERIALS; LINEAR STATIC ANALYSIS; LOADING CONDITION; NUMERICAL INVESTIGATIONS; PLATES AND SHELLS; REFERENCE SOLUTION; REFINED THEORY; STRESS FIELD; THREE-DIMENSIONAL DISPLACEMENTS; TORSIONAL LOADINGS;

EID: 78549284416     PISSN: 17588251     EISSN: 1758826X     Source Type: Journal    
DOI: 10.1142/S1758825110000500     Document Type: Article
Times cited : (273)

References (38)
  • 1
    • 2142805055 scopus 로고
    • Equations of the theory of anisotropic inhomogeneous rods
    • Berdichevzy, V. L. [1976] "Equations of the theory of anisotropic inhomogeneous rods," Doklady Akademii Nauk SSR 228, 558-561.
    • (1976) Doklady Akademii Nauk SSR , vol.228 , pp. 558-561
    • Berdichevzy, V.L.1
  • 2
    • 0142179994 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking
    • Carrera, E. [2003] "Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking," Archives of Computational Methods in Engineering 10(3), 215-296.
    • (2003) Archives of Computational Methods in Engineering , vol.10 , Issue.3 , pp. 215-296
    • Carrera, E.1
  • 3
    • 34547267975 scopus 로고    scopus 로고
    • Hierarchical closed form solutions for plates bent by localized transverse loadings
    • DOI 10.1631/jzus.2007.A1026
    • Carrera, E. and Giunta, G. [2007] "Hierarchical closed form solutions for plates bent by localized transverse loadings," Journal of Zhejiang University SCIENCE A 8(7), 1026-1037. (Pubitemid 47146115)
    • (2007) Journal of Zhejiang University: Science A , vol.8 , Issue.7 , pp. 1026-1037
    • Carrera, E.1    Giunta, G.2    Brischetto, S.3
  • 4
    • 35148871662 scopus 로고    scopus 로고
    • Analysis of thickness locking in classical, refined and mixed multilayered plate theories
    • DOI 10.1016/j.compstruct.2007.02.002, PII S0263822307000360
    • Carrera, E. and Brischetto, S. [2008a] "Analysis of thickness locking in classical, refined and mixed multilayered plate theories," Composite Structures 82(4), 549-562. (Pubitemid 47543566)
    • (2008) Composite Structures , vol.82 , Issue.4 , pp. 549-562
    • Carrera, E.1    Brischetto, S.2
  • 5
    • 42649085380 scopus 로고    scopus 로고
    • Analysis of thickness locking in classical, refined and mixed theories for layered shells
    • DOI 10.1016/j.compstruct.2007.10.009, PII S0263822307002437
    • Carrera, E. and Brischetto, S. [2008b] "Analysis of thickness locking in classical, refined and mixed theories for layered shells," Composite Structures 85(1), 83-90. (Pubitemid 351598109)
    • (2008) Composite Structures , vol.85 , Issue.1 , pp. 83-90
    • Carrera, E.1    Brischetto, S.2
  • 6
    • 44449168448 scopus 로고    scopus 로고
    • Hierarchical models for failure analysis of plates bent by distributed and localized transverse loadings
    • Carrera, E. and Giunta, G. [2008] "Hierarchical models for failure analysis of plates bent by distributed and localized transverse loadings," Journal of Zhejiang University SCIENCE A 9(5), 600-613.
    • (2008) Journal of Zhejiang University SCIENCE A , vol.9 , Issue.5 , pp. 600-613
    • Carrera, E.1    Giunta, G.2
  • 7
    • 0007653595 scopus 로고
    • The shear co-efficient in Timoshenko beam theory
    • Cowper, G. R. [1966] "The shear co-efficient in Timoshenko beam theory," Journal of Applied Mechanics 33(10), 335-340.
    • (1966) Journal of Applied Mechanics , vol.33 , Issue.10 , pp. 335-340
    • Cowper, G.R.1
  • 8
    • 0031628253 scopus 로고    scopus 로고
    • Analytical theory for an approach calculation of composite box beams subjected to tension and bending
    • PII S1359836897000425
    • Estivalezes, E. and Barrau, J. J. [1998] "Analytical theory for an approach calculation of composite box beams subjected to tension and bending," Composites Part B 29(4), 371-376. (Pubitemid 128393167)
    • (1998) Composites Part B: Engineering , vol.29 , Issue.4 , pp. 371-376
    • Estivalezes, E.1    Barrau, J.-J.2
  • 11
    • 0025398910 scopus 로고
    • A review of composite rotor blade modeling
    • Hodges, D. H. [1990] "A review of composite rotor blade modeling," AIAA Journal 28(3), 561-565.
