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Seismic model and geological interpretation of the basement beneath the Doupovske Hory Volcanic Complex (NW Czech Republic)

Valenta J., Broz M., Malek J., Mlcoch B., Rapprich V., Skacelova Z.

Acta Geophysica

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2011

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Vol. 59, no. 3

597-617

EN

The Doupovske Hory Volcanic Complex (DHVC) is the bestpreserved large volcanic suite of the Cenozoic intraplate volcanism in the Bohemian Massif. However, many uncertainties remain in the geological setting of its basement. In summer 2008, two seismic refraction profiles ran across this area to reveal the depth of the volcanic rocks and the underlying geological structure. A high-velocity body was detected beneath the central part of the DHVC at depths of about -500 m a.s.l., inclined to the NW at an angle of about 45°. This body is most likely formed by the basic and ultrabasic rocks (amphibolites, eclogites, serpentinites, metagabbros) of the Equivalent of the Marianske Lazne Complex (EMLC). Subvolcanic rocks of the DIC penetrating these basic and ultrabasic metamorphic rocks have very similar physical properties. Therefore, intrusive body of the Doupov Intrusive Complex (DIC) can be hardly distinguished from rocks of the EMLC by seismic refraction investigation.

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Stress concentration due to an elliptic hole in a degrading linearized elastic solid

Kulvait V., Malek J., Rajagopal K. R.

International Journal of Applied Mechanics and Engineering

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2010

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Vol. 15, no 1

35-49

EN

A computational analysis is carried out of boundary-value problems associated with a planar generalized linearized elastic solid body with an elliptic hole in it, with a fluid diffusing through the solid. This diffusion of fluid can either enhance or degrade the load carrying capacity of the body, based on how the material moduli of the solid depend on the concentration of the fluid, that is whether the presence of the fluid degrades or strengthens the material. We investigate the nature of the solution when the aspect ratio tends to zero, a problem relevant to the stress singularity at crack tips.

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Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis

Haslinger J., Malek J., Stebel J.

Control and Cybernetics

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2005

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Vol. 34, no 1

283-303

EN

We study a shape optimization problem for a paper machine headbox which distributes a mixture of water and wood fibers in the paper manufacturing process. The aim is to find a shape which a priori ensures the given velocity profile on the outlet part. The mathematical formulation leads to an optimal control problem in which the control variable is the shape of the domain representing the header, the state problem is represented by the generalised Navier-Stokes system with nontrivial boundary conditions. The objective of this paper is to prove the existence of an optimal shape.