Elastic stresses in an encapsulated gas bubble

Naude, J.; Méndez, F.; Velasco-Pelayo, A.; Navarrete, M.

doi:10.1016/j.mechrescom.2014.05.003

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2015

2024

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Cited by 3 publications

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“…Regarding a pressurized hollow sphere, this is a Lamé problem with free boundaries. A spherical shell is still one of the widely used models, for which analytical benchmarks can be obtained in many areas [1,6,7,10].…”

Section: Introductionmentioning

confidence: 99%

Generalization of the Lamé problem for three-stage decelerated corrosion process of an elastic hollow sphere

Sedova

Pronina

2015

Mechanics Research Communications

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a b s t r a c tThe paper presents an analytical solution to Lamé's problem for a hollow sphere with unknown evolving boundaries. The double-sided uniform corrosion of a linearly elastic thick-walled spherical shell under internal and external pressure is considered. It is assumed that the corrosion rates are piecewise linear functions of the maximum principal stress on the related surface, and exponentially decaying with time. The corrosion process is supposed to be divided into three successive stages: constant rate double-sided corrosive wear, a stage of corrosion accelerated on only one of the surfaces of the shell, and a double-sided mechanochemical corrosion. Closed-formed expressions for all the consecutive stages are obtained with their junction points (corresponding to stress corrosion thresholds) being taken into account.

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Section: Introductionmentioning

confidence: 99%