Some problems of wave propagation in a micropolar elastic medium with voids

JVC/Journal of Vibration and Control

Volumn 12, Issue 8, 2006, Pages 849-879

  Kumar, Rajneesh ^a   Deswal, Sunita ^b  

^a KURUKSHETRA UNIVERSITY   (India)

^b GURU JAMBHESHWAR UNIVERSITY OF SCIENCE AND TECHNOLOGY   (India)

Author keywords

Frequency equations; Micropolar elastic solid; Reflection of waves; Voids; Wave propagation

Indexed keywords

DIFFERENTIAL EQUATIONS; ELASTIC MODULI; EQUATIONS OF MOTION; MATHEMATICAL MODELS; POISSON DISTRIBUTION; WAVE PROPAGATION;

FREQUENCY EQUATIONS; MICROPOLAR ELASTIC SOLID; REFLECTION OF WAVES; VOIDS;

PROBLEM SOLVING;

EID: 33751576414     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546306065856     Document Type: Article

References (20)

1. Chandrasekharaiah, D. S., 1986, "Surface waves in an elastic half-space with voids," Acta Mechanica 62, 77-85.
2. Chandrasekharaiah, D. S., 1987, "Rayleigh-Lamb waves in an elastic plate with voids," Journal of Applied Mechanics 54, 509-512.
3. Cowin, S. C. and Nunziato, J. W., 1983, "Linear elastic materials with voids", Journal of Elasticity 13, 125-147.
4. Eringen, A. C., 1968, "Theory of Micropolar Elasticity in Fracture," Vol. 2, Chapter 7, Academic Press, New York, NY.
5. Gauthier, R. D., 1982, "Experimental investigation on micropolar media," in Mechanics of Micropolar Media, O. Brulin and R. K. T. Hsieh, Eds., World Scientific, Singapore.
6. Iesan, D., 1985, "Shock waves in micropolar elastic materials with voids," An.st.Univ. 'Al. I.Cuza, Lasi 31, 177-186.
7. Iesan, D., 1986, "A theory of thermoelastic materials with voids," Acta Mechanica 60, 67-89.
8. Kumar, R. and Ailawalia, P., 2005, "Moving load response of a micropolar elastic half space with voids," Journal of Sound and Vibration 280, 837-848.
9. Kumar, R. and Choudhary, S., 2003, "Interaction due to mechanical sources in a micropolar elastic medium with voids," Journal of Sound and Vibration 266, 889-904.
10. Lamb, H., 1917, "On waves in an elastic plate," Proceedings of the Royal Society of London Series A 93, 114-128.
11. Marin, M., 1995, "The mixed problem in elasto static of micropolar materials with voids," An: Stiinf Univ. Ovidivs Constanta Se:-. Mat. 3, 106-117.
12. Marin, M., 1996, "Generalized solutions in elasticity of micropolar bodies with voids," Rev. Acad. Canaria Cienc. 8, 101-106.
13. Marin, M., 1998, "A temporally evalutionary equation in elasticity of micropolar bodies with voids," Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 60, 3-12.
14. Nowacki, W., 1970, "Theory of micropolar elasticity," Int. Centre for Mechanical Sciences, Courses and Lectures, Berlin Verlag, No.25.
15. Nunziato, J. W. and Cowin, S.C, 1979, "A non-linear theory of elastic materials with voids," Archive Rat. Mech. Anal. 72, 175-201.
16. Parfitt, V. R. and Eringen, A. C., 1969, "Reflection of plane waves from flat boundary of a micropolar elastic half-space," Journal of the Acoustic Society of America 45 (5). 1258-1272.
17. Rayleigh, Lord, 1885, "On wave propagated on the plane surface of an elastic solid," Proceedings of the London Mathematical Society, 17 4-11.
18. Scarpetta, E., 1990, "On the fundamental solutions in micropolar elasticity with voids," Acta Mechanica 82, 151-158.
19. Sengupta, P. R. and De, S. N., 1974, "Surface waves in micropolar elastic medium," Bulletin Academic Polon Science Series Science Technology 23, 137-146.
20. Sengupta, P. R. and Banerji, D. K., 1978, "Propagation of waves in a micropolar elastic layer immersed in an infinite liquid," Bulletin Academic Polon Science Series Science Technology 24, 175-189.