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Volumn 21, Issue 8, 2012, Pages

A multiscale method for the numerical analysis of active response characterization of 3D nastic structures

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVE MEMBRANES; BASE FUNCTION; ION TRANSPORTS; MECHANICAL ANALYSIS; MICROCAPSULES; MULTISCALE FINITE ELEMENT METHOD; MULTISCALE METHOD; MULTISCALES; NASTIC STRUCTURES; NUMERICAL RESULTS; RESPONSE PREDICTION;

EID: 84864222140     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/21/8/085009     Document Type: Article
Times cited : (12)

References (49)
  • 1
    • 13444252482 scopus 로고    scopus 로고
    • How the Venus flytrap snaps
    • DOI 10.1038/nature03185
    • Forterre Y, Skotheim J M, Dumais J and Mahadevan L 2005 How the venus flytrap snaps Nature 433 421-5 (Pubitemid 40203322)
    • (2005) Nature , vol.433 , Issue.7024 , pp. 421-425
    • Forterre, Y.1    Skotheim, J.M.2    Dumals, J.3    Mahadevan, L.4
  • 3
    • 84864233435 scopus 로고    scopus 로고
    • Homison C 2006 Coupled transport/hyperelastic model for high energy density nastic materials MS Thesis University of Pittsburgh
    • (2006) MS Thesis
    • Homison, C.1
  • 5
    • 33947163994 scopus 로고    scopus 로고
    • Controlled fluid transport using ATP-powered protein pumps
    • DOI 10.1088/0964-1726/16/2/S02, PII S096417260739558X, S02
    • Sundaresan V B and Leo D J 2007 Controlled fluid transport using ATP-powered protein pumps Smart Mater. Struct. 16 S207-13 (Pubitemid 46402820)
    • (2007) Smart Materials and Structures , vol.16 , Issue.2
    • Sundaresan, V.B.1    Leo, D.J.2
  • 6
    • 34247869690 scopus 로고    scopus 로고
    • Biological transport processes for microhydraulic actuation
    • DOI 10.1016/j.snb.2006.10.009, PII S092540050600685X
    • Sundaresan V B, Leo D J, Homison C and Weiland L M 2007 Biological transport processes for microhydraulic actuation Sensors Actuators B 123 685-95 (Pubitemid 46695812)
    • (2007) Sensors and Actuators, B: Chemical , vol.123 , Issue.2 , pp. 685-695
    • Sundaresan, V.B.1    Homison, C.2    Weiland, L.M.3    Leo, D.J.4
  • 7
    • 43049145862 scopus 로고    scopus 로고
    • Modeling and characterization of a chemomechanical actuator using protein transporter
    • DOI 10.1016/j.snb.2007.11.057, PII S0925400507009689
    • Sundaresan V B and Leo D J 2008 Modeling and characterization of a chemomechanical actuator using protein transporter Sensors Actuators B 131 384-93 (Pubitemid 351622106)
    • (2008) Sensors and Actuators, B: Chemical , vol.131 , Issue.2 , pp. 384-393
    • Sundaresan, V.B.1    Leo, D.J.2
  • 8
    • 58049098550 scopus 로고    scopus 로고
    • High energy density nastic materials: Parameters for tailoring active response
    • 10.1177/1045389X08092276 1045-389X
    • Freeman E and Weiland L M 2009 High energy density nastic materials: parameters for tailoring active response J. Intel. Mater. Syst. Struct. 20 233-43
    • (2009) J. Intel. Mater. Syst. Struct. , vol.20 , Issue.2 , pp. 233-243
    • Freeman, E.1    Weiland, L.M.2
  • 9
    • 78149375476 scopus 로고    scopus 로고
    • Applications of biologically inspired membranes
    • Freeman E and Weiland L M 2008 Applications of biologically inspired membranes Proc. ASME-SMASIS (Elicott, MD, Oct. 2008)
    • (2008) Proc. ASME-SMASIS
    • Freeman, E.1    Weiland, L.M.2
  • 10
    • 84864219744 scopus 로고    scopus 로고
    • Freeman E 2009 Applications of biologically inspired membranes MS Thesis University of Pittsburgh
    • (2009) MS Thesis
    • Freeman, E.1
  • 11
    • 78149235342 scopus 로고    scopus 로고
    • Application of proteins in burst delivery systems
