메뉴 건너뛰기




Volumn 271, Issue , 2014, Pages 48-68

A computational formulation for constrained solid and liquid membranes considering isogeometric finite elements

Author keywords

Contact constraints; Curvilinear coordinates; Follower loads; Isogeometric analysis; Nonlinear finite element methods; Volume constraints

Indexed keywords

CONTACT CONSTRAINT; CURVILINEAR COORDINATE; FOLLOWER LOADS; ISOGEOMETRIC ANALYSIS; NONLINEAR FINITE ELEMENT METHOD; VOLUME CONSTRAINT;

EID: 84891773103     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2013.11.025     Document Type: Article
Times cited : (77)

References (52)
  • 1
    • 84886364767 scopus 로고    scopus 로고
    • A four-node 3D isoparametric membrane element
    • Ambroziak A., Klosowski P. A four-node 3D isoparametric membrane element. Task Q. 2006, 10(1):35-47.
    • (2006) Task Q. , vol.10 , Issue.1 , pp. 35-47
    • Ambroziak, A.1    Klosowski, P.2
  • 2
    • 33750459745 scopus 로고    scopus 로고
    • Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures
    • Arciniega R.A., Reddy J.N. Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures. Comput. Methods Appl. Mech. Eng. 2007, 196(4-6):1048-1073.
    • (2007) Comput. Methods Appl. Mech. Eng. , vol.196 , Issue.4-6 , pp. 1048-1073
    • Arciniega, R.A.1    Reddy, J.N.2
  • 4
    • 16244408412 scopus 로고    scopus 로고
    • Models and finite elements for thin-walled structures
    • Wiley, (Chapter 3), E. Stein, R. de Borst, T.J.R. Hughes (Eds.) Encyclopedia of Computational Mechanics
    • Bischoff M., Wall W.A., Bletzinger K.-U., Ramm E. Models and finite elements for thin-walled structures. Solids and Structures 2004, vol. 2. Wiley, (Chapter 3). E. Stein, R. de Borst, T.J.R. Hughes (Eds.).
    • (2004) Solids and Structures , vol.2
    • Bischoff, M.1    Wall, W.A.2    Bletzinger, K.-U.3    Ramm, E.4
  • 5
    • 20044378541 scopus 로고    scopus 로고
    • Computational methods for form finding and optimization of shells and membranes
    • Bletzinger K.-U., Wüchner R., Daoud F., Camprubi N. Computational methods for form finding and optimization of shells and membranes. Comput. Methods Appl. Mech. Eng. 2005, 194(30-33):3438-3452.
    • (2005) Comput. Methods Appl. Mech. Eng. , vol.194 , Issue.30-33 , pp. 3438-3452
    • Bletzinger, K.-U.1    Wüchner, R.2    Daoud, F.3    Camprubi, N.4
  • 8
    • 0002457779 scopus 로고
    • Static drop on an inclined plate: analysis by the finite element method
    • Brown R.A., Orr F.M., Scriven L.E. Static drop on an inclined plate: analysis by the finite element method. J. Colloid Interface Sci. 1980, 73(1):76-87.
    • (1980) J. Colloid Interface Sci. , vol.73 , Issue.1 , pp. 76-87
    • Brown, R.A.1    Orr, F.M.2    Scriven, L.E.3
  • 9
    • 0021458526 scopus 로고
    • Pressure loaded structures under large deformations
    • Bufler H. Pressure loaded structures under large deformations. J. Appl. Math. Mech. 1984, 64(7):287-295.
    • (1984) J. Appl. Math. Mech. , vol.64 , Issue.7 , pp. 287-295
    • Bufler, H.1
  • 10
    • 0023829009 scopus 로고
    • A geometrically nonlinear finite element analysis of wrinkled membrane surfaces by a no-compression material model
    • Contri P., Schrefler B. A geometrically nonlinear finite element analysis of wrinkled membrane surfaces by a no-compression material model. Commun. Appl. Numer. Methods 1988, 1(4):5-15.
    • (1988) Commun. Appl. Numer. Methods , vol.1 , Issue.4 , pp. 5-15
    • Contri, P.1    Schrefler, B.2
  • 11
    • 80051946538 scopus 로고    scopus 로고
    • A large deformation frictional contact formulation using NURBS-based isogeometric analysis
    • De Lorenzis L., Temizer I., Wriggers P., Zavarise G. A large deformation frictional contact formulation using NURBS-based isogeometric analysis. Int. J. Numer. Methods Eng. 2011, 87:1278-1300.
    • (2011) Int. J. Numer. Methods Eng. , vol.87 , pp. 1278-1300
    • De Lorenzis, L.1    Temizer, I.2    Wriggers, P.3    Zavarise, G.4
  • 12
    • 84866276911 scopus 로고    scopus 로고
