Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
A two-dimensional model of the thin laminar wall of a curvilinear flexible pipe. / Ghosh, A.; Kozlov, V. A.; Nazarov, S. A.; Rule, D.
в: Quarterly Journal of Mechanics and Applied Mathematics, Том 71, № 3, 01.01.2018, стр. 349-367.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - A two-dimensional model of the thin laminar wall of a curvilinear flexible pipe
AU - Ghosh, A.
AU - Kozlov, V. A.
AU - Nazarov, S. A.
AU - Rule, D.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - We present a two-dimensional model describing the elastic behaviour of the wall of a curved flexible pipe. The wall has a laminate structure consisting of several anisotropic layers of varying thickness and is assumed to be much smaller in thickness than the radius of the channel which itself is allowed to vary. Our two-dimensional model takes the interaction of the wall with any surrounding or supporting material and the fluid flow into account and is obtained via a dimension reduction procedure. The curvature and twist of the pipe's axis as well as the anisotropy of the laminate wall present the main challenges in applying the dimension reduction procedure so plenty of examples of canonical shapes of pipes and their walls are supplied with explicit systems of differential equations at the end.
AB - We present a two-dimensional model describing the elastic behaviour of the wall of a curved flexible pipe. The wall has a laminate structure consisting of several anisotropic layers of varying thickness and is assumed to be much smaller in thickness than the radius of the channel which itself is allowed to vary. Our two-dimensional model takes the interaction of the wall with any surrounding or supporting material and the fluid flow into account and is obtained via a dimension reduction procedure. The curvature and twist of the pipe's axis as well as the anisotropy of the laminate wall present the main challenges in applying the dimension reduction procedure so plenty of examples of canonical shapes of pipes and their walls are supplied with explicit systems of differential equations at the end.
UR - http://www.scopus.com/inward/record.url?scp=85055274535&partnerID=8YFLogxK
U2 - 10.1093/qjmam/hby009
DO - 10.1093/qjmam/hby009
M3 - Article
AN - SCOPUS:85055274535
VL - 71
SP - 349
EP - 367
JO - Quarterly Journal of Mechanics and Applied Mathematics
JF - Quarterly Journal of Mechanics and Applied Mathematics
SN - 0033-5614
IS - 3
ER -
ID: 40973450