A Torsion Problem of a Prismatic Rod Composed of Two Orthotropic Materials

Vardges Yedoyan

doi:10.4028/www.scientific.net/AMR.1020.280

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1020A Torsion Problem of a Prismatic Rod Composed of...

A Torsion Problem of a Prismatic Rod Composed of Two Orthotropic Materials

Abstract:

A rod composed of two different prismatic rods built-up with rectilinear orthotropic materials is studied. Composite parts of the prismatic rods are connected entirely by their common surface. The anisotropy axis is perpendicular to the cross-section plane. The problem has been solved in Cartesian coordinate system. The functions of stresses are presented by the sums of solutions corresponding to positive eigenvalues of homogeneous boundary problems and partial solutions of inhomogeneous boundary problems. From condition of existence of the non-trivial solution of the homogeneous boundary problem an equation in respect to eigenvalues is derived of which roots are real and different. If there are roots in (0; 1) interval, then the stresses tend to infinity at the vertex of the cross-section of the composite rod have a feature with the order equal to where - is the smallest root in the interval (0, 1).

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Periodical:

Advanced Materials Research (Volume 1020)

Pages:

280-285

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1020.280

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Online since:

October 2014

Authors:

Vardges Yedoyan

Keywords:

Composite Rod, Eigenvalue, Exact Solution, Orthotropic Anisotropy

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