On the Symmetry Importance in a Relative Entropy Analysis for Some Engineering Problems by Marcin Kamiński

“…The basic probabilistic computational implementation has been delivered in the computer algebra system MAPLE 2019^®, whereas engineering illustrations have been prepared with the use of the Finite Element Method systems Autodesk ROBOT^® & ABAQUS^®. …”
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Computer Simulation of Stochastic Energy Fluctuations in Tensile Test of Elasto-Plastic Porous Metallic Material by Marcin Kamiński, Michał Strąkowski

“…The metal porous plasticity model applied here is based on Gurson−Tvergaard−Needleman theory and is included in the ABAQUS finite element system, while the external probabilistic procedures were programmed in the computer algebra system MAPLE 2017. Hybrid usage of these two computer systems enabled the determination of fluctuations in elastic and plastic energies due to initial variations in the ratio of the metal micro-voids, and the calculation of the first four probabilistic moments and coefficients of these energies due to Gaussian distribution of this ratio. …”
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Analytical and Numerical Reliability Analysis of Certain Pratt Steel Truss by Marcin Kamiński, Rafał Błoński

“…Structural analysis was completed in the finite element method system Autodesk ROBOT, and probabilistic analysis was implemented in the computer algebra software MAPLE. The stochastic finite element method (SFEM) was contrasted here with the Monte Carlo simulation and the girder span was selected as the input structural uncertainty source. …”
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An Application of Relative Entropy in Structural Safety Analysis of Elastoplastic Beam under Fire Conditions by Marcin Kamiński, Michał Strąkowski

“…The probabilistic structural response is found here using hybrid computational technique–the Finite Element Method system ABAQUS with its fully coupled thermo-elastic analysis with 3D solid elements and probabilistic modules implemented in the computer algebra system MAPLE. The probabilistic response is determined via a triple stochastic analysis, which is based on the classical Monte-Carlo simulation, iterative generalized stochastic perturbation technique, and also using semi-analytical probabilistic calculus. …”
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Relative Entropy Application to Study the Elastoplastic Behavior of S235JR Structural Steel by Marcin Kamiński, Michał Strąkowski

“…The entire computational implementation will be delivered using the finite element method system ABAQUS and computer algebra program MAPLE, where relative entropies, as well as polynomial response functions, will be determined. …”
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Numerical Simulation of Some Steel Structural Elements with Uncertain Initial Porosity by Marcin Kamiński, Michał Strąkowski

“…An interoperability of the computer algebra system MAPLE 2019 and the finite element method system ABAQUS was employed to study the influence of the initial microvoids f₀ with uncertainty in the structural steel on the statistical scattering of the resulting stresses and deformations. …”
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