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Analytical expressions of effective constants for a piezoelectric composite reinforced with square cross-section fibres

Otero J., Bravo-Castillero J., Guinovart-Diaz R., Rodriguez-Ramos R., Maugin G. A.

Archives of Mechanics

2003

Vol. 55, nr 4

357-371

The purpose of this paper is to present analytical expresiion of the effective elastic, piezoelectric and dielectric constants of reinforced piezoelectric composite materials with unidirectional fibers periodically distributed in a square matrix, as obtained by means of the "double asymptotic homogenization" method. The cross-section of the fibers is square. Each periodic cell of the medium is a binary piezoelectric composite wherein both phases are homogeneous piezoelectric materials with transversely isotropic properties. Comparison between the derived theoretical predictions of characteristic parameters and the existing experimental results shows a rather good agreement. The results obtained in the present paper were verified by means of the universal relations of Schulgasser. Numerical computation of the effective properties can be realized without difficulties.

Mode based hierarchical optical flow estimation

Otero J., Otero A., Sanchez L.

Machine Graphics and Vision

2001

Vol. 10, No. 4

489-501

In this paper, a robust estimation of the optical flow field that preserves the boundaries of the movement is shown. Arising from the techniques based on the Optical Flow Constraint (OFC), an estimation that takes several measures around a given pixel, discarding the erroneous ones, has been developed. This in done through performing a bidimensional clustering is conducted in the velocity space and not in the (slope, intercept) parameter space of the OFCs. Finally, a hierarchical implementation that has a lesser error when large displacements are present in the image is shown.