Journal of Theoretical
and Applied Mechanics

16, 1, pp. 89-100, Warsaw 1978

Iteracyjna metoda obliczania dowolnych ciał odkształcalnych w zakresie liniowo sprężystym

Józef Wranik
In the present work a certain general iteration method is described applicable to arbitrary linear elastic bodies with a positive definite strain energy function and to some other mathematical problems. The considered iteration method, as applied to deformable bodies, consists in replacing the given body by an auxiliary one, and then solving consecutively the auxiliary system with loads changing in the iterative procedure. In the solution infinite series of stress and deformation vectors are constructed. A certain similarity of the present method to the perturbation and force methods is pointed out.