    • 0964-1726
    • Freeman E, Weiland L M and Meng W S 2010 Application of proteins in burst delivery systems Smart Mater. Struct. 19 94015-24
    • (2010) Smart Mater. Struct. , vol.19 , pp. 94015-94024
    • Freeman, E.1    Weiland, L.M.2    Meng, W.S.3
  • 13
    • 0000556103 scopus 로고
    • Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper
    • Voigt W 1889 Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper Wied Ann 38 573-87
    • (1889) Wied Ann , vol.38 , pp. 573-587
    • Voigt, W.1
  • 14
    • 84956078977 scopus 로고
    • Berechnung del Fliessgrenze von Mischkristallen auf Grund der Plastizitätbedingung für Einkristalle
    • 10.1002/zamm.19290090104 0044-2267
    • Reuss A 1929 Berechnung del Fliessgrenze von Mischkristallen auf Grund der Plastizitätbedingung für Einkristalle Z. Angew. Math. Mech. 9 49-58
    • (1929) Z. Angew. Math. Mech. , vol.9 , Issue.1 , pp. 49-58
    • Reuss, A.1
  • 15
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion and related problem
    • 10.1098/rspa.1957.0133 1364-5021 A
    • Eshelby J D 1957 The determination of the elastic field of an ellipsoidal inclusion and related problem Proc. R. Soc. A 241 376-96
    • (1957) Proc. R. Soc. , vol.241 , Issue.1226 , pp. 376-396
    • Eshelby, J.D.1
  • 16
    • 85024598889 scopus 로고
    • The elastic moduli of heterogeneous materials
    • 10.1115/1.3636446 0021-8936
    • Hashin Z 1962 The elastic moduli of heterogeneous materials J. Appl. Mech. 29 143-50
    • (1962) J. Appl. Mech. , vol.29 , Issue.1 , pp. 143-150
    • Hashin, Z.1
  • 17
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • 10.1016/0001-6160(73)90064-3 0001-6160
    • Mori T and Tanaka K 1973 Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall. 21 571-4
    • (1973) Acta Metall. , vol.21 , Issue.5 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 18
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • 10.1016/0022-5096(65)90010-4 0022-5096
    • Hill R 1965 A self-consistent mechanics of composite materials J. Mech. Phys. Solids 13 213-22
    • (1965) J. Mech. Phys. Solids , vol.13 , Issue.4 , pp. 213-222
    • Hill, R.1
  • 19
    • 8344236638 scopus 로고
    • On the elastic moduli of some heterogeneous materials
    • 10.1016/0022-5096(65)90011-6 0022-5096
    • Budiansky B 1965 On the elastic moduli of some heterogeneous materials J. Mech. Phys. Solids 13 223-7
    • (1965) J. Mech. Phys. Solids , vol.13 , Issue.4 , pp. 223-227
    • Budiansky, B.1
  • 22
    • 0031211346 scopus 로고    scopus 로고
    • Computational plasticity for composite structures based on mathematical homogenization: Theory and practice
    • PII S0045782597000303
    • Fish J, Shek K, Pandheeradi M and Shephard M S 1997 Computational plasticity for composite structures based on mathematical homogenization: theory and practice Comput. Methods Appl. Mech. Eng. 148 53-73 (Pubitemid 127410037)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.148 , Issue.1-2 , pp. 53-73
    • Fish, J.1    Shek, K.2    Pandheeradi, M.3    Shephard, M.S.4
  • 23
    • 77955306909 scopus 로고    scopus 로고
    • Multi-scale computational homogenization: Trends and challenges
    • 10.1016/j.cam.2009.08.077 0377-0427
    • Geers M G D, Kouznetsova V G and Brekelmans W A M 2010 Multi-scale computational homogenization: trends and challenges J. Comput. Appl. Math. 234 2175-82
    • (2010) J. Comput. Appl. Math. , vol.234 , Issue.7 , pp. 2175-2182
    • Geers, M.G.D.1    Kouznetsova, V.G.2    Brekelmans, W.A.M.3
  • 24
    • 0034677856 scopus 로고    scopus 로고
    • 2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
