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Volumn 67, Issue 2, 2006, Pages 253-271

A generalized space-time mathematical homogenization theory for bridging atomistic and continuum scales

Author keywords

Discrete to continuum scale bridging; Mathematical homogenization; Molecular dynamics

Indexed keywords

ATOMS; CONTINUUM MECHANICS; EQUATIONS OF MOTION; FINITE DIFFERENCE METHOD; MOLECULES; TENSORS;

EID: 33745929638     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1630     Document Type: Article
Times cited : (55)

References (33)
  • 5
    • 0034339381 scopus 로고    scopus 로고
    • Concurrent coupling of length scales in solid state systems
    • Rudd RE, Broughton JQ. Concurrent coupling of length scales in solid state systems. Physica Status Solidi B 2000; 217(1):251-291.
    • (2000) Physica Status Solidi B , vol.217 , Issue.1 , pp. 251-291
    • Rudd, R.E.1    Broughton, J.Q.2
  • 6
    • 17244374413 scopus 로고    scopus 로고
    • Concurrent coupling of length scales: Methodology and application
    • Broughton JQ, Abraham FF, Bernstein N, Kaxiras E. Concurrent coupling of length scales: methodology and application. Physical Review B 1999; 60(4):2391-2403.
    • (1999) Physical Review B , vol.60 , Issue.4 , pp. 2391-2403
    • Broughton, J.Q.1    Abraham, F.F.2    Bernstein, N.3    Kaxiras, E.4
  • 7
    • 0001259264 scopus 로고    scopus 로고
    • Coarse-grain molecular dynamics and the atomic limit of finite elements
    • Rudd RE, Broughton JQ. Coarse-grain molecular dynamics and the atomic limit of finite elements. Physical Review B 1998; 58:5893-5896.
    • (1998) Physical Review B , vol.58 , pp. 5893-5896
    • Rudd, R.E.1    Broughton, J.Q.2
  • 9
    • 0042858270 scopus 로고    scopus 로고
    • Coupling of atomic and continuum simulations using a bridging scale decomposition
    • Wagner GJ, Liu WK. Coupling of atomic and continuum simulations using a bridging scale decomposition. Journal of Computational Physics 2003; 190:249-274.
    • (2003) Journal of Computational Physics , vol.190 , pp. 249-274
    • Wagner, G.J.1    Liu, W.K.2
  • 10
    • 14844306369 scopus 로고    scopus 로고
    • Composite grid atomistic continuum method: An adaptive approach to bridge continuum with atomistic analysis
    • Datta DK, Picu C, Shephard M. Composite grid atomistic continuum method: an adaptive approach to bridge continuum with atomistic analysis. International Journal for Multiscale Computational Engineering 2004; 2(3):71-89.
    • (2004) International Journal for Multiscale Computational Engineering , vol.2 , Issue.3 , pp. 71-89
    • Datta, D.K.1    Picu, C.2    Shephard, M.3
  • 17
  • 18
    • 6444225916 scopus 로고    scopus 로고
    • Space-time multiscale model for wave propagation in heterogeneous media
    • Fish J, Chen W. Space-time multiscale model for wave propagation in heterogeneous media. Computer Methods in Applied Mechanics and Engineering 2004; 193:4837-4856.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , pp. 4837-4856
    • Fish, J.1    Chen, W.2
  • 19
    • 0001785138 scopus 로고
    • Theory of composite materials
    • Wend FW, Liebowitz H, Perone N (eds). Pergamon: Oxford
    • Hashin Z. Theory of composite materials. In Mechanics of Composite Materials, Wend FW, Liebowitz H, Perone N (eds). Pergamon: Oxford, 1970.
    • (1970) Mechanics of Composite Materials
    • Hashin, Z.1
  • 21
    • 0001060370 scopus 로고    scopus 로고
    • Mixed finite element and atomistic formulation for complex crystals
    • Tadmor EB, Smith GS, Bernstein N, Kaxiras E. Mixed finite element and atomistic formulation for complex crystals. Physical Review B 1999; 59(1):235-245.
    • (1999) Physical Review B , vol.59 , Issue.1 , pp. 235-245
    • Tadmor, E.B.1    Smith, G.S.2    Bernstein, N.3    Kaxiras, E.4
  • 22
    • 2542539083 scopus 로고    scopus 로고
    • Computational method for atomistic homogenization of nanopatterned point defect structures
    • Chung PW. Computational method for atomistic homogenization of nanopatterned point defect structures. International Journal for Numerical Methods in Engineering 2004; 60:833-859.
    • (2004) International Journal for Numerical Methods in Engineering , vol.60 , pp. 833-859
    • Chung, P.W.1
  • 26
    • 12444335065 scopus 로고    scopus 로고
    • Uniformly valid multiple spatial-temporal scale modeling for wave propagation in heterogeneous media
    • Fish J, Chen W. Uniformly valid multiple spatial-temporal scale modeling for wave propagation in heterogeneous media. Mechanics of Composite Materials and Structures 2001; 8:81-99.
    • (2001) Mechanics of Composite Materials and Structures , vol.8 , pp. 81-99
    • Fish, J.1    Chen, W.2
  • 29
    • 0035919604 scopus 로고    scopus 로고
    • A class of general algorithms for nonlinear multi-scale analyses of heterogeneous media
    • Terada K, Kikuchi N. A class of general algorithms for nonlinear multi-scale analyses of heterogeneous media. Computer Methods in Applied Mechanics and Engineering 2001; 190(40-41):5427-5464.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.40-41 , pp. 5427-5464
    • Terada, K.1    Kikuchi, N.2
  • 30
    • 0032675543 scopus 로고    scopus 로고
    • Finite deformation plasticity of composite structures: Computational models and adaptive strategies
    • Fish J, Shek KL. Finite deformation plasticity of composite structures: computational models and adaptive strategies. Computer Methods in Applied Mechanics and Engineering 1999; 172:145-174.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.172 , pp. 145-174
    • Fish, J.1    Shek, K.L.2
  • 31
    • 0028443771 scopus 로고
    • Implementation of the transformation field analysis for inelastic composite materials
    • Dvorak GJ, Bahei-El-Din YA, Wafa AM. Implementation of the transformation field analysis for inelastic composite materials. Computational Mechanics 1994; 14:201-228.
    • (1994) Computational Mechanics , vol.14 , pp. 201-228
    • Dvorak, G.J.1    Bahei-El-Din, Y.A.2    Wafa, A.M.3
  • 32
    • 0029273995 scopus 로고
    • Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method
    • Ghosh S, Moorthy S. Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method. Computer Methods in Applied Mechanics and Engineering 1995; 121:121-148.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.121 , pp. 121-148
    • Ghosh, S.1    Moorthy, S.2
  • 33
    • 0042829718 scopus 로고    scopus 로고
    • A computational method based on augmented Lagrangians and fast Fourier transforms for composites with high contrast
    • Michel J, Moulinec H, Suquet P. A computational method based on augmented Lagrangians and fast Fourier transforms for composites with high contrast. Computer Modeling in Engineering and Sciences 2000; 1(2):79-88.
    • (2000) Computer Modeling in Engineering and Sciences , vol.1 , Issue.2 , pp. 79-88
    • Michel, J.1    Moulinec, H.2    Suquet, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.