Abstract
Effects of torsional loading in an axisymmetric micropolar elastic half-space are studied. The components of microrotation displacement, force stress and couple stress are obtained for a half-space subjected to an arbitrary load produced by shearing stress. A special case of a particular type of twist has been discussed in detail for a specific model and the micropolar effects have been shown graphically.
Similar content being viewed by others
References
Eason G, On the torsional impulsive loading of an elastic half-space,Q. J. Mech. Appl. Math. 17 (1964) 279–292
Erdelyi ATables of integral transform (New York: McGraw Hill) (1954) Vol. 2
Eringen A C and Suhubi E S, Non-linear theory of simple microelastic solids, I and II,Int. J. Eng. Sci. 2 (1964) 189–203, 389–404
Khan S M and Dhaliwal R S, Axisymmetric problem for half-space in the micropolar theory of elasticity,J. Elast. 7 (1977) 13–32
Kumar R and Chadha T K, Axisymmetric problem in micropolar elastic half-space with stretch,Int. J. Eng. Sci. 23 (1985a) 1009–1029
Kumar R and Chadha T K, Phane problem in micropolar elastic half-space with stretch,Indian J. Pure Appl. Math. 16 (1985b) 559–574
Kumar R and Chadha T K, Lamb's plane problem in micropolar elastic half-space with stretch,Bull. Acad. Pol. Sci. Ser. Sci. Tech. 34 (1986) 59–72
Kumar R, Chadha T K and Debnath L, Lamb's plane problem in thermoelastic micropolar medium with stretch,Int. J. Math. Math. Sci. 10 (1987) 187–198
Kuvchinski E V and Aero E L, Continuum theory of asymmetric elasticity (in Russian)Fiz. Trierd. Tiela 5 (1963) 2592
Nowacki W, Theory of micropolar elasticity, Int. Centre for Mechanical Sciences, Courses and Lectures, No. 25, (Berlin: Springer Verlag) (1970)
Nowacki W, Axially symmetric problem in micropolar elasticity,Bull. Acad. Pol. Sci. Ser. Sci. Tech. 29 (1971) 317–325
Nowacki W, Second axial symmetric problem in micropolar elasticity,Bull. Acad. Pol. Sci. Ser. Sci. Tech. 20 (1972) 517–522
Nowacki W and Nowacki W K, The axial symmetric Lamb's problem in a semi-infinite micropolar elastic solid,Proc. Vib. Probl. (Warsaw) 10 (1969) 97
Palmov M A, Fundamental equations of the theory of asymmetric elasticity (in Russian)Prinkl. Math. Mekh. 28 (1984) 401–408
Sarkar G, Wave motion due to impulsive twist on the surface,Pageoph 65 (1969) 43–47
Sengupta A K, Note on the torsional vibration of a semi-infinite elastic medium by a particular type of twist,Bull. Calif. Math. Soc. 56 (1964) 25–28
Tiwari G, Effect of couple-stress in a semi-infinite elastic medium due to impulsive twist on the surface,Pageoph 91 (1971) 71–75
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kumar, R., Chadha, T.K. On torsional loading in an axisymmetric micropolar elastic medium. Proc. Indian Acad. Sci. (Math. Sci.) 95, 109–120 (1986). https://doi.org/10.1007/BF02881074
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02881074