Mathematical model of analysis of structures in the case of local equilibrium processes

Generally, path-following algorithms have been used for the analysis of structures. Now, a new approach is presented for solving the problem by parametric optimization. The optimization problem is solved in a space which is the direct product of function spaces. The necessary conditions of the stationarity of a curve are examined. A method is presented for determining a particular piece of a continuous component of the stationarity curve depending on one parameter which transforms the problem into the space l².