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Asymptotic Behavior of the Solution to an Axially Symmetric Problem of Elasticity Theory for a Transversally-Isotropic Hollow Cone

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Asymptotic Analysis of Spatial Problems in Elasticity

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

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Abstract

In this chapter we construct an asymptotic theory for a general conical shell of variable thickness, valid in particular for a cylindrical shell. This theory contains methods for constructing homogeneous solutions, and indicates a way for constructing inhomogeneous solutions.

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References

  1. Bateman H., Erdelyi A. Higher transcendental functions. M., Nauka. 1996; 2:295 (in Russian).

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

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Correspondence to Magomed F. Mekhtiev .

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Mekhtiev, M.F. (2019). Asymptotic Behavior of the Solution to an Axially Symmetric Problem of Elasticity Theory for a Transversally-Isotropic 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_4

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  • DOI: https://doi.org/10.1007/978-981-13-3062-9_4

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-3061-2

  • Online ISBN: 978-981-13-3062-9

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