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Asymptotic Analysis of a Bending Problem for a Variable Thickness Transtropic Plate

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

Abstract

In this chapter we give the solution of a problem of bending of a transversally-isotropic plate of variable thickness. The asymptotic behavior of the solution for a small thinness parameter is studied.

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References

  1. Beitman G, Erdein A. Higher transcendental functions, vol. 1. Moscow: Nauka; 1965. 294p (in Russian).

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  2. Beitman G, Erdein A. Higher transcendental functions, vol. 2. Moscow: Nauka; 1996. 295p (in Russian).

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  3. Magomed F. Mekhtiev Vibration of hollow elastic bodies. Berlin: Springer; 2018. 712p.

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

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  5. Aksenjin OK, Vorovich II. Stress state of a small thickness strip. LPM. 1963;27(6):1057–74.

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  6. Vorovich II, Maekina OS. Stress state of a thick strip. PMM. 1967;31(2):230–41.

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Correspondence to Magomed F. Mekhtiev .

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Mekhtiev, M.F. (2019). Asymptotic Analysis of a Bending Problem for a Variable Thickness Transtropic Plate. 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_6

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  • DOI: https://doi.org/10.1007/978-981-13-3062-9_6

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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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