-
1
-
-
40749128950
-
Higher order asymptotic homogenization and wave propagation in periodic composite materials
-
DOI 10.1098/rspa.2007.0267, PII T6P120510N724062
-
Andrianov, I. V., Bolshakov, V. I., Danishevs'kyy, V. V. & Weichert, D. 2008 Higher order asymptotic homogenization and wave propagation in periodic composite materials. Proc. R. Soc. A 464, 1181-1201. (doi:10.1098/rspa.2007. 0267) (Pubitemid 351390754)
-
(2008)
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
, vol.464
, Issue.2093
, pp. 1181-1201
-
-
Andrianov, I.V.1
Bolshakov, V.I.2
Danishevs'kyy, V.V.3
Weichert, D.4
-
2
-
-
3142568133
-
Elastic constants of composite materials
-
(doi:10.1121/1.1911342)
-
Behrens, E. 1968 Elastic constants of composite materials. J. Acoust. Soc. Am. 45, 102-108. (doi:10.1121/1.1911342)
-
(1968)
J. Acoust. Soc. Am.
, vol.45
, pp. 102-108
-
-
Behrens, E.1
-
3
-
-
58149396539
-
The Magnus expansion and some of its applications
-
(doi:10.1016/j.physrep.2008.11.001)
-
Blanes, S., Casas, F., Oteo, J. A. & Ros, J. 2009 The Magnus expansion and some of its applications. Phys. Rep. 470, 151-238. (doi:10.1016/j.physrep.2008.11.001)
-
(2009)
Phys. Rep.
, vol.470
, pp. 151-238
-
-
Blanes, S.1
Casas, F.2
Oteo, J.A.3
Ros, J.4
-
4
-
-
0000402329
-
Effective elastic constants of superlattices of any symmetry
-
(doi:10.1103/PhysRevB.33.5891)
-
Grimsditch, M. & Nizzoli, F. 1986 Effective elastic constants of superlattices of any symmetry. Phys. Rev. B 33, 5891-5892. (doi:10.1103/ PhysRevB.33.5891)
-
(1986)
Phys. Rev. B
, vol.33
, pp. 5891-5892
-
-
Grimsditch, M.1
Nizzoli, F.2
-
5
-
-
35348914187
-
On modifications of Newton's second law and linear continuum elastodynamics
-
(doi:10.1098/rspa.2006.1795)
-
Milton, G. W. & Willis, J. R. 2007 On modifications of Newton's second law and linear continuum elastodynamics. Proc. R. Soc. A 463, 855-880. (doi:10.1098/rspa.2006.1795)
-
(2007)
Proc. R. Soc. A
, vol.463
, pp. 855-880
-
-
Milton, G.W.1
Willis, J.R.2
-
6
-
-
45849094448
-
Convergence of the Magnus series
-
(doi:10.1007/s10208-007-9010-0)
-
Moan, P. C. & Niesen, J. 2008 Convergence of the Magnus series. Found. Comp. Math. 8, 291-301. (doi:10.1007/s10208-007-9010-0)
-
(2008)
Found. Comp. Math.
, vol.8
, pp. 291-301
-
-
Moan, P.C.1
Niesen, J.2
-
7
-
-
0038123287
-
Dispersive plane wave propagation in periodically layered anisotropic media
-
Norris, A. N. 1992 Dispersive plane wave propagation in periodically layered anisotropic media. Proc. R. Irish Acad. 92A, 49-67.
-
(1992)
Proc. R. Irish Acad.
, vol.92 A
, pp. 49-67
-
-
Norris, A.N.1
-
8
-
-
0042680052
-
Waves in periodically layered media: A comparison of two theories
-
(doi:10.1137/0153058)
-
Norris, A. N. 1993 Waves in periodically layered media: A comparison of two theories. SIAM J. Appl. Math. 53, 1195-1209. (doi:10.1137/0153058)
-
(1993)
SIAM J. Appl. Math.