    • DOI 10.1016/S0045-7825(99)00224-8, PII S0045782599002248, Advances in computational methods for damage mechanics
    • Feyel F and Chaboche J L 2000 FE2 multiscale approach for modeling the elastoviscoplastic behaviour of long fiber SiC/Ti composite materials Comput. Methods Appl. Mech. Eng. 183 309-30 (Pubitemid 30236809)
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.183 , Issue.3-4 , pp. 309-330
    • Feyel, F.1    Chaboche, J.-L.2
  • 25
    • 0029209453 scopus 로고
    • Multiple scale analysis of heterogeneous elastic structures using homogenisation theory and Voronoi cell finite element method
    • 10.1016/0020-7683(94)00097-G 0020-7683
    • Ghosh S, Lee K and Moorthy S 1995 Multiple scale analysis of heterogeneous elastic structures using homogenisation theory and Voronoi cell finite element method Int. J. Solids Struct. 32 27-62
    • (1995) Int. J. Solids Struct. , vol.32 , Issue.1 , pp. 27-62
    • Ghosh, S.1    Lee, K.2    Moorthy, S.3
  • 26
    • 33750216920 scopus 로고    scopus 로고
    • Parametric variational principle based elastic-plastic analysis of heterogeneous materials with Voronoi finite element method
    • DOI 10.1007/s10483-006-0804-1
    • Zhang H W and Wang H 2006 Parametric variational principle based elastic-plastic analysis of heterogeneous materials with Voronoi finite element method Appl. Math. Mech-Engl. 27 1037-47 (Pubitemid 44602793)
    • (2006) Applied Mathematics and Mechanics (English Edition) , vol.27 , Issue.8 , pp. 1037-1048
    • Zhang, H.-W.1    Wang, H.2
  • 27
    • 84880282987 scopus 로고    scopus 로고
    • The heterogeneous multi-scale method for homogenization problems
    • 10.1007/b137594
    • Engquist W E B 2005 The heterogeneous multi-scale method for homogenization problems Multiscale Methods in Science and Engineering (Berlin: Springer) pp 89-110
    • (2005) Multiscale Methods in Science and Engineering , vol.44 , pp. 89-110
    • Engquist, W.E.B.1
  • 28
    • 68049111256 scopus 로고    scopus 로고
    • Heterogeneous multiscale methods with quadrilateral finite elements
    • 10.1007/978-3-540-34288-5-72
    • Abdulle A 2006 Heterogeneous multiscale methods with quadrilateral finite elements Numerical Mathematics and Advanced Applications (Berlin: Springer) pp 743-51
    • (2006) Numerical Mathematics and Advanced Applications , pp. 743-751
    • Abdulle, A.1
  • 29
    • 67349105017 scopus 로고    scopus 로고
    • On the heterogeneous multiscale method with various macroscopic solvers
    • 10.1016/j.na.2009.01.229 0362-546X
    • Chen Z X 2009 On the heterogeneous multiscale method with various macroscopic solvers Nonlinear Anal-Theor. 71 3267-82
    • (2009) Nonlinear Anal-Theor. , vol.71 , Issue.7-8 , pp. 3267-3282
    • Chen, Z.X.1
  • 30
    • 0000828256 scopus 로고
    • Generalized finite element methods: Their performance and their relation to mixed methods
    • 10.1137/0720034 0036-1429
    • Babuska I and Osborn E 1983 Generalized finite element methods: their performance and their relation to mixed methods SIAM J. Numer. Anal. 20 510-36
    • (1983) SIAM J. Numer. Anal. , vol.20 , Issue.3 , pp. 510-536
    • Babuska, I.1    Osborn, E.2
  • 31
    • 0033904722 scopus 로고    scopus 로고
    • Generalized finite element method: An example of its implementation and illustration of its performance
    • DOI 10.1002/(SICI)1097-0207(20000320)47:8<1401::AID-NME835>3.0. CO;2-8
    • Strouboulis T, Babuska I and Copps K 2000 The generalized finite element method: an example of its implementation and illustration of its performance Int. J. Numer. Meth. Eng. 47 1401-17 (Pubitemid 30577802)
    • (2000) International Journal for Numerical Methods in Engineering , vol.47 , Issue.8 , pp. 1401-1417