    • On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows
    • Dong S. On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows. Comput. Methods Appl. Mech. Eng. 2012, 247-248:179-200.
    • (2012) Comput. Methods Appl. Mech. Eng. , pp. 179-200
    • Dong, S.1
  • 13
    • 44749084481 scopus 로고    scopus 로고
    • Geometrically nonlinear formulation for thin shells without rotation degrees of freedom
    • Dung N.T., Wells G.N. Geometrically nonlinear formulation for thin shells without rotation degrees of freedom. Comput. Methods Appl. Mech. Eng. 2008, 197:2778-2788.
    • (2008) Comput. Methods Appl. Mech. Eng. , vol.197 , pp. 2778-2788
    • Dung, N.T.1    Wells, G.N.2
  • 14
  • 15
    • 0020135847 scopus 로고
    • Finite element computation of large rubber membrane deformations
    • Fried I. Finite element computation of large rubber membrane deformations. Int. J. Numer. Mech. Eng. 1982, 18:653-660.
    • (1982) Int. J. Numer. Mech. Eng. , vol.18 , pp. 653-660
    • Fried, I.1
  • 16
    • 0030315237 scopus 로고    scopus 로고
    • Optimal structural membranes I. Formulation of a curved quadrilateral element for surface definition
    • Gosling P., Lewis W. Optimal structural membranes I. Formulation of a curved quadrilateral element for surface definition. Comput. Struct. 1996, 61(5):885-895.
    • (1996) Comput. Struct. , vol.61 , Issue.5 , pp. 885-895
    • Gosling, P.1    Lewis, W.2
  • 17
    • 0016441185 scopus 로고
    • A continuum theory of elastic material surfaces
    • Gurtin M.E., Murdoch I. A continuum theory of elastic material surfaces. Arch. Ration. Mech. Anal. 1975, 57(4):291-323.
    • (1975) Arch. Ration. Mech. Anal. , vol.57 , Issue.4 , pp. 291-323
    • Gurtin, M.E.1    Murdoch, I.2
  • 18
    • 0028496015 scopus 로고
    • Analysis of partly wrinkled membranes by the method of dynamic relaxation
    • Haseganu E.M., Steigmann D.J. Analysis of partly wrinkled membranes by the method of dynamic relaxation. Comput. Mech. 1994, 14(6):596-614.
    • (1994) Comput. Mech. , vol.14 , Issue.6 , pp. 596-614
    • Haseganu, E.M.1    Steigmann, D.J.2
  • 19
    • 0027575532 scopus 로고
    • A consistent finite element formulation of nonlinear membrane shell theory with particular reference to elastic rubberlike material
    • Ibrahimbegovic A., Gruttmann F. A consistent finite element formulation of nonlinear membrane shell theory with particular reference to elastic rubberlike material. Finite Elem. Anal. Des. 1993, 13(1):75-86.
    • (1993) Finite Elem. Anal. Des. , vol.13 , Issue.1 , pp. 75-86
    • Ibrahimbegovic, A.1    Gruttmann, F.2
  • 20
    • 73449106075 scopus 로고    scopus 로고
    • A finite element framework for continua with boundary energies. Part II: the three-dimensional case
    • Javili A., Steinmann P. A finite element framework for continua with boundary energies. Part II: the three-dimensional case. Comput. Methods Appl. Mech. Eng. 2010, 199:755-765.
    • (2010) Comput. Methods Appl. Mech. Eng. , vol.199 , pp. 755-765
    • Javili, A.1    Steinmann, P.2
  • 21
    • 77954758965 scopus 로고    scopus 로고
    • The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
    • Kiendl J., Bazilevs Y., Hsu M.-C., Wüchner R., Bletzinger K.-U. The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches. Comput. Methods Appl. Mech. Eng. 2010, 199(37-40):2403-2416.
    • (2010) Comput. Methods Appl. Mech. Eng. , vol.199 , Issue.37-40 , pp. 2403-2416
    • Kiendl, J.1    Bazilevs, Y.2    Hsu, M.-C.3    Wüchner, R.4    Bletzinger, K.-U.5
  • 23
    • 80052791788 scopus 로고    scopus 로고
    • A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes
    • Kloeppel T., Wall W.A. A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes. Biomech. Model. Mechanobiol. 2011, 10(4):445-459.
    • (2011) Biomech. Model. Mechanobiol. , vol.10 , Issue.4 , pp. 445-459
    • Kloeppel, T.1    Wall, W.A.2
  • 25
    • 36148960100 scopus 로고    scopus 로고
    • Upgrading membranes to shells - the CEG rotation free element and its application in structural anaylsis
