Abstract
To analyze problems of plane stress states when the material shows time-depending response, i.e. linear viscoelastic response, experimental procedures can be applied similar to photoelasticity. However, not only the mechanical, but also the optical rheological effects must be considered. Beside the isochromatic fringe pattern, the isoclinics are to be recorded over time. Obviously, recording the isoclinics is difficult and the reason of unavoidable incertainty and inaccuracy. On the other hand, the two different fringe patterns are to be evaluated separately by means of automatic digital image processing and the data to combine in order to determine the components of the stress-tensor according to algorithms, which are not appropriate to computer calculations. To avoid the difficulties, in order to obtain more reliable results and to save time for recording and evaluating the optical phenomena as well as computer capacity, a procedure will be described, which enables the principal stress components to be calculated, although the principal directions of the stress tensor, i.e. the isoclinics, are still unknown.
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List of References
Coleman, B.D. and Dill, E.H.: “Theory of induced birefringence in materials with memory”. J. Mech. Phys. Solids 19 (1971).
Born, M.: “Optik — Ein Lehrbuch der elektromagnetischen Lichttheorie”, 3. Auflage. Springer-Verlag, Berlin/Heidelberg/New York 1972.
Lull, B.: “Ein Beitrag zur Verschiebungs- und Spannungsermittlung in der profilebenen viskoelastischen Scheibe”. Beiträge zur Spannungs- und Dehnungsanalyse VII, Akad. Verlag, Berlin 1973.
Dill, E.H.: “Photoviscoelasticity”. Proc. 4th Symp. on Naval Struct. Mech. Pergamon Press Ltd., New York 1965.
Weber, H.: “Formulierung rheo-optischer Gesetze und deren Anwendung zur experimentellen Analyse ebener Spannungs- und Deformationszustände in Kunststoffteilen”. Abschlußbericht zu den DFG-Forschungsvorhaben WE 700/2–4, Universität Karlsruhe 1981.
Katona, M.G.: “Combo viscoplasticity: An introduction with incremental formulation”. Computers and Structures, Vol. II. Pergamon Press Ltd., New York 1980.
Bakic, A.: “Über die rechnerische und experimentelle Bestimmung des Spannungszustandes in elastisch gebetteten Scheiben unter Berücksichtigung viskoelastischen Materialverhaltens”. Diss. Berg. Universität - GH Wuppertal, Wuppertal 1984.
Hartmann, F.: “Methode der Randelemente”. Springer-Verlag, Berlin/Heidelberg/New York/London/Paris/Tokyo 1987.
Smirnow, W.I.: “Lehrgang der Höheren Mathematik”, Teil IV. VEB Deutscher Verlag d. Wissenschaften, Berlin 1975.
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© 1991 Springer-Verlag Berlin, Heidelberg
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Laermann, K.H. (1991). On a Hybrid Method to Analyse Viscoelastic Problems. In: Brüller, O.S., Mannl, V., Najar, J. (eds) Advances in Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48890-0_36
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DOI: https://doi.org/10.1007/978-3-642-48890-0_36
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