Moving Inclined Load at Boundary Surface

Rajneesh Kumar; Praveen Ailawalia

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(4): 437-446

Rajneesh Kumar, Praveen Ailawalia. Moving Inclined Load at Boundary Surface[J]. Applied Mathematics and Mechanics, 2005, 26(4): 437-446.

Citation:

Rajneesh Kumar, Praveen Ailawalia. Moving Inclined Load at Boundary Surface[J]. Applied Mathematics and Mechanics, 2005, 26(4): 437-446.

Citation:

Rajneesh Kumar, Praveen Ailawalia. Moving Inclined Load at Boundary Surface[J]. Applied Mathematics and Mechanics, 2005, 26(4): 437-446.

PDF( 408 KB)

Moving Inclined Load at Boundary Surface

Rajneesh Kumar¹,
Praveen Ailawalia²

1.
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India;

Received Date: 2003-06-05
Publish Date: 2005-04-15

Abstract

Abstract

The analytic expressions for the displacement components and stresses at any point of an infinite micropolar orthotropic elastic medium with an overlying elastic half space as a result of moving inclined load of arbitrary orientation were obtained.The inclined load was assumed to be a linear combination of a normal load and a tangential load.The eigen value approach using Fourier transformas was employed and the transform was inverted by using a numerical technique.The numerical results were illustrated graphically for aluminium epoxy composite.
- micropolar,
- orthotropic elastic medium,
- moving inclined load,
- eigenvalue,
- Fourier transform

FullText(HTML)

References(26)

References

[1]	Eringen A C.Linear theory of micropolar elasticity[J].J Math Mech,1966,15:909—923.
[2]	Iesan D.The plane micropolar strain of orthotropic elastic solids[J].Archives of Mechanics,1973,25:547—561.
[3]	Iesan D.Torsion of anisotropic elastic cylinders[J].ZAMM,1974,54:773—779. doi: 10.1002/zamm.19740541104
[4]	Iesan D.Bending of orthotropic micropolar elastic beams by terminal couples[J].An St Uni Iasi,1974,20:411—418.
[5]	Nakamura S,Benedict R,Lakes R.Finite element method for orthotropic micropolar elasticity[J].Int J Engg Sic,1984,22:319—330. doi: 10.1016/0020-7225(84)90013-2
[6]	Kumar R,Choudhary S.Influence of Green's function for orthotropic micropolar continua[J].Archives of Mechanics,2002,54:185—198.
[7]	Kumar R,Choudhary S.Dynamical behavior of orthotropic micropolar elastic medium[J].J Vibration Control,2002,8:1053—1069. doi: 10.1177/107754602029582
[8]	Kumar R,Choudhary S.Mechanical sources in orthotropic micropolar continua[J].Proc Indian Acad Sic,Earth Plant Sci,2002,111(2):133—141.
[9]	Kumar R,Choudhary S.Response of orthotropic micropolar elastic medium due to various sources[J].Meccanica,2003,38:349—368. doi: 10.1023/A:1023365920783
[10]	Kumar R,Choudhary S.Response of orthotropic micropolar elastic medium due to time harmonic sources[J].Sadhana,2003.
[11]	Nath S,Sengupta P R.Steady state response to moving loads in an elastic solid media[J].Indian J Pure Appl Math,1999,30:317—327.
[12]	Katz R.The dynamic response of a rotating shaft subject to an axially moving and rotating load[J].J Sound and Vibration,2001,246(5):757—775. doi: 10.1006/jsvi.2000.3450
[13]	Verruijt A,Cordova C C.Moving loads on an elasitc half plane with hysteretic damping[J].J Appl Mech,2001,68:915—922. doi: 10.1115/1.1410097
[14]	Kumar R,Gogna M L.Steady state response to moving loads in micropolar elastic medium with stretch[J].Int J Engg Sci,1992,30:811—820. doi: 10.1016/0020-7225(92)90110-3
[15]	Kumar R,Deswal S.Steady state response of a micropolar generalized thermoelastic half space to the moving mechanical/thermal loads[J].Proc Indian Acad Sci, Math Sci,2000,110(4):449—465. doi: 10.1007/BF02829537
[16]	Kumar R,Deswal S.Steady state response to moving loads in a micropolar generalized thermoelastic half space without energy dissipation[J].Ganita,2002,53(1):23—42.
[17]	Kumar R,Ailawalia P.Moving load response at thermal conducting fluid and micropolar solid interface[J].Int J Appl Mech Engg,2003.
[18]	Kuo J T.Static response of a multilayered medium under inclined surface loads[J].J Geophysical Research,1969,74(12):3195—3207. doi: 10.1029/JB074i012p03195
[19]	Georgiadis H G,Barber J R.Steady state transonic motion of a line load over an elastic half space:The corrected Cole/Huth solution[J].Journal of Applied Mechanics,1993,60(772):772—774. doi: 10.1115/1.2900872
[20]	Garg N R,Kumar R,Goel A,et al.Plane strain deformation of an orthotropic elastic medium using eigen value approach[J].Earth Planets Space,2003,55:3—9.
[21]	Eringen A C.Theory of Micropolar Elasticity in Fracture[M].Vol Ⅱ.Academic Press,1968,621—729.
[22]	Ewing W M,Jardetzky,Press F.Elastic Waves in Layered Media[M].McGraw Hill,1957.
[23]	Fung Y C.Foundations of Solid Mechanics[M].New Delhi:Prentice Hall,1968.
[24]	Press W H,Teukolsky S A,Vellerling W T,et al.Numerical Recipes[M].Cambridge:Cambridge Univeristy Press,1986.
[25]	Gauthier R D.Experimental investigations on micropolar media[A].In:Brulin O,Hsieh R K T Eds.Mechanics of Micropolar Media[C].Singapore:World Scientific,1982.
[26]	Bullen K E.An Introduction to Theory of Seismology[M].Cambridge:Cambridge University Press,1963.