Summary
The jump conditions for mass, momentum and energy across a propagating singularity surface are derived for a theory of mixtures developed for application to bonded composite materials. The jump conditions provide equations necessary for the study of shock and acceleration waves, and are also used to deduce the boundary conditions for the theory.
Zusammenfassung
Die Sprungbedingungen für Masse, Impuls und Energie an einer sich ausbreitenden Singularitätenfläche einer, zur Anwendung auf Verbundwerkstoffen entwickelten Theorie von Gemischen werden abgeleitet. Die Sprungbedingungen liefern zur Untersuchung von Stoß und Beschleunigungswellen benötigte Gleichungen, und sie werden zur Herleitung der Randbedingungen verwendet.
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References
Bedford, A., andM. Stern: A Multi-Continuum Theory for Composite Elastic Materials. Acta Mechanica14, 85–102 (1972).
Truesdell, C., andR. Toupin: The Classical Field Theories. Encyclopedia of Physics III/1. Berlin-Heidelberg-New York: Springer. 1965.
Eringen, A. C.: Mechanics of Continua. Wiley. 1967.
Ben-Amoz, M.: Investigation of Shock Propagation in Fibre-Reinforced Materials (forthcoming).
Gulati, K.: A Thermomechanical Theory of Composite Materials. Ph. D. Thesis. University of Texas at Austin, 1971.
Eringen, A. C.: Nonlinear Theory of Continuous Media. McGraw-Hill. 1962.
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Bedford, A. Jump conditions and boundary conditions for a multi-continuum theory for composite elastic materials. Acta Mechanica 17, 191–199 (1973). https://doi.org/10.1007/BF01183754
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DOI: https://doi.org/10.1007/BF01183754