Torsion of Chiral Porous Elastic Beams
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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.
KeywordsChiral materials Porous elastic solids Microstretch continua Plane deformation Torsion problem
Mathematics Subject Classification (2010)74A35 74G50 74K10 74L15
I express my gratitude to the referees for their helpful suggestions.
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