Abstract
It is shown that in an infinite prism the linearization at a natural state of a family of Ericksen’s semi-inverse solutions is a combination of elementary St.-Venant solutions, namely, extension bending and torsion. Moreover, the span of these St. Venant solutions is precisely the linear manifold of solutions having locally uniformly bounded strain energy. This implies that any solution of a linearized problem in a finite prism continuable to a solution in the infinite prism in a manner that its energy on any portion of fixed length remains bounded, is an elementary St.-Venant solution.
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