On the Inflation of Residually Stressed Spherical Shells

نویسندگان

چکیده

A well known result from the non-linear theory of elasticity applied to spherical shells is that classical Mooney-Rivlin constitutive law may give either a monotonic or non-monotonic pressure-inflation response for finite deformation. Specifically, this determined by two factors: relative shell thickness, and $I_{1}$ $I_{2}$ contribution in M-R law. Here we consider how residual stress field affect behavior. Using framework hyperelastic materials with has been especially tubes, paper focuses on thickness while using similar prototypical energy response. In context examine different states, show certain these lead more workable analytical results than others. All them enable Taylor asymptotic expansions small large inflation limit. On basis it shown particular fields can cause graph become non-monotonic, vice versa.

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ژورنال

عنوان ژورنال: Journal of Elasticity

سال: 2021

ISSN: ['0374-3535', '1573-2681']

DOI: https://doi.org/10.1007/s10659-021-09866-0