    • (1990) AIAA Journal , vol.28 , Issue.3 , pp. 561-565
    • Hodges, D.H.1
  • 12
    • 34147192122 scopus 로고    scopus 로고
    • A rigorous, engineer-friendly approach for modelling realistic, composite rotor blades
    • DOI 10.1002/we.215
    • Hodges, D. H. and Yu, W. [2007] "A rigorous, engineer-friendly approach for modelling realistic, composite rotor blades," Wind Energy 10, 179-193. (Pubitemid 46571654)
    • (2007) Wind Energy , vol.10 , Issue.2 , pp. 179-193
    • Hodges, D.H.1    Yu, W.2
  • 15
    • 0024703597 scopus 로고
    • Recent advances in analysis of laminated beams and plates. Part I. Shear effects and buckling
    • Kapania, R. K. and Raciti, S. [1989a] "Recent Advances in Analysis of Laminated Beams and Plates, Part I: Shear Effects and Buckling," AIAA Journal 27(7), 923-934. (Pubitemid 20683722)
    • (1989) AIAA journal , vol.27 , Issue.7 , pp. 923-934
    • Kapania Rakesh, K.1    Raciti Stefano2
  • 16
    • 0024703317 scopus 로고
    • Recent advances in analysis of laminated beams and plates. Part II. Vibrations and wave propagation
    • Kapania, R. K. and Raciti, S. [1989b] "Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation," AIAA Journal 27(7), 935-946. (Pubitemid 20683723)
    • (1989) AIAA journal , vol.27 , Issue.7 , pp. 935-946
    • Kapania Rakesh, K.1    Raciti Stefano2
  • 17
    • 3042791882 scopus 로고    scopus 로고
    • Flexural-torsional behavior of thin-walled composite beams
    • Lee, J. and Lee, S. [2004] "Flexural-torsional behavior of thin-walled composite beams," Thin-Walled Structures 42(9), 1293-1305.
    • (2004) Thin-Walled Structures , vol.42 , Issue.9 , pp. 1293-1305
    • Lee, J.1    Lee, S.2
  • 18
    • 20444491959 scopus 로고    scopus 로고
    • Flexural analysis of thin-walled composite beams using shear-deformable beam theory
    • DOI 10.1016/j.compstruct.2004.08.023, PII S0263822304002922
    • Lee, J. [2005] "Flexural analysis of thin-walled composite beams using shear-deformable beam theory," Composite Structures 70(2), 212-222. (Pubitemid 40829811)
    • (2005) Composite Structures , vol.70 , Issue.2 , pp. 212-222
    • Lee, J.1
  • 19
    • 0031125979 scopus 로고    scopus 로고
    • Generalized laminate theories based on double superposition hypothesis
    • Li, X. and Liu, D. [1997] "Generalized laminate theories based on double superposition hypothesis," International Journal for Numerical Methods in Engineering 40(7), 1197-1212. (Pubitemid 127571880)
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , Issue.7 , pp. 1197-1212
    • Li, X.1    Liu, D.2
  • 20
    • 77952877778 scopus 로고    scopus 로고
    • A novel scheme of strain-constructed point interpolation method for static and dynamic mechanics problems
    • Liu, G. R. and Zhang, G. Y. [2009] "A novel scheme of strain-constructed point interpolation method for static and dynamic mechanics problems," International Journal of Applied Mechanics 1(1), 233-258.
    • (2009) International Journal of Applied Mechanics , vol.1 , Issue.1 , pp. 233-258
    • Liu, G.R.1    Zhang, G.Y.2
  • 21
    • 0027147681 scopus 로고
    • Different numerical techniques for the estimation of multiaxial stresses in symmetric/unsymmetric composite and sandwich beams with refined theories
    • Manjunath, B. S. and Kant, T. [1993] "Different numerical techniques for the estimation of multiaxial stresses in symmetric/unsymmetric composite and sandwich beams with refined theories," Journal of Reinforced Plastics and Composites 12(1), 2-37. (Pubitemid 23619481)
    • (1993) Journal of Reinforced Plastics and Composites , vol.12 , Issue.1 , pp. 2-37
    • Manjunatha, B.S.1    Kant, T.2
  • 22
    • 0014869499 scopus 로고
    • Analysis of short beams
    • Murty, A. V. K. [1970] "Analysis of short beams," AIAA Journal 8(11), 2098-2100.
    • (1970) AIAA Journal , vol.8 , Issue.11 , pp. 2098-2100
    • Murty, A.V.K.1
  • 23
    • 0042637364 scopus 로고
    • Zur Torsion von Prismatischen Stäben
    • Prandtl, L. [1903] "Zur Torsion von Prismatischen Stäben," Zeitschrift Für Physik 4, 758-770.
