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Modélisation et simulation de la gravure chimique des monocristaux

Abstract : This thesis presents two approaches to 3D modelization of chemical crystal etching. Given the initial shape of a crystal and its physical properties, we can simulate the evolution of the crystal shape. The first method is a 3D extension of the geometric construction due to Wulff and Jaccodine. It is bases on experimental results. We show that a 3d vertex can be depicted by unions or intersections of half-spaces, each of them moving with its own velocity. This velocity only depends on the orientation of the half-space. Our second method is based on a new theoretical model. First, we caracterize C1 surfaces on which the points have a velocity only depending on the normal vector. Then we show that it is possible to approximate the shape of a polyhedral crystal by a C1 surface. To represent the crystal shape and the trajectories of its points, we use the notion of fiber spaces. We finally give an implementation, using actors, of the 2D method and show how it can be extended to 3D.
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Submitted on : Tuesday, February 24, 2004 - 9:40:26 AM
Last modification on : Friday, November 6, 2020 - 3:55:04 AM
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  • HAL Id : tel-00005029, version 1




Philippe Bochu. Modélisation et simulation de la gravure chimique des monocristaux. Autre [cs.OH]. Université Joseph-Fourier - Grenoble I, 1995. Français. ⟨tel-00005029⟩



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