Shape derivative of the energy functional for the bending of elastic plates with thin defects

V. V. Shcherbakov

doi:10.1088/1742-6596/894/1/012084

Shape derivative of the energy functional for the bending of elastic plates with thin defects

V. V. Shcherbakov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

2 Цитирования (Scopus)

Аннотация

The paper deals with an equilibrium problem for a homogeneous isotropic elastic plate with a thin rigid inclusion and interfacial crack. We provide an explicit formula for the first shape derivative of the energy functional in the direction of a given vector field by means of a volume integral. For specific examples of the vector field, we derive some representations of the formula in terms of path-independent contour integrals.

Язык оригинала	английский
Номер статьи	012084
Число страниц	7
Журнал	Journal of Physics: Conference Series
Том	894
Номер выпуска	1
DOI	https://doi.org/10.1088/1742-6596/894/1/012084
Состояние	Опубликовано - 22 окт 2017

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10.1088/1742-6596/894/1/012084

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Shape derivative of the energy functional for the bending of elastic plates with thin defects. / Shcherbakov, V. V.

В: Journal of Physics: Conference Series, Том 894, № 1, 012084, 22.10.2017.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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