Abstract
This paper presents a computational algorithm allowing the efficient use of high-performance computing resources to solve nonlinear problems of continuum mechanics using FEM. The algorithm is suitable for solving static problems and tasks of estimating lifetime of structures in cases where the load is defined by the load spectrum. The complexity of the problem increases significantly in the case of nonlinear problems. The principle of the stress superposition cannot be used in that case. For each loading mode a separate FE analysis must be made. A quick and efficient procedure for evaluating the results of mentioned analysis for the static calculation as well as for the estimated life calculation is also presented in this paper. In the presented examples the contact of bodies is used as a source of nonlinearity. The size, shape or position of the contact area is not possible to estimate in contact of bodies. These types of problems are thus highly nonlinear. Programs for the presented algorithms are processed in the program package OCTAVE and calculations using FEM are made in the software ADINA.
Highlights
Finite element method (FEM) is most commonly used in continuum mechanics for the analysis of stress state
Solving the estimated life of the structure requires an analysis of the state of stress for the given load spectrum which has a relatively low number of loads and a relatively high number of loading states
Such a load spectrum is usually defined by the time course of the dynamic load and it may have the character of accidental load
Summary
Finite element method (FEM) is most commonly used in continuum mechanics for the analysis of stress state. For static tasks solution it is mostly necessary to analyze stress state for a relatively small number of load spectrum (about tens of load states – lines of the load spectrum). Solving the estimated life of the structure requires an analysis of the state of stress for the given load spectrum which has a relatively low number of loads (force, moment, pressure) and a relatively high number of loading states. Such a load spectrum is usually defined by the time course of the dynamic load and it may have the character of accidental load.
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