Engineering Mechanics

Proceedings Vol. 17 (2011)

ENGINEERING MECHANICS 2011

Copyright © 2011 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Žmindák M., Novák P., Eisner I.
pages 699 - 702, full text

In our contribution we will show how the Trefftz Radial Basis Functions (TRBF), i.e. RBF satisfying the governing equations can be used to increase the efficiency of modeling of such problems like composites reinforced by finite length fibres with large aspect ratio. Special attention will be given to application of the TRBF in the form of dipoles to the simulation of composite reinforced by fiber. The source functions (forces and dipoles) are continuously distributed along the fibre axis (i. e. outside of the domain, which is the domain of the matrix) and their intensities are modelled by 1D quadratic elements long the axis in order to satisfy continuity conditions between matrix and fibre. Obtained results are compared with FEM solutions obtained using own ICS FEM software.

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