Browse > Article
http://dx.doi.org/10.12989/sss.2019.23.1.031

Influence of surface irregularity on dynamic response induced due to a moving load on functionally graded piezoelectric material substrate  

Singh, Abhishek K. (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines))
Negi, Anil (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines))
Koley, Siddhartha (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines))
Publication Information
Smart Structures and Systems / v.23, no.1, 2019 , pp. 31-44 More about this Journal
Abstract
The present study investigate the compressive stress, shear stress, tensile stress, vertical electrical displacement and horizontal electrical displacement induced due to a load moving with uniform velocity on the free rough surface of an irregular transversely isotropic functionally graded piezoelectric material (FGPM) substrate. The closed form expressions ofsaid induced stresses and electrical displacements for both electrically open condition and electrically short condition have been deduced. The influence of various affecting parameters viz. maximum depth of irregularity, irregularity factor, parameter of functionally gradedness, frictional coefficient of the rough upper surface, piezoelectricity/dielectricity on said induced stresses and electrical displacements have been examined through numerical computation and graphical illustration for both electrically open and short conditions. The comparative analysis on the influence of electrically open and short conditions as well as presence and absence of piezoelectricity on the induced stresses and induced electrical displacements due to a moving load serve as the salient features of the present study. Moreover, some important peculiarities have also been traced out by means of graphs.
Keywords
functionally graded piezoelectric material; moving load; stress; electrical displacement; irregularity;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Chatterjee, M. and Chattopadhyay, A. (2017), "Effect of moving load due to irregularity in ice sheet floating on water", Acta Mechanica, 1-17. doi: 10.1007/s00707-016-1786-z.
2 Chattopadhyay, A., Gupta, S., Sharma, V. K. and Kumari, P. (2011), "Stresses produced on a rough irregular half-space by a moving load", Acta Mechanica, 221(3), 271-280. doi: 10.1007/s00707-011-0507-x.   DOI
3 Chonan, S. (1976), "Moving load on a pre-stressed plate resting on a fluid half-space", Arch. Appl. Mech., 45(3), 171-178. doi:10.1007/BF00539779.
4 Cole, J. and Huth, J. (1958), "Stresses produced in a half plane by moving loads", J. Appl. Mech., 25, 433-436.   DOI
5 De Barros, F.C.P. and Luco J.E. (1994), "Response of a layered viscoelastic half-space to moving point load", Wave Motion, 19(2), 189-210.   DOI
6 Dieterman, H.A. and Metrikine, V. (1997), "Steady-state displacements of a beam on an elastic half-space due to a uniformly moving constant load", Eur. J. Mech.- A/Solids, 16(2), 295-306.
7 Du, J., Jin, X., Wang, J. and Xian, K. (2007), "Love wave propagation in functionally graded piezoelectric material layer", Ultrasonics, 46(1), 13-22.   DOI
8 Fryba, L. (1999), Vibration of solids and structures under moving loads, (Vol. 1), Springer Science & Business Media.
9 Achenbach, J.D., Keshava, S.P. and Herrmann, G, (1967), "Moving load on a plate resting on an elastic half space", J. Appl. Mech., 34(4), 910-914.   DOI
10 Haojiang, D. (1996), "General solutions for coupled equations for piezoelectric media", Int. J. Solids Struct., 33(16), 2283-2298.   DOI
11 Hearle, A.D. and Johnson, K.L. (1985), "Mode II stress intensity factors for a crack parallel to the surface of an elastic half-space subjected to a moving point load", J. Mech. Phys. Solids, 33(1), 61-81.   DOI
12 Mukherjee, S. (1969), "Stresses produced by a load moving over the rough boundary of a semi-infinite transversely isotropic solid", Pure Appl. Geophys., 72(1), 45-50. doi:10.1007/BF00875691.   DOI
13 Kong, L.B., Li, T., Hng, H.H., Boey, F., Zhang, T. and Li, S. (2014), Waste mechanical energy harvesting (I): piezoelectric effect, Waste Energy Harvesting (pp.19-128), Springer Berlin Heidelberg.
14 Li, X.Y., Wang, Z.K. and Huang, S.H. (2004), "Love waves in functionally graded piezoelectric materials", Int. J. Solids Struct., 41(26), 7309-7328.   DOI
15 Meissner, R. (2002), The little book of planet Earth. New York: Springer-Verlag.
16 Mukhopadhyay, A. (1965), "Stresses produced by a normal load moving over a transversely isotropic layer of ice lying on a rigid foundation", Pure Appl. Geophys., 60(1), 29-41. doi:10.1007/BF00874804.   DOI
17 Ogawa, T. and Utada, H. (2000), "Coseismic piezoelectric effects due to a dislocation: 1. An analytic far and early-time field solution in a homogeneous whole space", Phys. Earth Planet. In., 121(3), 273-288.   DOI
18 Beeby, S.P., Tudor, M.J. and White, N.M. (2006), "Energy harvesting vibration sources for microsystems applications", Meas. Sci. Technol., 17 (12), 175-195.   DOI
19 Olsson, M. (1991), "On the fundamental moving load problem", J. Sound Vib., 145(2), 299-307.   DOI
20 Payton, R.C. (2012), Elastic wave propagation in transversely isotropic media. (Vol. 4), Springer Science & Business Media.
21 Sheng, X., Jones, C.J.C. and Petyt, M. (1999), "Ground vibration generated by a load moving along a railway track", J. Sound Vib., 228 (1), 129-156.   DOI
22 Piliposian, G.T. and Danoyan, Z.N. (2009), "Surface electroelastic Love waves in a layered structure with a piezoelectric substrate and two isotropic layers", Int. J. Solids Struct., 46(6), 1345-1353.   DOI
23 Qian, Z., Jin, F., Wang, Z. and Kishimoto, K. (2007), "Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness", Int. J. Eng. Science, 45(2), 455-466.   DOI
24 Sackman, J.L. (1961), "Uniformly moving load on a layered half plane", J. Eng. Mech. Div., 87(4), 75-90.   DOI
25 Singh, A. K., Kumar, S. and Chattopadhyay, A. (2014), "Effect of irregularity and heterogeneity on the stresses produced due to a normal moving load on a rough monoclinic half-space". Meccanica, 49(12), 2861-2878.   DOI
26 Singh, A.K., Kumar, S. and Chattopadhyay, A. (2015), "Lovetypewave propagation in a piezoelectric structure with irregularity", Int. J. Eng. Sci., 89, 35-60.   DOI
27 Sridhar, S., Giannakopoulos, A.E., Suresh, S. and Ramamurty, U. (1999), "Electrical response during indentation of piezoelectric materials: A new method for material characterization", J. Appl. Phys., 85(1), 380-387.   DOI
28 Tondreau, G., Raman, S. and Deraemaeker, A. (2014), "Point load actuation on plate structures based on triangular piezoelectric patches", Smart Struct. Syst., 13(4), 547-565.   DOI
29 Wu, C.P. and Ding, S. (2015), "Coupled electro-elastic analysis of functionally graded piezoelectric material plates", Smart Struct. Syst., 16(5), 781-806.   DOI
30 Ungar, A. (1976), "Wave generation in an elastic half-space by a normal point load moving uniformly over the free surface", Int. J. Eng. Sci., 14, 935-945.   DOI