National Repository of Grey Literature 5 records found  Search took 0.01 seconds. 
Implementation of a sparse direct solver for large linear systems
Pařík, Petr
This article describes the implementation of an effective sparse direct solver for large finite element problems. The fundamental parts of the solver--the renumbering method and the matrix storage scheme--are explained in detail. A comparison with another direct solver based on the frontal method is also included.
Energeticky konjugované míry napětí a deformace v mechanice kontinua
Hrubý, Zbyněk ; Plešek, Jiří
The energy conjugate measures of stress and strain enter any constitutive relation for the material behaviour description. There are many strain measures in common use, several of them discussed in the text. The main aim of the contribution is to focus on the derivation of a general energy conjugate stress tensor corresponding with a general Lagrangean strain tensor.
Verifikace výsledků numerické dispersní analýzy na úloze rázu dvou elastických válců
Gabriel, Dušan ; Plešek, Jiří ; Kolman, Radek ; Valeš, František ; Okrouhlík, Miloslav ; Šraml, M.
The numerical dispersion of two-dimensional finite elements was studied. The outcome of this dispersion study was verified by the numerical and analytical solutions to the longitudinal impact of two cylindrical bars. It was shown that the quadratic elements showed better accuracy than the linear ones.
Numerical test of dispersion behavirour of quadratic finite elements
Kolman, Radek ; Plešek, Jiří ; Okrouhlík, Miloslav
Numerical tests are run on the dispersion theory established for qudratic finite elements.
The velocities of acoustoelastic waves expressed interms of Hencky (logarithmic) strain tensor
Kruisová, Alena ; Plešek, Jiří
Velocities of the acoustoelastic waves in prestress contiuum were derived from the material model bassed on the Hencky logarithmic strain tensor. It was proved that the new material model and the derived formulas for wave velocities possess better stability properties than the standard ones.

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