The deformation of a rod is given by a diffeomorphism from the set . The function ln appears as measure of deformation. The function is solution to a second order ordinary differential equation with the second boundary condition . By an open - and - closed argument we show that the set of those for which the boundary problem is uniquely solvable, is all .
Cite this article
Arno Langenbach, Über ein eindimensionales Modell der finiten Elastostatik. Z. Anal. Anwend. 10 (1991), no. 2, pp. 183–192DOI 10.4171/ZAA/440