    • Linhard J., Wüchner R., Bletzinger K.-U. Upgrading membranes to shells - the CEG rotation free element and its application in structural anaylsis. Finite Elem. Anal. Des. 2007, 44(1-2):63-74.
    • (2007) Finite Elem. Anal. Des. , vol.44 , Issue.1-2 , pp. 63-74
    • Linhard, J.1    Wüchner, R.2    Bletzinger, K.-U.3
  • 26
    • 0035916186 scopus 로고    scopus 로고
    • Finite element analysis of membrane wrinkling
    • Lu K., Accorsi M., Leonard J. Finite element analysis of membrane wrinkling. Int. J. Numer. Methods Eng. 2001, 50(5):1017-1038.
    • (2001) Int. J. Numer. Methods Eng. , vol.50 , Issue.5 , pp. 1017-1038
    • Lu, K.1    Accorsi, M.2    Leonard, J.3
  • 28
    • 0030291867 scopus 로고    scopus 로고
    • A finite element for wrinkled curved elastic membranes, and its application to sails
    • Muttin F. A finite element for wrinkled curved elastic membranes, and its application to sails. Commun. Numer. Methods Eng. 1996, 12:775-785.
    • (1996) Commun. Numer. Methods Eng. , vol.12 , pp. 775-785
    • Muttin, F.1
  • 31
    • 0001541469 scopus 로고
    • Finite strains and displacements of elastic membranes by the finite element method
    • Oden J.T., Sato T. Finite strains and displacements of elastic membranes by the finite element method. Int. J. Solids Struct. 1967, 3(4):471-488.
    • (1967) Int. J. Solids Struct. , vol.3 , Issue.4 , pp. 471-488
    • Oden, J.T.1    Sato, T.2
  • 32
    • 0023541933 scopus 로고
    • The wrinkling of thin membranes: Part II numerical analysis
    • Roddeman D., Drukker J., Oomens C., Janssen J. The wrinkling of thin membranes: Part II numerical analysis. J. Appl. Mech. 1987, 54(4):888.
    • (1987) J. Appl. Mech. , vol.54 , Issue.4 , pp. 888
    • Roddeman, D.1    Drukker, J.2    Oomens, C.3    Janssen, J.4
  • 33
    • 0037435676 scopus 로고    scopus 로고
    • Volume dependent pressure loading and its influence on the stability of structures
    • Rumpel T., Schweizerhof K. Volume dependent pressure loading and its influence on the stability of structures. Int. J. Numer. Methods Eng. 2003, 56:211-238.
    • (2003) Int. J. Numer. Methods Eng. , vol.56 , pp. 211-238
    • Rumpel, T.1    Schweizerhof, K.2
  • 34
    • 79960090528 scopus 로고    scopus 로고
    • Enriched contact finite elements for stable peeling computations
    • Sauer R.A. Enriched contact finite elements for stable peeling computations. Int. J. Numer. Methods Eng. 2011, 87:593-616.
    • (2011) Int. J. Numer. Methods Eng. , vol.87 , pp. 593-616
    • Sauer, R.A.1
  • 35
    • 84879842724 scopus 로고    scopus 로고
    • Local finite element enrichment strategies for 2D contact computations and a corresponding postprocessing scheme
    • Sauer R.A. Local finite element enrichment strategies for 2D contact computations and a corresponding postprocessing scheme. Comput. Mech. 2013, 52(2):301-319.
    • (2013) Comput. Mech. , vol.52 , Issue.2 , pp. 301-319
    • Sauer, R.A.1
  • 36
    • 84891819062 scopus 로고    scopus 로고
    • Stabilized finite element formulations for liquid membranes and their application to droplet contact, (submitted for publication).
    • R.A. Sauer, Stabilized finite element formulations for liquid membranes and their application to droplet contact, (submitted for publication).
    • Sauer, R.A.1
  • 37
    • 84868694612 scopus 로고    scopus 로고
    • A computational contact formulation based on surface potentials
    • Sauer R.A., De Lorenzis L. A computational contact formulation based on surface potentials. Comput. Methods Appl. Mech. Eng. 2013, 253:369-395.
    • (2013) Comput. Methods Appl. Mech. Eng. , vol.253 , pp. 369-395
    • Sauer, R.A.1    De Lorenzis, L.2
  • 38
    • 84878624475 scopus 로고    scopus 로고
    • A detailed 3D finite element analysis of the peeling behavior of a gecko spatula
    • Sauer R.A., Holl M. A detailed 3D finite element analysis of the peeling behavior of a gecko spatula. Comput. Methods Biomech. Biomed. Eng. 2013, 16(6):577-591.
    • (2013) Comput. Methods Biomech. Biomed. Eng. , vol.16 , Issue.6 , pp. 577-591
