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- W3171789143 abstract "Our first objective is to identify two-dimensional equations that model the displacement of a linearly elastic flexural shell subjected to the action of an external heat source. To this end, we embed the shell into a family of linearly elastic flexural shells, all sharing the same middle surface θ(ω‾), where ω is a domain in R2 and θ:ω‾→E3 is a smooth enough immersion and whose thickness 2ε>0 is considered as a “small” parameter approaching zero. We then identify, and justify by means of a rigorous asymptotic analysis as ε approaches zero, the corresponding “limit” two-dimensional variational problem. Our second objective is to identify and justify a set of two-dimensional equations that are meant to approximate the original three-dimensional model in the case where the shell under consideration is either an elliptic membrane shell or a flexural shell." @default.
- W3171789143 created "2021-06-22" @default.
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- W3171789143 date "2021-09-01" @default.
- W3171789143 modified "2023-09-26" @default.
- W3171789143 title "On the justification of the frictionless time-dependent Koiter's model for thermoelastic shells" @default.
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- W3171789143 doi "https://doi.org/10.1016/j.jde.2021.05.058" @default.
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