This article is concerned with expressing the kinematics of a bimaterial-bonded interface in terms of strains in the three-dimensional case. It is shown that the continuity of displacements can be replaced by the requirement that the change in principal curvatures, the mean geodesic torsion, and the interior strains be matched across the interface. The reduction of these conditions for a two-dimensional bonded interface is also discussed.
Get full access to this article
View all access options for this article.
References
1.
[1] Gurtin, M. E.: The Linear Theory of Elasticity, Handbuch der Physik, Vol. VI a/2, Springer-Verlag, Berlin, 1972.
2.
[2] Sokolnikoff, I.S.: Mathematical Theory of Elasticity, Mc Graw-Hill, New York, 1956.
3.
[3] Dundurs, J.: Cavities vis-a-vis rigid inclusions and some related general results in plane elasticity. ASME Journal of Applied Mechanics, 56, 786-790 (1989).
4.
[4] Markenscoff, X. and Wheeler, L.: On conditions at an interface between two materials in plane deformation. Journal of Elasticity, 45, 33-44 (1996).
5.
[5] Brand, L.: Vector and Tensor Analysis, John Wiley, New York, 1958.
