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Volumn 9780199233854, Issue , 2009, Pages

On Multiscale Computational Mechanics with Time-Space Homogenization

Author keywords

Domain decomposition; Homogenization; LATIN; Multiscale in time and space; Parallel computing; Proper orthogonal decomposition

Indexed keywords

DOMAIN DECOMPOSITION METHODS; HOMOGENIZATION METHOD; PARALLEL PROCESSING SYSTEMS; PRINCIPAL COMPONENT ANALYSIS;

EID: 84919698766     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1093/acprof:oso/9780199233854.003.0009     Document Type: Chapter
Times cited : (12)

References (60)
  • 5
    • 0016048255 scopus 로고
    • Comportement local et macroscopique d'un type de milieux physiques hétérogénes
    • Sanchez-Palencia E. (1974). "Comportement local et macroscopique d'un type de milieux physiques hétérogénes", International Journal for Engineering Science, 12, p. 231-251.
    • (1974) International Journal for Engineering Science , vol.12 , pp. 231-251
    • Sanchez-Palencia, E.1
  • 7
    • 0043127126 scopus 로고    scopus 로고
    • A multilevel finite element method (FE2) to describe the response of highly nonlinear structures, using generalized continua
    • Feyel F. (2003). "A multilevel finite element method (FE2) to describe the response of highly nonlinear structures, using generalized continua", Computer Methods in Applied Mechanics and Engineering, 192, p. 3233-3244.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 3233-3244
    • Feyel, F.1
  • 11
    • 0031211346 scopus 로고    scopus 로고
    • Computational plasticity for composite structures based on mathematical homogenization: Theory and practice
    • Fish J., Shek K., Pandheeradi M., and S. Shephard M. (1997). "Computational plasticity for composite structures based on mathematical homogenization: Theory and practice", Computer Methods in Applied Mechanics and Engineering, 148(1-2), p. 53-73.
    • (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, S.M.4
  • 12
    • 0011762880 scopus 로고    scopus 로고
    • Modelling of nonstationary heat conduction problems in micro-periodic composites using homogenisation theory with corrective terms
    • Lefik M. and Schrefler B. (2000). "Modelling of nonstationary heat conduction problems in micro-periodic composites using homogenisation theory with corrective terms", Archives of Mechanics, 52(2), p. 203-223.
    • (2000) Archives of Mechanics , vol.52 , Issue.2 , pp. 203-223
    • Lefik, M.1    Schrefler, B.2
  • 13
    • 0000926336 scopus 로고
    • Application of variational concepts to size effects in elastic heterogeneous bodies
    • Huet C. (1990). "Application of variational concepts to size effects in elastic heterogeneous bodies", Journal of the Mechanics and Physics of Solids, 38(6), p. 813-841.
    • (1990) Journal of the Mechanics and Physics of Solids , vol.38 , Issue.6 , pp. 813-841
    • Huet, C.1
  • 14
    • 0037143110 scopus 로고    scopus 로고
    • Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme
    • Kouznetsova V., Geers M., and Brekelmans W. (2002). "Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme", International Journal for Numerical Methods in Engineering, 54, p. 1235-1260.
    • (2002) International Journal for Numerical Methods in Engineering , vol.54 , pp. 1235-1260
    • Kouznetsova, V.1    Geers, M.2    Brekelmans, W.3
  • 16
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's function, the dirichlet-to-neumann formulation, subgrid scale models, bubbles and the origin of stabilized methods
    • Hughes T. (1995). "Multiscale phenomena: Green's function, the dirichlet-to-neumann formulation, subgrid scale models, bubbles and the origin of stabilized methods", Computer Methods in Applied Mechanics and Engineering, 127, p. 387-401.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.127 , pp. 387-401
    • Hughes, T.1
  • 18
    • 0037016630 scopus 로고    scopus 로고
    • A numerical scheme to couple subdomains with different time-steps for predominantly linear transient analysis
