QUATERNION METHOD OF REGULARIZING INTEGRAL-EQUATIONS OF THE THEORY OF ELASTICITY

Using quaternions [1], a new method of regularizing integral equations of the theory of elasticity is proposed which is identical for plane and spatial problems. The regularizors and the regularized equations are presented. The method does not use the theory of a symbol, as was done earlier [2-4], or the transition to the complex form [5]. The quaternion technique has not been applied so far to integral equations of the theory of elasticity but has been used to obtain the general solutions of Lame's equations.