A hypercomplex method of calculating stresses in three-dimensional bodies. (English) Zbl 0569.73017

The authors examine the use of quaternions to represent the solution of boundary value problems in three-dimensional linear elasticity. The procedures are based upon earlier dissertation research of both authors. A number of theorems are stated and proved, but no examples are given to demonstrate the method.
The paper is theoretical and as such it should be of interest and use to theoreticians concerned with boundary value problems and solution procedures.
Reviewer: R.L.Houston


74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
30G35 Functions of hypercomplex variables and generalized variables