, vol.53
, pp. 1195-1209
-
-
Norris, A.N.1
-
9
-
-
44049116919
-
Shear wave propagation in a periodically layered medium: An asymptotic theory
-
(doi:10.1016/0165-2125(92)90045-4)
-
Norris, A. N. & Santosa, F. 1992 Shear wave propagation in a periodically layered medium: An asymptotic theory. Wave Motion 16, 35-55. (doi:10.1016/0165-2125(92)90045-4)
-
(1992)
Wave Motion
, vol.16
, pp. 35-55
-
-
Norris, A.N.1
Santosa, F.2
-
11
-
-
0000661768
-
Acoustical activity and other first-order spatial dispersion effects in crystals
-
(doi:10.1103/PhysRev.170.673)
-
Portigal, D. L. & Burstein, E. 1968 Acoustical activity and other first-order spatial dispersion effects in crystals. Phys. Rev. 170, 673-678. (doi:10.1103/PhysRev.170.673)
-
(1968)
Phys. Rev.
, vol.170
, pp. 673-678
-
-
Portigal, D.L.1
Burstein, E.2
-
12
-
-
0029028573
-
Floquet waves and classical plane waves in an anisotropic periodically multilayered medium: Application to the validity domain of homogenization
-
(doi:10.1121/1.411849)
-
Potel, C., de Belleval, J.-F. & Gargouri, Y. 1995 Floquet waves and classical plane waves in an anisotropic periodically multilayered medium: Application to the validity domain of homogenization. J. Acoust. Soc. Am. 97, 2815-2825. (doi:10.1121/1.411849)
-
(1995)
J. Acoust. Soc. Am.
, vol.97
, pp. 2815-2825
-
-
Potel, C.1
De Belleval, J.-F.2
Gargouri, Y.3
-
13
-
-
77953230654
-
Divergence of the logarithm of a unimodular monodromy matrix near the edges of the Brillouin zone
-
(doi:10.1016/ j.wavemoti. 2009. 12.005)
-
Shuvalov, A. L., Kutsenko, A. A. & Norris, A. N. 2010 Divergence of the logarithm of a unimodular monodromy matrix near the edges of the Brillouin zone. Wave Motion 47, 370-382. (doi:10.1016/ j.wavemoti.2009.12.005)
-
(2010)
Wave Motion
, vol.47
, pp. 370-382
-
-
Shuvalov, A.L.1
Kutsenko, A.A.2
Norris, A.N.3
-
15
-
-
0036301101
-
Floquet wave homogenization of periodic anisotropic media
-
DOI 10.1121/1.1488942
-
Wang, L. & Rokhlin, S. I. 2002 Floquet wave homogenization of periodic anisotropic media. J. Acoust. Soc. Am. 112, 38-45. (doi:10.1121/1. 1488942) (Pubitemid 34747736)
-
(2002)
Journal of the Acoustical Society of America
, vol.112
, Issue.1
, pp. 38-45
-
-
Wang, L.1
Rokhlin, S.I.2
-
16
-
-
4544337397
-
Recursive geometric integrators for wave propagation in a functionally graded multilayered elastic medium
-
(doi:10.1016/j.jmps.2004.05.001)
-
Wang, L. & Rokhlin, S. I. 2004 Recursive geometric integrators for wave propagation in a functionally graded multilayered elastic medium. J. Mech. Phys. Solids 52, 2473-2506. (doi:10.1016/j.jmps.2004.05.001)
-
(2004)
J. Mech. Phys. Solids
, vol.52
, pp. 2473-2506
-
-
Wang, L.1
Rokhlin, S.I.2
-
17
-
-
62649103708
-
Exact effective relations for dynamics of a laminated body
-
(doi:10.1016/j.mechmat.2009.01.010)
-
Willis, J. R. 2009 Exact effective relations for dynamics of a laminated body. Mech. Mater. 41, 385-393. (doi:10.1016/j.mechmat.2009.01.010)
-
(2009)
Mech. Mater.
, vol.41
, pp. 385-393
-
-
Willis, J.R.1
|