Garbayo, E.; Puigví, M. A. Local uniqueness in the elastic equilibrium (longitudinal rods with nonlinear laws). (Spanish. English summary) Zbl 0581.73007 Collect. Math. 35, 167-174 (1984). Uniqueness of the equilibrium solution can be guaranteed for conservative rods provided that the external loads are sufficiently close to those of some initial (i.e. reference) configuration. This implies that, wherever the loads belong in such domain, branching phenomena will not take place. MSC: 74G30 Uniqueness of solutions of equilibrium problems in solid mechanics 74H25 Uniqueness of solutions of dynamical problems in solid mechanics 74K10 Rods (beams, columns, shafts, arches, rings, etc.) Keywords:no branching; equilibrium solution; conservative rods; external loads are sufficiently close to those of some initial (i.e. reference) configuration PDFBibTeX XMLCite \textit{E. Garbayo} and \textit{M. A. Puigví}, Collect. Math. 35, 167--174 (1984; Zbl 0581.73007) Full Text: EuDML