Two Dimensional Green's Function for Anisotropic Bimaterials with Imperfect Interface
Les Sudak (University of Calgary)
SES Medal Symposium in honor of D.J. Steigmann
Mon 9:00 - 10:30
MacMillan 115
A general method is presented for the rigorous solution for the two-dimensional Green's function for an anisotropic elastic bimaterial subject to a line force or a line dislocation. Using complex variable techniques the basic boundary value problem for two analytic vector functions is reduced to a coupled linear first-order differential equation for a single analytic vector function defined in the lower half space. The coupled linear differential equation for the single analytic vector function can be subsequently decoupled into three independent linear first-order differential equations for three newly defined analytic functions. Closed-form solutions for the two-dimensional Green's function are derived. Unlike previous works which involve inverse transform methods to obtain the physical quantities, the key feature of the present method is that the physical quantities can be readily calculated without the need to perform any inverse transform operations.