Spline-Interpolation Solution of Elasticity Theory Problems

Abstract

A spline-interpolation solution of static and dynamic elasticity theory problems is suggested. The method allows to solve the problems for solids with plane sections parallel to the plane XOY. We reduce space and dynamic problems to the series of plane boundary-value problems. The recursive formulas are obtained to determine the spline coefficients. The convergence of the constructed approximate solutions to the exact solutions is proved.

Keywords

• spline interpolation
• elasticity theory
• dynamic problem
• polyharmonic functions