The problem of mathematical simulation of the origin and evolution of low-cycle fatigue cracks is quite actually for many high-loaded machines and units of power industry, aerospace engines, oil and gas pipelines and other structures operating under repeated loading. Successful prediction of low-cycle resource depends on solution of several interrelated problems: creation and development of structure model (loads, boundary conditions, materials model) that will adequately describe all aspects stress-strain history in the structures paths; creation plasticity and creep models adequate to the processes taking place during sing-alternating elastic-plastic deformation; the creation of lifetime fatigue failure rate criteria; and development of effective numerical simulation technique.

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Algorithms of solution of big sparse systems of linear algebraic equations based on Cholesky technique is released in program complex of analysis of stress-strain condition under cyclic elastoplastic loading by finite element method. Comparison of memory and computational resource efficiency of algorithms is carried out.

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