메뉴 건너뛰기




Volumn 47, Issue 25-26, 2010, Pages 3537-3545

On shear correction factors in the non-linear theory of elastic shells

Author keywords

Constitutive equations; Non linear theory; Numerical analysis by FEM; Shear correction factors; Shell; six Field theory

Indexed keywords

BASE SURFACE; BIFURCATION POINTS; COMPLEMENTARY ENERGY; CORRECTION FACTORS; CROSS SECTION; DYNAMIC CONSTRAINTS; DYNAMIC PROBLEM; ELASTIC SHELLS; FIELD THEORY; NON-LINEAR; NON-LINEAR THEORY; NUMERICAL EXAMPLE; RELATIVE ERRORS; SHEAR CORRECTION FACTORS; SHELL; SHELL MATERIALS; SHELL STRUCTURE; SHELL THICKNESS; THEORETICAL VALUES; TOTAL ENERGY; TRANSVERSE SHEAR STRESS;

EID: 77957931893     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.09.002     Document Type: Article
Times cited : (67)

References (66)
  • 1
    • 65649140079 scopus 로고    scopus 로고
    • On the linear theory of micropolar plates
    • H. Altenbach, and V.A. Eremeyev On the linear theory of micropolar plates Z. Angew. Math. Mech. 89 4 2009 242 256
    • (2009) Z. Angew. Math. Mech. , vol.89 , Issue.4 , pp. 242-256
    • Altenbach, H.1    Eremeyev, V.A.2
  • 2
    • 0008882820 scopus 로고
    • General theory of elastic simple shells
    • H. Altenbach, and P.A. Zhilin General theory of elastic simple shells Adv. Mech. 11 4 1988 107 148 (in Russian)
    • (1988) Adv. Mech. , vol.11 , Issue.4 , pp. 107-148
    • Altenbach, H.1    Zhilin, P.A.2
  • 5
    • 0024606664 scopus 로고
    • Assumed strain stabilization procedure for the 9-node Lagrange shell element
    • T. Belytschko, B.L. Wong, and H. Stolarski Assumed strain stabilization procedure for the 9-node Lagrange shell element Int. J. Numer. Meth. Eng. 28 1989 385 414
    • (1989) Int. J. Numer. Meth. Eng. , vol.28 , pp. 385-414
    • Belytschko, T.1    Wong, B.L.2    Stolarski, H.3
  • 6
    • 0030102317 scopus 로고    scopus 로고
    • A 4-node shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
    • P. Betsh, F. Gruttmann, and E. Stein A 4-node shell element for the implementation of general hyperelastic 3D-elasticity at finite strains Comput. Meth. Appl. Mech. Eng. 130 1996 57 79
    • (1996) Comput. Meth. Appl. Mech. Eng. , vol.130 , pp. 57-79
    • Betsh, P.1    Gruttmann, F.2    Stein, E.3
  • 8
    • 0034325511 scopus 로고    scopus 로고
    • On the physical significance of higher order kinematic and static variables in a three-dimensional shell formulation
    • M. Bischoff, and E. Ramm On the physical significance of higher order kinematic and static variables in a three-dimensional shell formulation Int. J. Solids Struct. 37 2000 6933 6960
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 6933-6960
    • Bischoff, M.1    Ramm, E.2
  • 10
    • 0000379852 scopus 로고
    • Contribution au probléme linéaire de flexion d'une plaque élastique
    • L. Bolle Contribution au probléme linéaire de flexion d'une plaque élastique Bull. Tech. Suisse Rom. 73 21 1947 281 285
    • (1947) Bull. Tech. Suisse Rom. , vol.73 , Issue.21 , pp. 281-285
    • Bolle, L.1
  • 13
    • 80052611032 scopus 로고    scopus 로고
    • Modeling of composite shells in 6-parameter nonlinear theory with drilling degree of freedom
    • in press
    • Chróscielewski, J., Kreja I., Sabik A., Witkowski W., in press. Modeling of composite shells in 6-parameter nonlinear theory with drilling degree of freedom. Mech. Adv. Mater. Struct.
    • Mech. Adv. Mater. Struct.
