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Numerické simulace náhrad kolenního kloubu - dynamická kontaktní úloha se třením
Lanzendörfer, Martin
We shortly report on our endeavour after a numerical analysis of the biomechanical conditions in the human knee joint. We present here the mathematical model of a dynamical contact problem with friction in linear elasticity. A simple time discretisation by semi-implicit scheme is described and the algebraic saddle point problem resulting from the FEM discretisation is shown. The model should help us to simulate the function of natural human joint and/or the artificial prosthesis in the context of a dynamically loaded sceleton.
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Deformation of surface ground induced by process of inundation of worked-out areas after termination of underground mining exploitation
Hortvík, Karel
The liquidation of mine exploiting is accompanied by termination of mine water pumping. The inundation of space formations, which were dewatered during mining of deposit due to technological reasons, will provoke disturbing of the existing stress-strain conditions in rock massif, which hitherto have been in an equilibrium state. By acting of upward hydrostatic pressure of ground water on rock massif a relieving of existing stress condition will occur by which the deformation changes in rock massif would be induced. These changes will be manifested depending on magnitude of anthropogenic disturbance of rock massif and on scope of inundation also in surface ground in form of its upheaval.
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Study of mechanics as a search for interrelations
Höschl, Cyril
Author presents examples of analogous problems from various fields of mechanics of elastic solids which are solved using an identical mathematical model. Paper deals also with discrepancies between solutions obteined either by analytical or numerical methods. By the use of functional analysis, an interrelation is found between methods of solution of discrete and continuum models. The limitations of the linear theory of elsticity are discussed.
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