Abstract
The present paper is concerned with the plane strain problem in homogeneous micropolar orthotropic elastic solid. The disturbance due to various types of sources is investigated by employing the eigenvalue approach. The integral transforms have been inverted by using a numerical technique to obtain the normal force stress and tangential couple stress in the physical domain. The expressions of these quantities are given and illustrated graphically.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Eringen, A.C., 'Linear theory of micropolar elasticity', J. Math. Mech. 15 (1966) 909-924.
Eringen, A.C., Theory of Micropolar Elasticity in Fracture, Vol. II, Academic Press, New York, 1968, pp. 621-729.
Iesan, D., 'The plane micropolar strain of orthotropic elastic solids', Arch. Mech. 25 (1973) 547-561.
Iesan, D., 'Torsion of anisotropic elastic cylinders', ZAMM 54 (1974) 773-779.
Iesan, D., 'Bending of orthotropic micropolar elastic beams by terminal couples', An. St. Uni. Iasi. XX (1974) 411-418.
Gauthier, R.D., 'Experimental investigations on micropolar media', in: Brulin, O. and Hsieh, R.K.T. (eds), Mechanics of Micropolar Media, World Scientific, Singapore, 1982.
Honig, G. and Hirdes, U., 'A method for the numerical inversion of the Laplace transform', J. Comp. Appl. Math. 10 (1984) 113-132.
Nakamura, S., Benedict, R. and Lakes, R., 'Finite element method for orthotropic micropolar elasticity', Int. J. Eng. Sci. 22 (1984) 319-330.
Press, W.H., Teukolsky, S.A., Vellerlig, W.T. and Flannery, B.P., Numerical Recipes in FORTRAN, (2nd edn.), Cambridge University Press, Cambridge, 1986.
Mahalabanabis, R.K. and Manna, J., 'Eigenvalue approach to linear micropolar elasticity', Indian J. Pure Appl. Math. 20 (1989) 1237-1250.
Cheng, Z.-Q. and He, L.-H., 'Micropolar elastic field due to a spherical inclusion', Int. J. Eng. Sci. 33 (1995) 389-397.
Cheng, Z.-Q. and He, L.-H., 'Micropolar elastic field due to a circular inclusion', Int. J. Eng. Sci. 35 (1997) 659-668.
Manna, J. and Mahalabanabis, R.K., 'Eigenvalue approach to the problem of linear micropolar thermoelasticity', Indian Acad. Math. Sci. 19 (1997) 69-86.
Erbay, H.A., 'An asymptotic theory of thin micropolar plates', Int. J. Eng. Sci. 38 (2000) 1497-1516.
Kumar, R. and Deswal, S., 'Steady-state response of a micropolar generalized thermoelastic half-space to the moving mechanical/thermal loads', Proc. Indian Acad. Math. Sci. 119 (2000) 449-465.
Kumar, R. and Deswal, S., 'Mechanical and thermal source in a micropolar generalized thermoelastic medium', J. Sound Vib. 239 (2001) 467-488.
Kumar, R., Singh, R. and Chadha, T.K., 'Eigenvalue approach to micropolar medium due to impulsive force at the origin', Indian J. Pure Appl. Math. 32 (2001) 1127-1144.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kumar, R., Choudhary, S. Response of Orthotropic Micropolar Elastic Medium Due to Various Sources. Meccanica 38, 349–368 (2003). https://doi.org/10.1023/A:1023365920783
Issue Date:
DOI: https://doi.org/10.1023/A:1023365920783