Polygonal Interface Problems
Serge Nicaise
The aim of this volume is to extend some of the classical results of Kondratiev, Maz'ya-Plamenevskii, Grisvard and Dauge, about the singular behaviour of the weak solution of a boundary value problem in a nonsmooth domain to the setting of boundary value problems on a two-dimensional polygonal topological network (roughly speaking it is a network such that each face is a polygon). Some mechanical phenomena were recently described by boundary value problems on such networks: let us quote vibrating folded membranes, composite plates, folded plates, junctions in elastic multi-structures. In view to numerical applications, the singularities, as well as their coefficients (the so-called stress intensity factors) are described explicitly. The obtained decomposition into regular and singular parts also leads to the Fredholm property of the associated operator between appropriate Sobolev spaces.
Категорії:
Рік:
1993
Видавництво:
Peter Lang
Мова:
english
Сторінки:
257
ISBN 10:
3631463804
ISBN 13:
9783631463802
Серії:
Methoden Und Verfahren Der Mathematischen Physik, Bd 39
Файл:
DJVU, 3.65 MB
IPFS:
,
english, 1993