    • Chróscielewski, J.1
  • 16
    • 0026887846 scopus 로고
    • Genuinely resultant shell finite elements accounting for geometric and material non-linearity
    • J. Chróścielewski, J. Makowski, and H. Stumpf Genuinely resultant shell finite elements accounting for geometric and material non-linearity Int. J. Numer. Meth. Eng. 35 1992 63 94
    • (1992) Int. J. Numer. Meth. Eng. , vol.35 , pp. 63-94
    • Chróścielewski, J.1    Makowski, J.2    Stumpf, H.3
  • 18
    • 33751512072 scopus 로고    scopus 로고
    • Four-node semi-EAS element in six-field nonlinear theory of shells
    • J. Chróścielewski, and W. Witkowski Four-node semi-EAS element in six-field nonlinear theory of shells Int. J. Numer. Meth. Eng. 68 2006 1137 1179
    • (2006) Int. J. Numer. Meth. Eng. , vol.68 , pp. 1137-1179
    • Chróścielewski, J.1    Witkowski, W.2
  • 19
    • 72649098453 scopus 로고    scopus 로고
    • On some constitutive equations for micropolar plates
    • J. Chróścielewski, and W. Witkowski On some constitutive equations for micropolar plates Z. Angew. Math. Mech. 90 1 2010 53 64
    • (2010) Z. Angew. Math. Mech. , vol.90 , Issue.1 , pp. 53-64
    • Chróścielewski, J.1    Witkowski, W.2
  • 20
    • 77956556250 scopus 로고    scopus 로고
    • Discrepancies of energy values in dynamics of three intersecting plates
    • J. Chróścielewski, and W. Witkowski Discrepancies of energy values in dynamics of three intersecting plates Int. J. Numer. Meth. Biomed. Engng. 26 2010 1188 1202 10.1002/cnm.1208
    • (2010) Int. J. Numer. Meth. Biomed. Engng. , vol.26 , pp. 1188-1202
    • Chróścielewski, J.1    Witkowski, W.2
  • 21
    • 0033115566 scopus 로고    scopus 로고
    • Finite element concepts for finite elastoplastic strain and isotropic stress response in shells: Theoretical and computational analysis
    • R. Eberlein, and P. Wriggers Finite element concepts for finite elastoplastic strain and isotropic stress response in shells: theoretical and computational analysis Comput. Meth. Appl. Mech. Eng. 171 1999 243 279
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.171 , pp. 243-279
    • Eberlein, R.1    Wriggers, P.2
  • 22
    • 3543053401 scopus 로고    scopus 로고
    • The non-linear theory of elastic shells with phase transitions
    • V.A. Eremeyev, and W. Pietraszkiewicz The non-linear theory of elastic shells with phase transitions J. Elasticity 74 2004 67 86
    • (2004) J. Elasticity , vol.74 , pp. 67-86
    • Eremeyev, V.A.1    Pietraszkiewicz, W.2
  • 23
    • 33748553733 scopus 로고    scopus 로고
    • Local symmetry group in the general theory of elastic shells
    • V.A. Eremeyev, and W. Pietraszkiewicz Local symmetry group in the general theory of elastic shells J. Elasticity 85 2006 125 152
    • (2006) J. Elasticity , vol.85 , pp. 125-152
    • Eremeyev, V.A.1    Pietraszkiewicz, W.2
  • 24
    • 61649099062 scopus 로고    scopus 로고
    • Phase transitions in thermoelastic and thermoviscoelastic shells
    • V.A. Eremeyev, and W. Pietraszkiewicz Phase transitions in thermoelastic and thermoviscoelastic shells Arch. Mech. 61 1 2009 41 67
    • (2009) Arch. Mech. , vol.61 , Issue.1 , pp. 41-67
    • Eremeyev, V.A.1    Pietraszkiewicz, W.2
  • 26
    • 0014996216 scopus 로고
    • Linear theory of Cosserat surface and elastic plates of variable thickness
    • A.E. Green, P.M. Naghdi, and M.L. Wenner Linear theory of Cosserat surface and elastic plates of variable thickness Proc. Camb. Phil. Soc. 69 1971 227 254
    • (1971) Proc. Camb. Phil. Soc. , vol.69 , pp. 227-254
    • Green, A.E.1    Naghdi, P.M.2    Wenner, M.L.3
  • 28
    • 0040087978 scopus 로고
    • Non-classical theories of vibrations of bars, plates, and shells
    • Summaries of Science and Technology VINITI Moscow
