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Pochhammer—Chree Wave Dispersion in Hollow Cylinders
The closed form analytical solutions of the dispersion equation for propagating modes of the Pochhammer—Chree waves in a hollow cylinder with the traction free boundary conditions at the outer surfaces of the cylinder, are derived. The dispersion portraits for longitudinal symmetric modes are obtained, revealing a substantial discrepancy in dispersion of the considered waves in hollow and solid cylinders. Along with the dispersion analysis, the analytical expressions for the elastic harmonic displacement fields are derived.
Pochhammer—Chree Wave Dispersion in Hollow Cylinders
The closed form analytical solutions of the dispersion equation for propagating modes of the Pochhammer—Chree waves in a hollow cylinder with the traction free boundary conditions at the outer surfaces of the cylinder, are derived. The dispersion portraits for longitudinal symmetric modes are obtained, revealing a substantial discrepancy in dispersion of the considered waves in hollow and solid cylinders. Along with the dispersion analysis, the analytical expressions for the elastic harmonic displacement fields are derived.
Pochhammer—Chree Wave Dispersion in Hollow Cylinders
Lecture Notes in Civil Engineering
Akimov, Pavel (editor) / Vatin, Nikolai (editor) / Gadzhibekov, Tagibek (author)
2021-11-09
7 pages
Article/Chapter (Book)
Electronic Resource
English
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