Effect of Torsional Loading in an Axisymmetric Micro-Isotropic, Micro-Elastic Solid

E. Rama

Abstract


In this paper, an attempt is made to obtain the solution for the problem of torsional loading in an axisymmetric Micro-isotropic, Micro-elastic half-space under the action of an arbitrary load on its boundary. The components of displacement, microrotation, stress, couple stress and stress moment are obtained. These components are also obtained for a particular type of twist and represented graphically in the positive quadrant.


Keywords


Micro-isotropic & Micro-elastic media; Torsional loading

Full Text:

PDF

References


A.C. Eringen and E.S. Suhubi, Nonlinear theory of simple micro-elastic solids – I, International Journal of Engineering and Science 2(2) (1964), 189 – 203, DOI: 10.1016/0020-7225(64)90004-7.

A.C. Eringen, Mechanics of micromorphic materials, in Applied Mechanics, H. Görtler (eds), Springer, Berlin – Heidelberg, (1966), DOI: 10.1007/978-3-662-29364-5_12.

S.L. Koh, A special theory of microelasticity, International Journal of Engineering and Science 8(7) (1970), 583 – 593, DOI: 10.1016/0020-7225(70)90043-1.

S. Parameswaran and S.L. Koh, Wave propagation in micro-isotropic, micro-elastic solid, International Journal of Engineering and Science 11(1) (1973), 95 – 107, DOI: 10.1016/0020-7225(73)90072-4.

R. Kumar and T.K. Chadha, On torsional loading in an axisymmetric micropolarelastic medium, Proceedings of Indian Academy of Science (Mathematical Sciences), 95(2) (1986), 109 – 120, https://www.ias.ac.in/article/fulltext/pmsc/095/02/0109-0120.

E. Rama, A study on propagation of love waves in micro-isotropic, micro-elastic layered media, International Journal of Mathematical Archive 5(11) (2014), 58 – 63, http://www.ijma.info/index.php/ijma/article/view/3259/1989.

R. Srinivas, M.N. Rajashekar and K. Sambaiah, General solution of motion of axisymmetric problem of micro-isotropic, micro-elastic solid, International Journal of Engineering Research and Applications 4(7) (2014), 80 – 90, http://www.ijera.com/papers/Vol4_issue7/Version%201/N047018090.pdf.

T. Renji and L. Yulan, Torsion problems for cylinder with rectangular hole and a rectangular cylinder with a crack, Acta Mechanica Sinica 8 (1992), 165 – 172, DOI: 10.1007/BF02487164.

N. Vaysfeld and Yu. Protserov, The torsion problem of a multilayered finite cylinder with multiple interface cylindrical crack, Meccanica 52 (2017), 3731 – 3742, DOI: 10.1007/s11012-017-0672-7.




DOI: http://dx.doi.org/10.26713%2Fcma.v12i2.1507

Refbacks

  • There are currently no refbacks.


eISSN 0975-8607; pISSN 0976-5905