    • (1903) Zeitschrift für Physik , vol.4 , pp. 758-770
    • Prandtl, L.1
  • 24
    • 0030081474 scopus 로고    scopus 로고
    • Beam elements based on a higher order theory - II. Boundary layer sensitivity and stress oscillations
    • DOI 10.1016/0045-7949(95)00186-K
    • Prathap, G. and Vinayak, R. U. and Naganarayana, B. P. [1996] "Beam elements based on a higher order theory-II. Boundary layer sensitivity and stress oscillations," Computers and Structures 58(4), 791-796. (Pubitemid 126341857)
    • (1996) Computers and Structures , vol.58 , Issue.4 , pp. 791-796
    • Prathap, G.1    Vinayak, R.U.2    Naganarayana, B.P.3
  • 25
    • 0032108530 scopus 로고    scopus 로고
    • Fundamental closed-form solutions for solid and thin-walled composite beams including a complete out-of-plane warping model
    • PII S0020768397001959
    • Rand, O. [1998] "Fundamental closed-form solutions for solid and thin-walled composite beams including a complete out-of-plane warping model," International Journal of Solids and Structures 35(21), 2775-2793. (Pubitemid 128368522)
    • (1998) International Journal of Solids and Structures , vol.35 , Issue.21 , pp. 2775-2793
    • Rand, O.1
  • 26
    • 0033741126 scopus 로고    scopus 로고
    • On the importance of cross-sectional warping in solid composite beams
    • Rand, O. [2000] "On the importance of cross-sectional warping in solid composite beams," Composite Structures 49(4), 393-397.
    • (2000) Composite Structures , vol.49 , Issue.4 , pp. 393-397
    • Rand, O.1
  • 27
    • 4944261596 scopus 로고    scopus 로고
    • Mechanics of laminated composite plates and shells
    • CRC Press
    • Reddy, J.-N. [2004] Mechanics of laminated composite plates and shells. Theory and Analysis (CRC Press).
    • (2004) Theory and Analysis
    • Reddy, J.-N.1
  • 30
    • 0000849966 scopus 로고
    • On the corrections for shear of the differential equation for transverse vibrations of prismatic bars
    • Timoshenko, S. P. [1921] "On the corrections for shear of the differential equation for transverse vibrations of prismatic bars," Philosophical Magazine 41, 744-746.
    • (1921) Philosophical Magazine , vol.41 , pp. 744-746
    • Timoshenko, S.P.1
  • 31
    • 0000868615 scopus 로고
    • On the transverse vibrations of bars of uniform cross section
    • Timoshenko, S. P. [1922] "On the transverse vibrations of bars of uniform cross section," Philosophical Magazine 43, 125-131.
    • (1922) Philosophical Magazine , vol.43 , pp. 125-131
    • Timoshenko, S.P.1
  • 34
    • 38849115635 scopus 로고    scopus 로고
    • A family of sinus finite elements for the analysis of rectangular laminated beams
    • DOI 10.1016/j.compstruct.2007.06.009, PII S026382230700178X
    • Vidal, P. and Polit O. [2008] "A family of sinus finite elements for the analysis of rectangular laminated beams," Composite Structures 84(1), 56-72. (Pubitemid 351201873)
    • (2008) Composite Structures , vol.84 , Issue.1 , pp. 56-72
    • Vidal, P.1    Polit, O.2
  • 35
    • 0030081730 scopus 로고    scopus 로고
    • Beam elements based on a higher order theory - I. Formulation and analysis of performance
    • DOI 10.1016/0045-7949(95)00185-J
    • Vinayak, R. U. and Prathap, G. and Naganarayana, B. P. [1996] "Beam elements based on a higher order theory-I. Formulation and analysis of performance," Computers and Structures 58(4), 775-789. (Pubitemid 126341856)
    • (1996) Computers and Structures , vol.58 , Issue.4 , pp. 775-789
    • Vinayak, R.U.1    Prathap, G.2    Naganarayana, B.P.3
  • 36
    • 0036747052 scopus 로고    scopus 로고
    • On Timoshenko-like modeling of initially curved and twisted composite beams
    • DOI 10.1016/S0020-7683(02)00399-2, PII S0020768302003992
    • Yu, W. and Hodges, D. H. and Volovoi, V. and Cesnik, C. E. S. [2002] "On Timoshenko-like modeling of initially curved and twisted composites beams," International Journal of Solids and Structures 39(19), 5101-5121. (Pubitemid 35151396)
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.19 , pp. 5101-5121
    • Yu, W.1    Hodges, D.H.2    Volovoi, V.3    Cesnik, C.E.S.4
  • 37
    • 8744311518 scopus 로고    scopus 로고
    • Elasticity solution versus asymptotic sectional analysis of homogeneous, isotropic, prismatic beams
    • Yu, W. and Hodges, D. H. [2004] "Elasticity solution versus asymptotic sectional analysis of homogeneous, isotropic, prismatic beams," Journal of Applied Mechanics 71(1), 15-23.
    • (2004) Journal of Applied Mechanics , vol.71 , Issue.1 , pp. 15-23
    • Yu, W.1    Hodges, D.H.2
  • 38
    • 0036743022 scopus 로고    scopus 로고
    • A displacement method for the analysis of flexural shear stresses in thin-walled isotropic composite beams
    • Wagner, W. and Gruttmann, F. [2002] "A displacement method for the analysis of flexural shear stresses in thin-walled isotropic composite beams," Computers Structures 80(24), 1843-1851.
    • (2002) Computers Structures , vol.80 , Issue.24 , pp. 1843-1851
    • Wagner, W.1    Gruttmann, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.