Singular solutions of a transmission problem in plane linear elasticity for wedge-shaped regions
نویسندگان
چکیده
منابع مشابه
Weak solutions of the transmission problem in anti-plane Cosserat elasticity
The theory of Cosserat elasticity (also known as micropolar or asymmetric elasticity) was introduced by Cosserat brothers [1] and further developed by Eringen [2] to model the mechanical behavior of materials for which the microstructure is significant (see [3] for a review of works in this area and an extensive bibliography). The theory was intended to eliminate discrepancies between the class...
متن کاملIn-Plane and out of Plane Free Vibration of U-Shaped AFM Probes Based on the Nonlocal Elasticity
Atomic force microscope (AFM) has been developed at first for topography imaging; in addition, it is used for characterization of mechanical properties. Most researches have been primarily focused on rectangular single-beam probes to make vibration models simple. Recently, the U-shaped AFM probe is employed to determine sample elastic properties and has been developed to heat samples locally. I...
متن کاملApproximate Solutions to a Linear Dirichlet Problem with Singular Coefficients
In this paper is constructed an aproximate solution to P (x,D)G = H, G|∂Ω = F in the space of generaliaed Colombeau functions on Ω. Here P is a differential operator with coefficients which are generalized functions (for example singular distributions), Ω is a bounded open set, and H and F are generalized functions. Also, solutions to a class of elliptic equations with coefficients in G are obt...
متن کاملRegularity Estimates for Solutions of the Equations of Linear Elasticity in Convex Plane Polygonal Domain
The Dirichlet problem for the plane elasticity problem on a convex polygonal domain is considered and it is proved that for data in L the H regularity estimate holds with constants independent of the Lamé coefficients.
متن کاملRegularity Estimates for Solutions of the Equations of Linear Elasticity in Convex Plane Polygonal Domains
The Dirichlet problem for the plane elasticity problem on a convex polygonal domain is considered and it is proved that for data in L the H regularity estimate holds with constants independent of the Lamé coefficients.
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: Numerische Mathematik
سال: 1991
ISSN: 0029-599X,0945-3245
DOI: 10.1007/bf01385776