Titlebook: Mathematical Modelling of Continuum Physics; Angelo Morro,Claudio Giorgi Book 2023 The Editor(s) (if applicable) and The Author(s), under

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978-3-031-20816-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Mixturesematical model, each point in the mixture may be occupied by all of the substances simultaneously. If the chemical structure of a substance changes when it enters the mixture then the mixture is said to be chemically reacting.

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2164-3679 ide range of constitutive models for non-simple materialsThis monograph provides a comprehensive and self-contained treatment of continuum physics, illustrating a systematic approach to the constitutive equations for wide-ranging classes of materials.? Derivations of results are detailed through car

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Kinematicshe description of material properties in terms of time derivatives. Transport relations are obtained for convecting (or non-convecting) sets and hence basic properties are established for the derivation of local balance equations and jump conditions for discontinuous fields.

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Balance Equationsharacter. The balance of entropy is made formal by assuming that the entropy rate, deprived of the divergence of an entropy flux and of an entropy supply, is non-negative. Next, balance equations are established for electromagnetism in deformable bodies. Jump relations are derived for balance properties across singular surfaces.