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Lattice statics of interfaces and interfacial cracks in bimaterial solids

Published online by Cambridge University Press:  31 January 2011

V.K. Tewary  and
Robb Thomson
V.K. Tewary*
Affiliation:
Materials Reliability Division, National Institute of Standards and Technology, Boulder, Colorado 80303
Robb Thomson
Affiliation:
Laboratory for Materials Science and Engineering, National Institute of Standards and Technology, Gaithersburg, Maryland 20899
*
a)On attachment from The Ohio State University, Columbus, Ohio 43210.
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Abstract

A method for calculating lattice statics Green's function is described for a bimaterial lattice or a bicrystal containing a plane interface. The method involves creation of two half space lattices containing free surfaces and then joining them to form a bicrystal. The two half space lattices may have different structures as in a two-phase bicrystal or may be of the same type but joined at different orientations to form a grain boundary interface. The method is quite general but, in this paper, has been applied only to a simple model bicrystal formed by two simple cubic lattices with nearest neighbor interactions. The bimaterial Green's function is modified to account for an interfacial crack that is used to calculate the displacement field due to an applied external force. It is found that the displacement field, as calculated by using the lattice theory, does not have the unphysical oscillations predicted by the continuum theory.

Type
Articles
Information
Journal of Materials Research , Volume 7 , Issue 4 , April 1992 , pp. 1018 - 1028
Copyright
Copyright © Materials Research Society 1992

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