Space-time multiscale model for wave propagation in heterogeneous media

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 45-47, 2004, Pages 4837-4856

  Fish, Jacob ^a   Chen, Wen ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Heterogeneous medium; Multiple scales; Pade approximation; Space time homogenization; Wave propagation

Indexed keywords

BOUNDARY CONDITIONS; CONSTRAINT THEORY; FINITE ELEMENT METHOD; STABILITY;

ASYMPTOTIC EXPANSIONS; HOMOGENIZATION THEORY; MATHEMATICAL CONSISTENCY; MULTIPLE SPATIAL SCALES;

WAVE PROPAGATION;

HETEROGENEOUS MEDIUM; WAVE PROPAGATION;

EID: 6444225916     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.05.006     Document Type: Article

References (17)

1. M.E. Botkin, Crash prediction of composite structures, Private communications, May, 2003
2. Fish J. Chen W. Higher order homogenization of initial boundary value problem J. Engrg. Mech. 127 12 2001 1223-1230
3. Chen W. Fish J. A dispersive model for wave propagation in periodic heterogeneous media based on homogenization with multiple spatial and temporal scales J. Appl. Mech., Trans. ASME 68 2001 153-161
4. Fish J. Chen W. Nagai G. Nonlocal dispersive model for wave propagation in heterogeneous media: one dimensional case Int. J. Numer. Methods Engrg. 54 2000 331-346
5. Fish J. Chen W. Nagai G. Nonlocal dispersive model for wave propagation in heterogeneous media: multidimensional case Int. J. Numer. Methods Engrg. 54 2000 347-363
6. Nagai G. Fish J. Watanabe K. Stabilized nonlocal model for wave propagation in heterogeneous media Comput. Mech. 33 2004 144-153
7. Fleck N.A. Hutchinson J.W. Strain gradient plasticity Adv. Appl. Mech. 33 1997 295-361
8. Fish J. Nayak P. Holmes M.H. Microscale reduction error indicators and estimators for a periodic heterogeneous medium Comput. Mech. 14 1994 323-338
9. Fish J. Wagiman A. Multiscale finite element method for a locally nonperiodic heterogeneous medium Comput. Mech. 12 1993 164-180
10. G. Nagai, J. Fish, K. Watanabe, Stabilized nonlocal model for dispersive wave propagation in heterogeneous media, in: H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner (Eds.), Proceedings of the Fifth World Congress on Computational Mechanics, Vienna, Austria, July 7-12, 2002
11. Boutin C. Microstructural effects in elastic composites Int. J. Solids Struct. 33 7 1996 1023-1051
12. Ruge P. Restricted Pade scheme in computational structural dynamics Comput. Struct. 79 2001 1913-1921
13. Donea J. Roig B. Huerta A. High order accurate timestepping schemes for convection diffusion problems Comput. Methods Appl. Mech. Engrg. 182 2000 249-275
14. Hughes T.J.R. The Finite Element Method, Linear Static and Dynamic Finite Element Analysis 1987 Prentice-Hall Englewood Cliffs, NJ
15. Trujillo D.M. The direct numerical integration of linear matrix differential equations using Pade approximations Int. J. Numer. Methods Engrg. 9 1975 259-270
16. Hallquist JO., LSDYNA Theoretical Manual, Livermore Software Technology Corporation, May 2001
17. Engel G. Garikipati K. Hughes T.J.R. Larson M.G. Mazzei L. Taylor R.L. Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity Comput. Methods Appl. Mech. Engrg. 191 2002 3669-3750