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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.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Shape derivative of the energy functional for the bending of elastic plates with thin defects
AU - Shcherbakov, V. V.
PY - 2017/10/22
Y1 - 2017/10/22
N2 - 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.
AB - 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.
KW - RIGID INCLUSION
KW - INTEGRALS
KW - CRACK
UR - http://www.scopus.com/inward/record.url?scp=85033232271&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/894/1/012084
DO - 10.1088/1742-6596/894/1/012084
M3 - Article
AN - SCOPUS:85033232271
VL - 894
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012084
ER -
ID: 9700124