Korn Inequality for a Thin Periodic Corrugated Beam
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DOI: 10.1007/s10958-017-3540-z
Abstract: We obtain the asymptotically exact weighted Korn inequality for a thin (of thickness δh) periodically corrugated (with step δ) beam clamped at its ends. The constant in the inequality is independent of both small parameters… read more here.
Keywords: thin periodic; korn inequality; periodic corrugated; inequality thin ... See more keywords
The effect of uncertain material properties on free vibrations of thin periodic plates
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DOI: 10.1007/s11012-017-0661-x
Abstract: Thin periodic plates with uncertain properties in a periodicity cell are investigated. To describe dynamics of these plates the non-asymptotic tolerance modelling method, cf. Woźniak and Wierzbicki (Averaging techniques in thermomechanics of composite solids. Wydawnictwo… read more here.
Keywords: thin periodic; periodic plates; effect uncertain; uncertain material ... See more keywords
Homogenisation of thin periodic frameworks with high-contrast inclusions
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DOI: 10.1016/j.jmaa.2018.12.014
Abstract: We analyse a problem of two-dimensional linearised elasticity for a two-component periodic composite, where one of the components consists of disjoint soft inclusions embedded in a rigid framework. We consider the case when the contrast… read more here.
Keywords: frameworks high; homogenisation thin; high contrast; thin periodic ... See more keywords