Biomedical subjects

D Vandembroucq

Publications and source records attributed to D Vandembroucq.

3 recordsLinked to original sources

PubMed2006

Second-order variation in elastic fields of a tensile planar crack with a curved front.

We derive the second-order variation in the local static stress intensity factor of a tensile crack with a curved front. We then discuss the relevance of this result to the stability analysis of such fronts, and propose an equation of motion of planar crack fronts in heterogeneous media that contains two main ingredients--irreversibility of the propagation of the crack front and nonlinear effects.

Journal Article↗

PubMed2001

Electromagnetic wave scattering from conducting self-affine surfaces: an analytic and numerical study.

We derive an analytical expression for the scattering of an s-polarized plane wave from a perfectly conducting self-affine one-dimensional surface in the framework of the Kirchhoff approximation. We show that most of the results can be recovered by means of a scaling analysis. We identify the typical slope taken over one wavelength as the relevant parameter controlling the scattering process. We compare our predictions with direct numerical simulations performed on surfaces of varying roughness parameters and confirm the broad range of applicability of our description up to very large roughness. Finally we verify that a nonzero electrical resistivity, provided that it is small, does not invalidate our results.

Journal Article↗

PubMed2000

Wave scattering from self-affine surfaces

Electromagnetic wave scattering from a perfectly reflecting self-affine surface is considered. Within the framework of the Kirchhoff approximation, we show that the scattering cross section can be exactly written as a function of the scattering angle via a centered symmetric Levy distribution for the general roughness amplitude, Hurst exponent and wavelength of the incident wave. Our prediction is supported by direct numerical simulations.

Journal Article↗