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On Professor Grioli's last riddle: what boundary and initial conditions make sense for microstructured continua? (Q1751622)

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scientific article; zbMATH DE number 6873480
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English
On Professor Grioli's last riddle: what boundary and initial conditions make sense for microstructured continua?
scientific article; zbMATH DE number 6873480

    Statements

    On Professor Grioli's last riddle: what boundary and initial conditions make sense for microstructured continua? (English)
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    25 May 2018
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    Summary: An abridged but faithful exposition of Professor \textit{G. Grioli}'s version [Contin. Mech. Thermodyn. 15, No. 5, 441--450 (2003; Zbl 1068.74514)] of the theory of microstructured continua of Cosserat type is given, so as to reformulate and discuss the title question. This exposition prompts some reflections on how to bridge by the use of continuum theories the gap between microscopic and macroscopic mathematical descriptions of matter.
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    refined Cauchy theory
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    initial conditions
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    boundary conditions
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    confinement conditions
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    Cosserat continuum
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