    • Combescure A. and Gravouil A. (2002). "A numerical scheme to couple subdomains with different time-steps for predominantly linear transient analysis", Computer Methods in Applied Mechanics and Engineering, 191(11-12), p. 1129-1157.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.11-12 , pp. 1129-1157
    • Combescure, A.1    Gravouil, A.2
  • 19
    • 0037474411 scopus 로고    scopus 로고
    • A time and space mortar method for coupling linear model subdomains and non-linear subdomains in explict structural dynamics
    • Faucher V. and Combescure A. (2003). "A time and space mortar method for coupling linear model subdomains and non-linear subdomains in explict structural dynamics", Computer Methods in Applied Mechanics and Engineering, 192, p. 509-533.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 509-533
    • Faucher, V.1    Combescure, A.2
  • 20
    • 0242582454 scopus 로고    scopus 로고
    • Multi-time-step and twoscale domain decomposition method for non-linear structural dynamics
    • Gravouil A. and Combescure A. (2003). "Multi-time-step and twoscale domain decomposition method for non-linear structural dynamics", International Journal for Numerical Methods in Engineering, 58, p. 1545-1569.
    • (2003) International Journal for Numerical Methods in Engineering , vol.58 , pp. 1545-1569
    • Gravouil, A.1    Combescure, A.2
  • 22
    • 0242497930 scopus 로고    scopus 로고
    • Time-decomposed parallel timeintegrators: theory and feasibility studies for fluid, structure, and fluidstructure applications
    • Farhat C. and Chandesris M. (2003). "Time-decomposed parallel timeintegrators: theory and feasibility studies for fluid, structure, and fluidstructure applications", International Journal for Numerical Methods in Engineering, 58, p. 1397-1434.
    • (2003) International Journal for Numerical Methods in Engineering , vol.58 , pp. 1397-1434
    • Farhat, C.1    Chandesris, M.2
  • 23
    • 0022076735 scopus 로고
    • Stability of multi-time step partitioned integrators for first-order finite element systems
    • Belytschko T., Smolinski P., and K. Liu W. (1985). "Stability of multi-time step partitioned integrators for first-order finite element systems", Computer Methods in Applied Mechanics and Engineering, 49(3), p. 281-297.
    • (1985) Computer Methods in Applied Mechanics and Engineering , vol.49 , Issue.3 , pp. 281-297
    • Belytschko, T.1    Smolinski, P.2    Liu, K.W.3
  • 26
    • 0038662511 scopus 로고    scopus 로고
    • A parareal in time procedure for the control of partial differential equations
    • Maday Y. and Turinici G. (2002). "A parareal in time procedure for the control of partial differential equations", Comptes Rendus Académie des Sciences Paris, I(335) (Issue 4) p. 387-392.
    • (2002) Comptes Rendus Académie des Sciences Paris , vol.1 , Issue.4-335 , pp. 387-392
    • Maday, Y.1    Turinici, G.2
  • 27
    • 11844256547 scopus 로고    scopus 로고
    • Determination de la reponse asymptotique d'une structure anelastique sous chargement thermomecanique cycliquedetermination of the asymptotic response of a structure under cyclic thermomechanical loading
    • Maitournam M., Pommier B., and Thomas J.-J. (2002). "Determination de la reponse asymptotique d'une structure anelastique sous chargement thermomecanique cycliquedetermination of the asymptotic response of a structure under cyclic thermomechanical loading", Comptes Rendus Mecanique, 330(10), p. 703-708.
    • (2002) Comptes Rendus Mecanique , vol.330 , Issue.10 , pp. 703-708
    • Maitournam, M.1    Pommier, B.2    Thomas, J.-J.3
  • 28
    • 33646365862 scopus 로고    scopus 로고
    • A direct method for the solution of evolution problems
    • Comte F., Maitournam H., Burry P., and Lan N. T. M. (2006). "A direct method for the solution of evolution problems", Comptes Rendus Mecanique, 334(5), p. 317-322.
    • (2006) Comptes Rendus Mecanique , vol.334 , Issue.5 , pp. 317-322
    • Comte, F.1    Maitournam, H.2    Burry, P.3    Lan, N.T.M.4
  • 29
    • 12444335065 scopus 로고    scopus 로고
    • Uniformly valid multiple spatial-temporal scale modeling for wave propagation in heterogeneous media
