ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF CURVED RODS
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Structures Made of Curved Rods
Abstract. In this paper we study the asymptotic behavior of a structure made of curved rods of thickness 2δ when δ→0. This study is carried on within the frame of linear elasticity by using the unfolding method. It is based on several decompositions of the structure displacements and on the passing to the limit in fixed domains. We show that any displacement of a structure is the sum of an elem...
متن کاملAsymptotic behavior of structures made of straight rods
This paper is devoted to describe the deformations and the elastic energy for structures made of straight rods of thickness 2δ when δ tends to 0. This analysis relies on the decomposition of the large deformation of a single rod introduced in [7] and on the extension of this technique to a multi-structure. We characterize the asymptotic behavior of the infimum of the total elastic energy as the...
متن کاملAsymptotic behavior of Structures made of Plates
The aim of this work is to study the asymptotic behavior of a structure made of plates of thickness 2δ when δ→0. This study is carried on within the frame of linear elasticity by using the unfolding method. It is based on several decompositions of the structure displacements and on the passing to the limit in fixed domains. We begin with studying the displacements of a plate. We show that any d...
متن کاملAsymptotic Behaviour of Curved Rods by the Unfolding Method
We consider in this work general curved rods with a circular cross-section of radius δ. Our aim is to study the asymptotic behaviour of such rods as δ→0, in the framework of the linear elasticity according to the unfolding method. It consists in giving some decompositions of the displacements of such rods, and then in passing to the limit in a fixed domain. A first decomposition concerns the el...
متن کاملAsymptotic behavior of straight rods with different order of thickness
Once we have established the appropriate estimates, we introduce a rescaling operator which allows to work in a fixed domain. Then, we give the limit of the displacements and we show a few relations between some of them. Since some of the a priori estimates established depend on the variable thickness we introduce some weighted Sobolev spaces which allow to obtain the limit fields in a natural ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Analysis and Applications
سال: 2008
ISSN: 0219-5305,1793-6861
DOI: 10.1142/s0219530508001031