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Article
A Universal Expression for Bounds on the Torsional Rigidity of Cylindrical Shafts Containing Fibers with Arbitrary Transverse Cross-Sections
We derive upper and lower bounds for the torsional rigidity of host shafts containing a number of cylindrical fibers. The transverse cross-sections of the host shaft and the fibers are simply connected, but co...
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Article
A Recipe for Building the Torsional-Rigidity Bounds of Shafts Containing Multiply Coated Fibers with Imperfect Interfaces
This work is concerned with deriving the upper and lower bounds for the torsional rigidity of cylindrical shafts with arbitrary cross-section containing a number of multiply coated fibers with imperfect interf...
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Article
Rigorous Bounds on the Torsional Rigidity of Composite Shafts with Imperfect Interfaces
We derive upper and lower bounds for the torsional rigidity of cylindrical shafts with arbitrary cross-section containing a number of fibers with circular cross-section. Each fiber may have different constitue...
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Article
A Confocally Multicoated Elliptical Inclusion under Antiplane Shear: Some New Results
The problem of a confocally multicoated elliptical inclusion in an unbounded matrix subjected to an antiplane shear is studied. Making use of the complex potentials and conformal map** techniques, we show th...
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Article
Saint-Venant Torsion of a Two-Phase Circumferentially Symmetric Compound Bar
This work is concerned with the Saint-Venant torsion problem of a two-phase circumferentially symmetric compound prismatic bar. By generalizing a method originally proposed by Packham and Shail [12], we demons...
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Article
Piezoelectric Analogy of Generalized Torsion in Anisotropic Elasticity
We consider a piezoelectric body bounded by a cylindrical surface in which all cross sections are of the same geometry. Suppose on the lateral surface the body is loaded in such a way that the stress and elect...