Reconstruction of inclusions in an elastic body
نویسندگان
چکیده
منابع مشابه
Reconstruction of Inclusions in an Elastic Body
We consider the reconstruction of elastic inclusions embedded inside of a planar region, bounded or unbounded, with isotropic inhomogeneous elastic parameters by measuring displacements and tractions at the boundary. We probe the medium with complex geometrical optics solutions having polynomial-type phase functions. Using these solutions we develop an algorithm to reconstruct the exact shape o...
متن کاملDetecting Rigid Inclusions, or Cavities, in an Elastic Body
In this paper we address the following problem of nondestructing testing: to determine, within an elastic body , the possible presence of defects in the form of either cavities or rigid inclusions, from measurements of traction and displacement taken at the exterior boundary of . Let us denote by D the unknown, possibly disconnected, defect and let us assume that D is an open set compactly cont...
متن کاملReconstruction of Elastic Inclusions of Small Volume via Dynamic Measurements
We consider the inverse problem of identifying locations and certain properties of the shapes of small elastic inclusions in a homogeneous background medium from dynamic boundary measurements for a finite interval in time. Using as weights particular background solutions, we present an asymptotic method based on appropriate averaging of the dynamic boundary measurements and propose non-iterativ...
متن کاملNumerical reconstruction of a cluster of small elastic inclusions
We consider a problem of reconstructing a cluster of small elastic inclusions which are located close to each other. We show that the location of the cluster and the elastic moment tensor associated with it can be reconstructed by the measurements of the displacement vectors on the boundary corresponding to the traction applied on the boundary. The detected elastic moment tensor represents the ...
متن کاملMinimal energy for elastic inclusions
We consider a variant of the isoperimetric problem with a nonlocal term representing elastic energy. More precisely, our aim is to analyse the optimal energy of an inclusion of fixed volume whose energy is determined by surface and elastic energy. This problem has been studied extensively in the physical/metallurgical literature; however, the analysis has mainly been either (i) numerical, or (i...
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: Journal de Mathématiques Pures et Appliquées
سال: 2009
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2009.01.006