    • Strouboulis, T.1    Copps, K.2    Babuka, I.3
  • 32
    • 44549085392 scopus 로고    scopus 로고
    • Generalized finite element method for second order elliptic operators with Dirichlet boundary conditions
    • 10.1016/j.cam.2007.04.041 0377-0427
    • Babuska I, Nistor V and Tarfulea N 2008 Generalized finite element method for second order elliptic operators with Dirichlet boundary conditions J. Comput. Appl. Math. 218 175-83
    • (2008) J. Comput. Appl. Math. , vol.218 , Issue.1 , pp. 175-183
    • Babuska, I.1    Nistor, V.2    Tarfulea, N.3
  • 33
    • 0031161210 scopus 로고    scopus 로고
    • A multiscale finite element method for elliptic problems in composite materials and porous media
    • DOI 10.1006/jcph.1997.5682, PII S0021999197956825
    • Hou T Y and Wu X H 1997 A multiscale finite element method for elliptic problems in composite materials and porous media J. Comput. Phys. 134 169-89 (Pubitemid 127175548)
    • (1997) Journal of Computational Physics , vol.134 , Issue.1 , pp. 169-189
    • Hou, T.Y.1    Wu, X.-H.2
  • 34
    • 0039982148 scopus 로고    scopus 로고
    • Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
    • 10.1090/S0025-5718-99-01077-7 0025-5718
    • Hou T Y, Wu X H and Cai Z Q 1999 Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients Math. Comput. 68 913-43
    • (1999) Math. Comput. , vol.68 , Issue.227 , pp. 913-943
    • Hou, T.Y.1    Wu, X.H.2    Cai, Z.Q.3
  • 35
    • 49049087504 scopus 로고    scopus 로고
    • Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification
    • 10.1016/j.cma.2008.02.030 0045-7825
    • Dostert P, Efendiev Y and Hou T Y 2008 Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification Comput. Meth. Appl. Mech. Eng. 197 3445-55
    • (2008) Comput. Meth. Appl. Mech. Eng. , vol.197 , Issue.43-44 , pp. 3445-3455
    • Dostert, P.1    Efendiev, Y.2    Hou, T.Y.3
  • 36
    • 28044471570 scopus 로고    scopus 로고
    • On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites
    • DOI 10.1016/j.ijsolstr.2005.03.055, PII S0020768305001460
    • Xia Z H, Zhou C W, Yong Q L and Wang X W 2006 On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites Int. J. Solids Struct. 43 266-78 (Pubitemid 41691417)
    • (2006) International Journal of Solids and Structures , vol.43 , Issue.2 , pp. 266-278
    • Xia, Z.1    Zhou, C.2    Yong, Q.3    Wang, X.4
  • 39
    • 33846313966 scopus 로고    scopus 로고
    • Thermo-mechanical analysis of periodic multiphase materials by a multiscale asymptotic homogenization approach
    • DOI 10.1002/nme.1757
    • Zhang H W, Zhang S, Bi J Y and Schrefler B A 2007 Thermo-mechanical analysis of periodic multiphase materials by a multiscale asymptotic homogenization approach Int. J. Numer. Methods Eng. 69 87-113 (Pubitemid 46117070)
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , Issue.1 , pp. 87-113
    • Zhang, H.W.1    Zhang, S.2    Bi, J.Y.3    Schrefler, B.A.4
  • 40
    • 69249213936 scopus 로고    scopus 로고
    • Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients
    • 10.1016/j.apnum.2009.07.008 0168-9274
    • Dong Q L and Cao L Q 2009 Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients Appl. Numer. Math. 59 3008-32
    • (2009) Appl. Numer. Math. , vol.59 , Issue.12 , pp. 3008-3032
    • Dong, Q.L.1    Cao, L.Q.2
  • 41
    • 79957495763 scopus 로고    scopus 로고
    • Two-scale model for mechanical analysis of nastic materials and structures
    • 10.1177/1045389X11402705 1045-389X
    • Zhang H W and Lv J 2011 Two-scale model for mechanical analysis of nastic materials and structures J. Intell. Mater. Syst. Struct. 22 593-609