    • E.I. Grigoljuk, and I.T. Selezov Non-classical theories of vibrations of bars, plates, and shells Summaries of Science and Technology Mechanics of Deformable Solids vol. 5 1973 VINITI Moscow 1 273 (in Russian)
    • (1973) Mechanics of Deformable Solids , vol.5 , pp. 1-273
    • Grigoljuk, E.I.1    Selezov, I.T.2
  • 29
    • 0001476309 scopus 로고
    • The linear theory of elasticity
    • M.E. Gurtin The linear theory of elasticity C. Truesdell, Handbuch der Physik, Band VIa/2 1972 Springer Berlin 1 295
    • (1972) Handbuch der Physik, Band VIa/2 , pp. 1-295
    • Gurtin, M.E.1
  • 30
    • 0031119041 scopus 로고    scopus 로고
    • Stress resultant geometrically exact shell theory for finite rotations and its finite element implementation
    • A. Ibrahimbegović Stress resultant geometrically exact shell theory for finite rotations and its finite element implementation Appl. Mech. Rev. 50 4 1997 199 226
    • (1997) Appl. Mech. Rev. , vol.50 , Issue.4 , pp. 199-226
    • Ibrahimbegović, A.1
  • 31
    • 0028530262 scopus 로고
    • Stress resultant geometrically nonlinear shell theory with drilling rotations - Part II: Computational aspects
    • A. Ibrahimbegović, and F. Frey Stress resultant geometrically nonlinear shell theory with drilling rotations - part II: computational aspects Comput. Meth. Appl. Mech. Eng. 118 1994 285 308
    • (1994) Comput. Meth. Appl. Mech. Eng. , vol.118 , pp. 285-308
    • Ibrahimbegović, A.1    Frey, F.2
  • 32
    • 77957937513 scopus 로고    scopus 로고
    • The shear correction factor k
    • G. Jemielita The shear correction factor k C. Woźniak, Mechanics of Elastic Shells and Plates 2001 Polish Scientific Publishing House 136 149 (in Polish; Chapter II.9)
    • (2001) Mechanics of Elastic Shells and Plates , pp. 136-149
    • Jemielita, G.1
  • 33
    • 84981750370 scopus 로고
    • Estimates for the derivatives of the stresses in a thin shell and interior shell equations
    • F. John Estimates for the derivatives of the stresses in a thin shell and interior shell equations Commun. Pur. Appl. Math. 18 1 1965 235 267
    • (1965) Commun. Pur. Appl. Math. , vol.18 , Issue.1 , pp. 235-267
    • John, F.1
  • 35
    • 0030231580 scopus 로고    scopus 로고
    • Constraint energy momentum algorithm and its application to non-linear dynamics of shells
    • D. Kuhl, and E. Ramm Constraint energy momentum algorithm and its application to non-linear dynamics of shells Comput. Meth. Appl. Mech. Eng. 136 1996 293 315
    • (1996) Comput. Meth. Appl. Mech. Eng. , vol.136 , pp. 293-315
    • Kuhl, D.1    Ramm, E.2
  • 36
    • 0018503726 scopus 로고
    • Post-buckling strength of thin-walled members
    • H.P. Lee, and P.J. Haris Post-buckling strength of thin-walled members Comput. Struct. 10 1979 689 702
    • (1979) Comput. Struct. , vol.10 , pp. 689-702
    • Lee, H.P.1    Haris, P.J.2
  • 37
    • 0020869657 scopus 로고
    • Nonlinear elastic shell theory
    • A. Libai, and J.G. Simmonds Nonlinear elastic shell theory Adv. Appl. Mech. 23 1983 271 371
    • (1983) Adv. Appl. Mech. , vol.23 , pp. 271-371
    • Libai, A.1    Simmonds, J.G.2
  • 39
    • 77956540227 scopus 로고    scopus 로고
    • Energy-conserving time integration algorithm for six-field irregular shell dynamics
    • Madrid, 21-24, June 2005, ETS Ingenieros de Caminos Canales y Puertos, Universidad Politecnica de Madrid, Madrid 2005
    • Lubowiecka, I., Chróścielewski, J., 2005. Energy-conserving time integration algorithm for six-field irregular shell dynamics. In: ECCOMAS Thematic Conference: Advances in Computational Multibody Dynamics: Proceedings of Multibody Dynamics 2005, Madrid, 21-24, June 2005, ETS Ingenieros de Caminos Canales y Puertos, Universidad Politecnica de Madrid, Madrid, pp. 1-16.