    • Sauer, R.A.1    Holl, M.2
  • 39
    • 0021312293 scopus 로고
    • Displacement dependent pressure loads in nonlinear finite element analyses
    • Schweizerhof K., Ramm E. Displacement dependent pressure loads in nonlinear finite element analyses. Comput. Struct. 1984, 18(6):1099-1114.
    • (1984) Comput. Struct. , vol.18 , Issue.6 , pp. 1099-1114
    • Schweizerhof, K.1    Ramm, E.2
  • 41
    • 0024619943 scopus 로고
    • On a stress resultant geometrically exact shell model. Part I: formulation and optimal parameterization
    • Simo J.C., Fox D.D. On a stress resultant geometrically exact shell model. Part I: formulation and optimal parameterization. Comput. Methods Appl. Mech. Eng. 1989, 72:267-304.
    • (1989) Comput. Methods Appl. Mech. Eng. , vol.72 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 42
    • 0025399242 scopus 로고
    • On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory
    • Simo J.C., Fox D.D., Rifai M.S. On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory. Comput. Methods Appl. Mech. Eng. 1990, 79:21-70.
    • (1990) Comput. Methods Appl. Mech. Eng. , vol.79 , pp. 21-70
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 43
    • 0037399890 scopus 로고    scopus 로고
    • FE analysis of large deformations of membranes with wrinkling
    • Stanuszek M. FE analysis of large deformations of membranes with wrinkling. Finite. Elem. Anal. Des. 2003, 39(7):599-618.
    • (2003) Finite. Elem. Anal. Des. , vol.39 , Issue.7 , pp. 599-618
    • Stanuszek, M.1
  • 44
    • 0038250193 scopus 로고    scopus 로고
    • On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells
    • Steigmann D.J. On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Math. Mech. Solids 1999, 4:275-288.
    • (1999) Math. Mech. Solids , vol.4 , pp. 275-288
    • Steigmann, D.J.1
  • 45
    • 34547650550 scopus 로고
    • Large strain analysis of an inflating membrane
    • Tang S.C. Large strain analysis of an inflating membrane. Comput. Struct. 1982, 15(1):71-78.
    • (1982) Comput. Struct. , vol.15 , Issue.1 , pp. 71-78
    • Tang, S.C.1
  • 46
    • 83455181790 scopus 로고    scopus 로고
    • Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS
    • Temizer I., Wriggers P., Hughes T.J.R. Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Comput. Methods Appl. Mech. Eng. 2012, 209-212:115-128.
    • (2012) Comput. Methods Appl. Mech. Eng. , pp. 115-128
    • Temizer, I.1    Wriggers, P.2    Hughes, T.J.R.3
  • 47
    • 43349093493 scopus 로고    scopus 로고
    • A geometrically exact thin membrane model - investigation of large deformation and wrinkling
    • Weinberg K., Neff P. A geometrically exact thin membrane model - investigation of large deformation and wrinkling. Int. J. Numer. Methods Eng. 2008, 74:871-893.
    • (2008) Int. J. Numer. Methods Eng. , vol.74 , pp. 871-893
    • Weinberg, K.1    Neff, P.2
  • 50
    • 0025545205 scopus 로고
    • A fully non-linear axisymmetrical membrane element for rubber-like materials
    • Wriggers P., Taylor R.L. A fully non-linear axisymmetrical membrane element for rubber-like materials. Eng. Comput. 1990, 7(1):303-310.
    • (1990) Eng. Comput. , vol.7 , Issue.1 , pp. 303-310
    • Wriggers, P.1    Taylor, R.L.2
  • 51
    • 0030151123 scopus 로고    scopus 로고
    • A three-dimensional FE nonlinear analysis of membranes
    • Wu B., Du X., Tan H. A three-dimensional FE nonlinear analysis of membranes. Comput Struct. 1996, 59(4):1-5.
    • (1996) Comput Struct. , vol.59 , Issue.4 , pp. 1-5
    • Wu, B.1    Du, X.2    Tan, H.3
  • 52
    • 33645385397 scopus 로고    scopus 로고
    • Finite element analysis of wrinkling membrane structures with large deformations
    • Youn S.-K., Lee E.-S. Finite element analysis of wrinkling membrane structures with large deformations. Finite Elem. Anal. Des. 2006, 42(8-9):780-791.
    • (2006) Finite Elem. Anal. Des. , vol.42 , Issue.8-9 , pp. 780-791
    • Youn, S.-K.1    Lee, E.-S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.