    • (2011) J. Intell. Mater. Syst. Struct. , vol.22 , Issue.6 , pp. 593-609
    • Zhang, H.W.1    Lv, J.2
  • 42
    • 63549108057 scopus 로고    scopus 로고
    • Coupling multiscale finite element method for consolidation analysis of heterogeneous saturated porous media
    • 10.1016/j.advwatres.2008.11.002 0309-1708
    • Zhang H W, Fu Z D and Wu J K 2009 Coupling multiscale finite element method for consolidation analysis of heterogeneous saturated porous media Adv. Water Resour. 32 268-79
    • (2009) Adv. Water Resour. , vol.32 , Issue.2 , pp. 268-279
    • Zhang, H.W.1    Fu, Z.D.2    Wu, J.K.3
  • 43
    • 77951767590 scopus 로고    scopus 로고
    • Extended multiscale finite element method for elasto-plastic analysis of 2D periodic lattice truss materials
    • 10.1007/s00466-010-0475-3 0178-7675
    • Zhang H W, Wu J K and Fu Z D 2010 Extended multiscale finite element method for elasto-plastic analysis of 2D periodic lattice truss materials Comput. Mech. 45 623-35
    • (2010) Comput. Mech. , vol.45 , Issue.6 , pp. 623-635
    • Zhang, H.W.1    Wu, J.K.2    Fu, Z.D.3
  • 44
    • 79951726029 scopus 로고    scopus 로고
    • Extended multiscale finite element method for mechanical analysis of heterogeneous materials
    • 10.1007/s10409-010-0393-9 0567-7718
    • Zhang H W, Wu J K, Lv J and Fu Z D 2010 Extended multiscale finite element method for mechanical analysis of heterogeneous materials Acta Mech. Sin. 26 899-920
    • (2010) Acta Mech. Sin. , vol.26 , Issue.6 , pp. 899-920
    • Zhang, H.W.1    Wu, J.K.2    Lv, J.3    Fu, Z.D.4
  • 45
    • 79851470430 scopus 로고    scopus 로고
    • A new multiscale computational method for mechanical analysis of closed liquid cell materials
    • 1083-3455
    • Zhang H W, Lv J and Zheng Y G 2010 A new multiscale computational method for mechanical analysis of closed liquid cell materials Comput. Model. Simul. Eng. 68 55-93
    • (2010) Comput. Model. Simul. Eng. , vol.68 , pp. 55-93
    • Zhang, H.W.1    Lv, J.2    Zheng, Y.G.3
  • 46
    • 0033639940 scopus 로고    scopus 로고
    • Simulation of the multi-scale convergence in computational homogenization approaches
    • 10.1016/S0020-7683(98)00341-2 0020-7683
    • Terada K, Hori M, Kyoya T and Kikuchi N 2010 Simulation of the multi-scale convergence in computational homogenization approaches Int. J. Solids Struct. 37 2285-311
    • (2010) Int. J. Solids Struct. , vol.37 , Issue.16 , pp. 2285-2311
    • Terada, K.1    Hori, M.2    Kyoya, T.3    Kikuchi, N.4
  • 47
    • 0031556934 scopus 로고    scopus 로고
    • Chaos in weakly-coupled pacemaker cells
    • DOI 10.1006/jtbi.1996.0240
    • Endresen L P 1997 Chaos in weakly-coupled pacemaker cells J. Theor. Biol. 184 41-50 (Pubitemid 27056785)
    • (1997) Journal of Theoretical Biology , vol.184 , Issue.1 , pp. 41-50
    • Endresen, L.P.1
  • 48
    • 0033830692 scopus 로고    scopus 로고
    • A theory for the membrane potential of living cells
    • 10.1007/s002490050254 0175-7571
    • Endresen L P, Hall K, Hoye J S and Myrheim J 2000 A theory for the membrane potential of living cells Eur. Biophys. J. 29 90-103
    • (2000) Eur. Biophys. J. , vol.29 , Issue.2 , pp. 90-103
    • Endresen, L.P.1    Hall, K.2    Hoye, J.S.3    Myrheim, J.4
  • 49
    • 76949115555 scopus 로고
    • Measurement of current-voltage relations in the membrane of the giant axon of loligo
    • Hodgkin A L, Huxley A F and Katz B 1952 Measurement of current-voltage relations in the membrane of the giant axon of loligo J. Physiol. 116 424-48
    • (1952) J. Physiol. , vol.116 , pp. 424-448
    • Hodgkin, A.L.1    Huxley, A.F.2    Katz, B.3


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