Generalized Flexibility Method by the Example of Plane Elastoplastic Problem

The structures elastoplastic deformation process can be studied using the finite elements method (FEM). However, to perform reliable, adequate and real calculations of structures, it is necessary to create large finite element models and to use large-scale software systems for their analysis. Thousands or tens of thousands of equations are involved in it. These calculations take much time. Application of the flexibility method developed on the bases of generalized Mohr formula (generalized flexibility method) allows to create numerical algorithms for elastoplastic calculation of framed structures and to obtain adequate results with no significant processor and time consumption. As a result, a number of preparatory operations increases, however, a number of algebraic equations at each step equals to the number of framed structures indetermination only.

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