    • Fish J. and Chen W. (2001). "Uniformly valid multiple spatial-temporal scale modeling for wave propagation in heterogeneous media", Mechanics of Composite Materials and Structures, 8, p. 81-99.
    • (2001) Mechanics of Composite Materials and Structures , vol.8 , pp. 81-99
    • Fish, J.1    Chen, W.2
  • 30
    • 0036900841 scopus 로고    scopus 로고
    • Multiscale asymptotic homogenization for multiphysics problems with multiple spatial and temporal scales: a coupled thermo-viscoelastic example problem
    • Yu Q. and Fish J. (2002). "Multiscale asymptotic homogenization for multiphysics problems with multiple spatial and temporal scales: a coupled thermo-viscoelastic example problem", International Journal of Solids and Structures, 39, p. 6429-6452.
    • (2002) International Journal of Solids and Structures , vol.39 , pp. 6429-6452
    • Yu, Q.1    Fish, J.2
  • 31
    • 0011758525 scopus 로고
    • On a computational method for cycling loading: the time homogenization
    • french
    • Guennouni T. (1988). "On a computational method for cycling loading: the time homogenization", Mathematical Modelling and Numerical Analysis (in french), 22(3), p. 417-455.
    • (1988) Mathematical Modelling and Numerical Analysis , vol.22 , Issue.3 , pp. 417-455
    • Guennouni, T.1
  • 32
    • 84919595472 scopus 로고
    • Proceedings of 2nd International Conference on Computational Plasticity, Barcelone, Spain
    • Akel S. and Nguyen Q. S. (1989). Determination of the limit response in cyclic plasticity, in: Proceedings of 2nd International Conference on Computational Plasticity, Vol. 639-650, Barcelone, Spain.
    • (1989) Determination of the limit response in cyclic plasticity , pp. 639-650
    • Akel, S.1    Nguyen, Q.S.2
  • 33
    • 4243209503 scopus 로고
    • (Visco) plasticity under cyclic loadings: properties of the homogenized cycle
    • french), II(301)
    • Ladevèze P. and Rougée P. (1985). "(Visco) plasticity under cyclic loadings: properties of the homogenized cycle", Comptes Rendus Académie des Sciences Paris (in french), II(301) (13), p. 891-894.
    • (1985) Comptes Rendus Académie des Sciences Paris , Issue.13 , pp. 891-894
    • Ladevèze, P.1    Rougée, P.2
  • 34
    • 0042519048 scopus 로고
    • New advances in the large time increment method
    • Ladevèze P., Zienkiewicz O. C. (Eds.), Elsevier
    • Ladevèze P. (1991). New advances in the large time increment method, in: Ladevèze P., Zienkiewicz O. C. (Eds.), New advances in computational structural mechanics, Elsevier, p. 3-21.
    • (1991) New advances in computational structural mechanics , pp. 3-21
    • Ladevèze, P.1
  • 36
    • 0041624295 scopus 로고    scopus 로고
    • On a multiscale computational strategy with time and space homogenization for structural mechanics
    • Ladevèze P. and Nouy A. (2003). "On a multiscale computational strategy with time and space homogenization for structural mechanics", Computer Methods in Applied Mechanics and Engineering, 192, p. 3061-3087.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 3061-3087
    • Ladevèze, P.1    Nouy, A.2
  • 38
    • 33751113713 scopus 로고    scopus 로고
    • Multiscale computational strategy with time and space homogenization: a radial-type approximation technique for solving microproblems
    • Nouy A. and Ladevèze P. (2004). "Multiscale computational strategy with time and space homogenization: a radial-type approximation technique for solving microproblems", International Journal for Multiscale Computational Engineering, 2(4), p. 557-574.
    • (2004) International Journal for Multiscale Computational Engineering , vol.2 , Issue.4 , pp. 557-574
    • Nouy, A.1    Ladevèze, P.2
  • 39
    • 0343353852 scopus 로고    scopus 로고
    • A modular approach to 3-D impact computation with frictional contact
    • Boucard P.-A., Ladevèze P., and Lemoussu H. (2000). "A modular approach to 3-D impact computation with frictional contact", Computer and Structures, 78(1-3), p. 45-52.
    • (2000) Computer and Structures , vol.78 , Issue.1-3 , pp. 45-52
    • Boucard, P.-A.1    Ladevèze, P.2    Lemoussu, H.3
