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Journal of Elasticity

, Volume 134, Issue 1, pp 103–118 | Cite as

Torsion of Chiral Porous Elastic Beams

  • D. IeşanEmail author
Article
  • 44 Downloads

Abstract

This paper is concerned with the equilibrium theory of chiral porous elastic solids. We study the problem of torsion, bending and extension of chiral cylinders. First, it is shown that the solution can be found as a vector field which has the property that its partial derivative with respect to axial coordinate corresponds to a rigid deformation. Then, we reduce the problem to the study of some two-dimensional problems. With the help of these results we can investigate the bending by terminal couples and the problems of extension and torsion. The solution is used to study the torsion of a chiral circular cylinder.

Keywords

Chiral materials Porous elastic solids Microstretch continua Plane deformation Torsion problem 

Mathematics Subject Classification (2010)

74A35 74G50 74K10 74L15 

Notes

Acknowledgements

I express my gratitude to the referees for their helpful suggestions.

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.“Octav Mayer” Institute of MathematicsRomanian AcademyIaşiRomania

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