Schlagwörter: räumlicher Spannungstensor, Tensortomographie, Interferometrie Der Beitrag stellt eine tomographische Methode zur Bestimmung der dreidimensionalen mechanischen Spannungsverteilung in transparenten, spannungsdoppelbrechenden Materialien vor. Die theoretischen Zusammenhänge des Verfahrens werden aufgezeigt und der experimentelle Aufbau erläutert. Dabei werden insbesondere auch die auftretenden meßtechnischen Herausforderungen beleuchtet. Optical tensor field tomography to investigate 3D stress distributionsIn this paper a tomographical method for the determination of 3D stress tensor fields in transparent photoelastic materials is presented. The theory of the method is explained and the experimental setup is shown. Problems which have to be coped with during the measurement are discussed in detail.

There are many well-known tomographic methods for the determination of physical quantities in a 2D or 3D space. Most of these quantities are scalar or vectorial. In this paper, a novel method is presented to determine a tensorial quantity in a 3D space: The determination of the 3D stress tensor and of the 3D refractive tensor in photoelastic materials is achieved by applying optical tensor field tomography. The theory of the projection is described, and the principles of two reconstruction algorithms are explained. The experimental setup is presented, and difficulties in measuring the projections are described. Finally, experimental results are shown.

A novel method for measuring arbitrary three-dimensional states of mechanical stress in photoelastic models is presented. The theory of tensor field tomography is described and an iterative reconstruction algorithm is given, which processes the projection data received by illuminating the model for several orientations. The method generally works well for limited amount of stress, which is demonstrated by simulations. An experimental setup is presented for measuring the required projection data. It is a combination of an extended Mach-Zehnder interferometer and a polariscope.

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