    • (2005) ECCOMAS Thematic Conference: Advances in Computational Multibody Dynamics: Proceedings of Multibody Dynamics , pp. 1-16
    • Lubowiecka, I.1
  • 40
    • 0036544092 scopus 로고    scopus 로고
    • On dynamics of flexible branched shell structures undergoing large overall motion using finite elements
    • I. Lubowiecka, and J. Chróścielewski On dynamics of flexible branched shell structures undergoing large overall motion using finite elements Comput. Struct. 80 2002 891 898
    • (2002) Comput. Struct. , vol.80 , pp. 891-898
    • Lubowiecka, I.1    Chróścielewski, J.2
  • 41
    • 0022047205 scopus 로고
    • A proposed standard set of problems to test finite element accuracy
    • R.H. MacNeal, and R.L. Harder A proposed standard set of problems to test finite element accuracy Finite Elem. Anal. Des. 1 1985 3 20
    • (1985) Finite Elem. Anal. Des. , vol.1 , pp. 3-20
    • MacNeal, R.H.1    Harder, R.L.2
  • 42
    • 0035054054 scopus 로고    scopus 로고
    • Energy and momentum conserving elastodynamics of non-linear brick-type mixed finite shell element
    • C. Miehe, and J. Shroeder Energy and momentum conserving elastodynamics of non-linear brick-type mixed finite shell element Int. J. Numer. Meth. Eng. 50 2001 1801 1823
    • (2001) Int. J. Numer. Meth. Eng. , vol.50 , pp. 1801-1823
    • Miehe, C.1    Shroeder, J.2
  • 43
    • 0002195780 scopus 로고
    • Foundations of elastic shell theory
    • P.M. Naghdi Foundations of elastic shell theory I.N. Sneddon, R. Hill, Progress in Solid Mechanics vol. 4 1963 North-Holland Publishing Company Amsterdam 1 90
    • (1963) Progress in Solid Mechanics , vol.4 , pp. 1-90
    • Naghdi, P.M.1
  • 44
    • 0000838996 scopus 로고
    • The theory of shells and plates
    • Springer-Verlag Berlin
    • P.M. Naghdi The theory of shells and plates Handbuch der Physik, Band VIa/2 1972 Springer-Verlag Berlin 425 640
    • (1972) Handbuch der Physik, Band VIa/2 , pp. 425-640
    • Naghdi, P.M.1
  • 45
    • 85010134310 scopus 로고
    • Assessment of shear deformation theories for multilayered composite plates
    • A.K. Noor, and W.S. Burton Assessment of shear deformation theories for multilayered composite plates Appl. Mech. Rev. 42 1 1989 1 13
    • (1989) Appl. Mech. Rev. , vol.42 , Issue.1 , pp. 1-13
    • Noor, A.K.1    Burton, W.S.2
  • 47
    • 48649095820 scopus 로고    scopus 로고
    • Nine-node shell elements with 6 dofs/node based on two-level approximations. Part i theory and linear tests
    • P. Panasz, and K. Wiśniewski Nine-node shell elements with 6 dofs/node based on two-level approximations. Part I theory and linear tests Finite Elem. Anal. Des. 44 2008 784 796
    • (2008) Finite Elem. Anal. Des. , vol.44 , pp. 784-796
    • Panasz, P.1    Wiśniewski, K.2
  • 48
    • 5544271957 scopus 로고
    • Consistent second approximation to the elastic strain energy of a shell
    • W. Pietraszkiewicz Consistent second approximation to the elastic strain energy of a shell ZAMM 59 1979 206 208
    • (1979) ZAMM , vol.59 , pp. 206-208
    • Pietraszkiewicz, W.1
  • 50
    • 0020551780 scopus 로고
    • Finite rotations in the description of continuum deformation
    • W. Pietraszkiewicz, and J. Badur Finite rotations in the description of continuum deformation Int. J. Eng. Sci. 21 9 1983 1097 1115
    • (1983) Int. J. Eng. Sci. , vol.21 , Issue.9 , pp. 1097-1115
    • Pietraszkiewicz, W.1    Badur, J.2
  • 51
    • 85162732170 scopus 로고
    • On the theory of bending of elastic plates
    • E. Reissner On the theory of bending of elastic plates J. Math. Phys. 23 1944 184 191
    • (1944) J. Math. Phys. , vol.23 , pp. 184-191
    • Reissner, E.1
  • 52
    • 0005055799 scopus 로고
    • Linear and nonlinear theory of shells
    • Prentice-Hall Englewood Cliffs, NJ
    • E. Reissner Linear and nonlinear theory of shells Thin Shell Structures 1974 Prentice-Hall Englewood Cliffs, NJ 29 44
    • (1974) Thin Shell Structures , pp. 29-44
    • Reissner, E.1
  • 54
    • 0024619943 scopus 로고
    • On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parameterization
    • J.C. Simo, and D.D. Fox On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parameterization Comput. Meth. Appl. Mech. Eng. 72 1989 267 304
