In the present study, SH wave propagating in a visco-elastic fiber-reinforced layer resting over a porous half-space is investigated. With the aid of variable separable method, the displacement components have been obtained. Both the media are under the impact of distinct initial stresses. The displacement components thus obtained along with some boundary constraints offer ascent to a dispersion equation in determinant form. Some suitable cases are also explained in detail. The significant effect of viscosity, porosity, initial stresses and fiber-reinforcement has been examined and demonstrated graphically.

Topics
Wave propagation
1.
Love
,
A. E. H.
,
A Treatise on the Mathematical Theory of Elasticity
(
Cambridge University Press
,
2013
).
Google Scholar
 
2.
Ewing
,
W. M.
,
Jardetzky
,
W. S.
,
Press
,
F.
, &
Beiser
,
A.
,
Physics Today
 
10
,
27
(
1957
).
https://doi.org/10.1063/1.3060203
Crossref
Search ADS
 
3.
Kundu
,
S.
,
Kumari
,
A.
,
Gupta
,
S.
, &
Pandit
,
D. K.
,
Waves Random Complex Medium
 
26
,
485
–
515
(
2016
).
https://doi.org/10.1080/17455030.2016.1168951
Crossref
Search ADS
 
4.
Spencer
,
A. J. M.
,
Deformations of fibre-reinforced materials
(
Clarendon Press
,
1972
).
Google Scholar
 
5.
Nguyen
,
T. D.
,
Jones
,
R. E.
, &
Boyce
,
B. L.
,
Int. J. Solids Struct.
,
44
,
8366
–
8389
(
2007
).
https://doi.org/10.1016/j.ijsolstr.2007.06.020
Crossref
Search ADS
 
6.
HajAli
,
R. M.
, &
Muliana
,
A. H.
,
Int. J. Numer. Methods Eng.
 
59
,
25
–
45
(
2004
).
https://doi.org/10.1002/nme.861
Crossref
Search ADS
 
7.
Yu
,
J. G.
,
Ratolojanahary
,
F. E.
, &
Lefebvre
,
J. E.
,
Compos. Struct.
,
93
,
2671
–
2677
(
2011
).
https://doi.org/10.1016/j.compstruct.2011.06.009
Crossref
Search ADS
 
8.
Yu
,
J.
, &
Zhang
,
C.
,
Appl. Math. Modell.
 
38
,
464
–
478
(
2014
).
https://doi.org/10.1016/j.apm.2013.06.029
Crossref
Search ADS
 
9.
Pandit
,
D. K.
,
Kundu
,
S.
, &
Gupta
,
S.
,
Acta Mechanica
 
228
,
871
–
880
(
2017
).
https://doi.org/10.1007/s00707-016-1741-z
Crossref
Search ADS
 
10.
Maity
,
M.
,
Kundu
,
S.
,
Kr.
 
Pandit
, D., &
Gupta
,
S.
,
Int. J. Geomech.
 
18
,
06018015
, (
2018
).
https://doi.org/10.1061/(ASCE)GM.1943-5622.0001207
Crossref
Search ADS
 
11.
Biot
,
M. A.
,
J. Appl. Phys.
 
27
,
459
–
467
(
1956
)..
https://doi.org/10.1063/1.1722402
Crossref
Search ADS
 
12.
Deresiewicz
,
H.
,
Bull. Seismol. Soc. Am.
 
50
,
599
–
607
(
1960
).
Crossref
Search ADS
 
13.
Kundu
,
S.
,
Manna
,
S.
, &
Gupta
,
S.
,
Int. J. Solids Struct.
 
51
,
3689
–
3697
(
2014
).
https://doi.org/10.1016/j.ijsolstr.2014.07.002
Crossref
Search ADS
 
14.
Belfield
,
A. J.
,
Rogers
,
T. G.
, &
Spencer
,
A. J. M.
,
J. Mech. Phys. Solids
,
31
,
25
–
54
(
1983
)..
https://doi.org/10.1016/0022-5096(83)90018-2
Crossref
Search ADS
 
15.
Biot
,
M. A.
,
J. Appl. Phys.
 
27
,
459
–
467
(
1956
).
https://doi.org/10.1063/1.1722402
Crossref
Search ADS
 
16.
Chattopadhyay
,
A.
, &
Choudhury
,
S.
 
Propagation
,
Int. J. Eng. Sci.
 
28
,
485
–
495
(
1990
).
https://doi.org/10.1016/0020-7225(90)90051-J
Crossref
Search ADS
 
17.
Chattaraj
,
R.
, &
Samal
,
S. K.
,
Acta Geophysica
 
61
,
1170
–
1183
(
2013
).
https://doi.org/10.2478/s11600-012-0100-2
Crossref
Search ADS
 
18.
Chattaraj
,
R.
,
Samal
,
S. K.
, &
Mahanti
,
N. C.
,
Int. J. Geomech.
 
13
,
402
–
408
(
2012
).
https://doi.org/10.1061/(ASCE)GM.1943-5622.0000230
Crossref
Search ADS
 
19.
Vaishnav
,
P. K.
,
Kundu
,
S.
,
Gupta
,
S.
, &
Saha
,
A.
,
Math. Prob. Eng.
,
2016
.
20.
Ewing
,
W. M.
,
Jardetzky
,
W. S.
,
Press
,
F.
, &
Beiser
,
A.
,
Physics Today
 
10
,
27
(
1957
).
https://doi.org/10.1063/1.3060203
Crossref
Search ADS
 
This content is only available via PDF.
© 2019 Author(s).
2019
Author(s)
You do not currently have access to this content.