NUCLEI OF STRAIN AT 3-DIMENSIONAL BIMATERIAL INTERFACES

Citation
X. Markenscoff et W. Ye, NUCLEI OF STRAIN AT 3-DIMENSIONAL BIMATERIAL INTERFACES, Quarterly of applied mathematics, 56(1), 1998, pp. 191-200
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0033569X
Volume
56
Issue
1
Year of publication
1998
Pages
191 - 200
Database
ISI
SICI code
0033-569X(1998)56:1<191:NOSA3B>2.0.ZU;2-4
Abstract
When nuclei of strain approach the interface of two materials, the dis placement fields may not be unique and may depend on the direction fro m which the interface is approached. For example, the displacement fie lds of a center of dilatation at the interface of two materials are no t unique and depend on the direction of approach to the interface. To avoid misunderstanding, it can be stressed that each of the two fields is continuous at the interface. In this paper, we show that there are 12 independent displacement functions of second-order singularities u niquely defined at an interface. The limits of all other nuclei of str ain at the interface are linear combinations of these 12 independent d isplacement functions.