    • (1989) Comput. Meth. Appl. Mech. Eng. , vol.72 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 55
    • 0028483709 scopus 로고
    • A new energy and momentum conserving algorithm for the non-linear dynamics of shells
    • J.C. Simo, and N. Tarnow A new energy and momentum conserving algorithm for the non-linear dynamics of shells Int. J. Numer. Meth. Eng. 37 1994 2527 2549
    • (1994) Int. J. Numer. Meth. Eng. , vol.37 , pp. 2527-2549
    • Simo, J.C.1    Tarnow, N.2
  • 56
    • 0023964748 scopus 로고
    • On the dynamics in space of rods undergoing large motions. A geometrically exact approach
    • J.C. Simo, and L. Vu-Quoc On the dynamics in space of rods undergoing large motions. A geometrically exact approach Comput. Meth. Appl. Mech. Eng. 66 1988 125 161
    • (1988) Comput. Meth. Appl. Mech. Eng. , vol.66 , pp. 125-161
    • Simo, J.C.1    Vu-Quoc, L.2
  • 57
    • 24044435876 scopus 로고    scopus 로고
    • Efficient and accurate multilayer solid/shell element: Nonlinear materials at finite strain
    • X.G. Tan, and L. Vu-Quoc Efficient and accurate multilayer solid/shell element: nonlinear materials at finite strain Int. J. Numer. Meth. Eng. 63 2005 2124 2170
    • (2005) Int. J. Numer. Meth. Eng. , vol.63 , pp. 2124-2170
    • Tan, X.G.1    Vu-Quoc, L.2
  • 59
  • 60
    • 0035895487 scopus 로고    scopus 로고
    • Geometrically exact sandwich shells: The dynamic case
    • L. Vu-Quoc, H. Deng, and X.G. Tan Geometrically exact sandwich shells: the dynamic case Comput. Meth. Appl. Mech. Eng. 190 2001 2825 2873
    • (2001) Comput. Meth. Appl. Mech. Eng. , vol.190 , pp. 2825-2873
    • Vu-Quoc, L.1    Deng, H.2    Tan, X.G.3
  • 61
    • 0034325766 scopus 로고    scopus 로고
    • Multilayer shells: Geometrically exact formulation of equations of motion
    • L. Vu-Quoc, and I.K. Ebcioglu Multilayer shells: geometrically exact formulation of equations of motion Int. J. Solids Struct. 37 2000 6705 6737
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 6705-6737
    • Vu-Quoc, L.1    Ebcioglu, I.K.2
  • 62
    • 16244384610 scopus 로고    scopus 로고
    • On the physical meaning of the dynamical equations governing geometrically exact multilayer shells
    • L. Vu-Quoc, and I.K. Ebcioglu On the physical meaning of the dynamical equations governing geometrically exact multilayer shells Comput. Meth. Appl. Mech. Eng. 194 2005 2363 2384
    • (2005) Comput. Meth. Appl. Mech. Eng. , vol.194 , pp. 2363-2384
    • Vu-Quoc, L.1    Ebcioglu, I.K.2
  • 63
    • 0037469553 scopus 로고    scopus 로고
    • Optimal solid shells for non-linear analyses of multilayer composites. II Dynamics
    • DOI 10.1016/S0045-7825(02)00336-5
    • L. Vu-Quoc, and X.G. Tan Optimal solid shells for nonlinear analyses of multilayer composites. Part II: dynamics Comput. Meth. Appl. Mech. Eng. 192 2003 1017 1059 (Pubitemid 36294636)
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.9-10 , pp. 1017-1059
    • Vu-Quoc, L.1    Tan, X.G.2
  • 64
    • 26044450364 scopus 로고    scopus 로고
    • A robust non-linear mixed hybrid quadrilateral shell element
    • W. Wagner, and F. Gruttmann A robust non-linear mixed hybrid quadrilateral shell element Int. J. Numer. Meth. Eng. 64 2005 635 666 10.1002/nme.1387
    • (2005) Int. J. Numer. Meth. Eng. , vol.64 , pp. 635-666
    • Wagner, W.1    Gruttmann, F.2
  • 65
    • 0027576531 scopus 로고
    • Shell elements with drilling degree of freedoms based on micropolar elasticity theory
    • J.T. Yeh, and W.H. Chen Shell elements with drilling degree of freedoms based on micropolar elasticity theory Int. J. Numer. Meth. Eng. 36 1993 1145 1159
    • (1993) Int. J. Numer. Meth. Eng. , vol.36 , pp. 1145-1159
    • Yeh, J.T.1    Chen, W.H.2
  • 66
    • 0031642213 scopus 로고    scopus 로고
    • An energy-conserving co-rotational procedure for the dynamics of shell structures
    • H.G. Zhong, and M.A. Crisfield An energy-conserving co-rotational procedure for the dynamics of shell structures Eng. Comput. 15 1998 552 576
    • (1998) Eng. Comput. , vol.15 , pp. 552-576
    • Zhong, H.G.1    Crisfield, M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.