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Modeling and simulations for quasistatic frictional contact of a linear 2D bar

Barboteu M., Djehaf N., Shillor M., Sofonea M.

Journal of Theoretical and Applied Mechanics

2017

Vol. 55 nr 3

897--910

This work considers a mathematical model that describes quasistatic evolution of an elastic 2D bar that may come in frictional contact with a deformable foundation. We present the model and some of its underlying assumptions. In particular, the novelty in the model is that both vertical and horizontal motions are taken into account, which makes it especially useful when frictional contact is concerned. Contact is described with the normal compliance condition and friction with the Coulomb law of dry friction. We introduce a hybrid variational formulation of the problem and a numerical discretization based on a uniform time step and the finite element method in space. The numerical algorithm has been implemented, and we present computer simulations that illustrate the mechanical behavior of the system with emphasis on frictional aspects of the problem.

Cellular structure of detonation wave for hydrogenmethane-air mixtures

Porowski R., Teodorczyk A.

Materiały Wysokoenergetyczne

2009

T. 1

30--41

Paper presents a computational study of the fundamental detonation parameters of stoichiometric hydrogen-methane-air mixtures based on Chapman-Jouguet theory, ZND model and detonation wave cell size calculations. Detonation wave of gaseous fuel-air mixture has a multidimensional cellular structure consisting of cellular pattern that could be experimentally determined using smoked foil. The width of detonation cell correlates with several detonation dynamic parameters, e.g. initiation energy or critical tube diameter, and also reflects the stability of detonation wave. Methane-hydrogen mixture is used at different combustion devices like spark ignited engines, gas turbines, different kind of burners with premixed and diffusion flames. Series of calculations on detonation parameters of stoichiometric hydrogen-methane-air mixtures were made with different H2 contents in the mixture, from 10% up to 100% of hydrogen. The effects of the initial composition of the mixtures as well as initial pressure on the detonation velocity and cell size were investigated.