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Publikováno v:
Applied Mathematical Modelling. 46:382-395
The B-spline variant of the finite element method (FEM) is tested in one-dimensional discontinuous elastic wave propagation. The B-spline based FEM (called Isogeometric analysis IGA) uses spline functions as testing and shape functions in the Galerki
Publikováno v:
Engineering Mechanics.
Publikováno v:
International Journal for Numerical Methods in Engineering. 106:113-128
Publikováno v:
Wave Motion. 51:348-359
We present the results of one-dimensional complex wavenumber Fourier analysis of the B-spline variant of Finite Element Method (FEM). Generally, numerical results of elastic wave propagation in solids obtained by FEM are polluted by dispersion and at
Publikováno v:
International Journal for Numerical Methods in Engineering. 96:1-28
SUMMARY The spatial discretisation of a continuum by the FEM introduces dispersion errors to the numerical solution of stress wave propagation. Errors of phase and group velocities and the scatter of wave propagation are induced. When these propagati
Autor:
M. Okrouhlík
Publikováno v:
International Journal of Mechanical Engineering Education. 41:44-71
Using a simple physical model, i.e. propagation of stress waves in a thin elastic rod, we can show how the equivalent finite-element (FE) model can be treated by various methods (the central difference method, and the Newmark and Houbolt methods) to
Autor:
M. Okrouhlík
Publikováno v:
International Journal of Mechanical Engineering Education. 40:346-352
The paper considers the meaning of stress and of other mechanical variables that are consensually defined and cannot be described or measured directly. Further, the stress tensor symmetry is discussed.
Autor:
M. Okrouhlík, Bengt Lundberg
Publikováno v:
International Journal of Impact Engineering. 32:1573-1583
The efficiency of churn drilling was studied with consideration of wave energy radiation into the rock. In this percussive drilling process, a hammer with cutters on its front subjects the rock to direct impact. A 3D elastic finite element model was
Autor:
Svatopluk Ptak, M. Okrouhlík
Publikováno v:
Engineering Computations. 20:601-610
Notes that what applied scientists in classical continuum mechanics are doing is based on knowledge established by Newton, Cauchy, Euler, Rayleigh and others, and no really fundamental laws or principles in continuum mechanics have been “discovered