The integral equation formulation of mixed finite time-dependent elastic problems

Abstract This paper establishes through a concrete example that the integral equation formulation of time-dependent mixed boundary value problems can be extended for problems in the theory of elasticity. To this end, the method applied to the resulting integral equation is the one begun by Cherski [1] and evolved by Eckhardt and El Sheikh [2] still further to solve intial mixed boundary value problems. New relationships between the fundamental coefficients characterizing the technique are obtained. These simplify the procedures and reveal more of the nature of the method.