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Asymptotic Analysis of Spatial Problems in Elasticity pp 123–133Cite as

Constructing Homogeneous Solutions for a Truncated Hollow Cone

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 99))

Abstract

We will consider an axially symmetric problem of isotropic theory of elasticity for a truncated hollow cone of variable thickness.

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References

  1. Akhmedov NK, Mekhtiev MF. Analysis of three-dimensional problem of elasticity theory for a nonhomogeneous truncated cone. RAN, PMM. 1993; T.57, issue 5:113–119 (in Russian).

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  2. Mekhtiev MF. Asymptotic analysis of some space problems of elasticity theory for hollow bodies. Author’s these of doct. dissertation, Leningrad; 1989. 30 p.

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  3. Mekhtiev MF. Ustinov YA. Asymptotic study of the solution of elasticity theory problem for a hollow cone. PMM; 1971; 35 issue 6:1108–1115.

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  4. Lekhnitskii SG. Theory of elasticity of an anisotropic body. Moscow: Nauka; 1977. 415 p (in Russian).

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  5. Mekhtiev MF. Vibration of hollow elastic bodies. Springer; 2018. 212 p.

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  6. Mekhtiev MF. Constructing refined applied theories for a truncated hollow cone. Izv. AN Azerb. SSR, ser. phys. mech. and math. 1972; 4:17–21.

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Authors and Affiliations

  1. Faculty of Applied Mathematics, Baku State University, Baku, Azerbaijan

    Magomed F. Mekhtiev

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  1. Magomed F. Mekhtiev
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Correspondence to Magomed F. Mekhtiev .

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Mekhtiev, M.F. (2019). Constructing Homogeneous Solutions for a Truncated Hollow Cone. In: Asymptotic Analysis of Spatial Problems in Elasticity. Advanced Structured Materials, vol 99. Springer, Singapore. https://doi.org/10.1007/978-981-13-3062-9_3

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  • DOI: https://doi.org/10.1007/978-981-13-3062-9_3

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-3061-2

  • Online ISBN: 978-981-13-3062-9

  • eBook Packages: EngineeringEngineering (R0)

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