  • 43
    • 76549117195 scopus 로고
    • New algorithms: mechanical framework and development
    • (in french), Tech. Rep. LMT-Cachan
    • Ladevèze P. (1985). New algorithms: mechanical framework and development (in french), Tech. Rep. 57, LMT-Cachan.
    • (1985) , pp. 57
    • Ladevèze, P.1
  • 45
    • 33751260933 scopus 로고    scopus 로고
    • A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids
    • Ammar A., Mokdad B., Chinesta F., and Keunings R. (2006). "A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids", Journal of Non-Newtonian Fluid Mechanics, 139(3), p. 153-176.
    • (2006) Journal of Non-Newtonian Fluid Mechanics , vol.139 , Issue.3 , pp. 153-176
    • Ammar, A.1    Mokdad, B.2    Chinesta, F.3    Keunings, R.4
  • 46
    • 34249706773 scopus 로고    scopus 로고
    • A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids: Part ii: Transient simulation using space-time separated representations
    • Ammar A., Mokdad B., Chinesta F., and Keunings R. (2007). "A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids: Part ii: Transient simulation using space-time separated representations", Journal of Non-Newtonian Fluid Mechanics, 144(2-3), p. 98-121.
    • (2007) Journal of Non-Newtonian Fluid Mechanics , vol.144 , Issue.2-3 , pp. 98-121
    • Ammar, A.1    Mokdad, B.2    Chinesta, F.3    Keunings, R.4
  • 47
    • 34548290926 scopus 로고    scopus 로고
    • A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
    • Nouy A. (2007). "A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations", Computer Methods in Applied Mechanics and Engineering, 196(45-48), p. 4521-4537.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.45-48 , pp. 4521-4537
    • Nouy, A.1
  • 48
    • 0011075775 scopus 로고    scopus 로고
    • An introduction to the proper orthogonal decomposition
    • Chatterjee A. (2000). "An introduction to the proper orthogonal decomposition", Current Science, 78(7), p. 808-817.
    • (2000) Current Science , vol.78 , Issue.7 , pp. 808-817
    • Chatterjee, A.1
  • 49
    • 78549278798 scopus 로고    scopus 로고
    • A computational technique for the integrals over the time-space domain in connection with the LATIN method
    • Tech. Rep. LMT-Cachan
    • Ladevèze P. (1997). A computational technique for the integrals over the time-space domain in connection with the LATIN method, Tech. Rep. 193, LMT-Cachan.
    • (1997) , pp. 193
    • Ladevèze, P.1
  • 50
    • 84919610179 scopus 로고    scopus 로고
    • Prediction of damping in space lauch vehicles using a virtual testing strategy
    • Proc. of 6th International Symposium on Launcher Technologies
    • Caignot A., Ladevèze P., Néron D., Le Loch S., Le Gallo V., Ma K., and Romeuf T. (2005). Prediction of damping in space lauch vehicles using a virtual testing strategy, in: Proc. of 6th International Symposium on Launcher Technologies.
    • (2005)
    • Caignot, A.1    Ladevèze, P.2    Néron, D.3    Le Loch, S.4    Le Gallo, V.5    Ma, K.6    Romeuf, T.7
  • 53
    • 0034677856 scopus 로고    scopus 로고
    • FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre sic/ti composite materials
    • Feyel F. and Chaboche J.-L. (2000). "FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre sic/ti composite materials", Computer Methods in Applied Mechanics and Engineering, 183(3-4), p. 309-330.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.183 , Issue.3-4 , pp. 309-330
    • Feyel, F.1    Chaboche, J.-L.2
  • 58
    • 0037140837 scopus 로고    scopus 로고
    • A contact formulation based on localized lagrange multipliers: formulation and application to two dimensional problems
    • Rebel G., Park K., and Felippa C. (2002). "A contact formulation based on localized lagrange multipliers: formulation and application to two dimensional problems", International Journal for Numerical Methods in Engineering, 54, p. 263-297.
    • (2002) International Journal for Numerical Methods in Engineering , vol.54 , pp. 263-297
    • Rebel, G.1    Park, K.2    Felippa, C.3


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