DERIVATION AND JUSTIFICATION OF A CURVED ROD MODEL
Mladen Jurak, Josip Tambača · Mathematical Models and Methods in Applied Sciences · 1999
A one-dimensional model of a curved rod is derived from the three-dimensional linearized elasticity. The model is obtained by taking the limit in the equilibrium equation of the three-dimensional elastic rod when the thickness of the rod goes to zero. The appropriate convergence result is proved.