Titlebook: An Expedition to Continuum Theory; Wolfgang H. Müller Book 2014 Springer Science+Business Media Dordrecht 2014 Balance Laws.Constitutive R

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Balance Equations in Skew Curvilinear Coordinate Systems, total angular momentum, and specify them for cylindrical and spherical coordinates. As before we follow both ways and present the balances in index form as well as symbolically. The chapter ends with a discussion of the jump conditions and of global balances in arbitrary coordinates.

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Der thermodynamische Zeitpfeil, systems. In particular we will discuss Hooke’s law for the anisotropic and for the isotropic linear solid, the.–. law for viscous fluids, the thermal and the caloric equations of state for the ideal gas, the connection between the specific heats and the internal energy for simple solids according to.-., and.’s law for the heat flux vector.

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https://doi.org/10.1007/978-3-663-02202-2 boundary conditions. Last, but not least, we analyze a more complicated geometry, namely an elliptic hole in a plate subjected to biaxial tensile stress. In the limit of a vanishing half axis the hole degenerates into a pointed slit, the so-called G. crack.

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Die Physik, ihre Aufgaben und Methoden,d by application of the . fluid model, which accounts for memory effects. Further examples of gas dynamics in spherical coordinates include expanding and contracting stars as well as the whole universe, which are modeled by means of classical continuum theory.

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,Laboratorium für Radioaktivität,ons for perfect radial symmetry, which have been established in the previous chapters on spherical coordinates. The second part of this section is dedicated to a more formal treatment of time-independent plasticity where we derive and use the .-. equations.