Titlebook: Mathematical Methods in Continuum Mechanics of Solids; Martin Kružík,Tomáš Roubíček Textbook 2019 Springer Nature Switzerland AG 2019 Cont

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https://doi.org/10.1007/978-3-030-02065-1Continuum Mechanics of Solids; Mathematical Methods in Continuum Mechanics of Solids; Thermodynamics; C

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978-3-030-02064-4Springer Nature Switzerland AG 2019

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Mathematical Methods in Continuum Mechanics of Solids978-3-030-02065-1Series ISSN 1860-6245 Series E-ISSN 1860-6253

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Description of Deformable Stressed Bodiesntifies a new “shape” of the specimen. Often one can identify an original (reference) configuration of the material. While such configuration is suitable for mathematical considerations because it is fixed, physically relevant is the deformed configuration because there one can measure forces caused

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General Hyperelastic Materials: Existence/Nonexistence Results construct and the theory developed allows us to incorporate important physical requirements into the model. On the other hand, polyconvexity is only a sufficient condition for weak lower semicontinuity and one can ask what is a necessary condition. In this chapter, we touch these problems, show a c

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Linear Rheological Models at Small Strains arise in sudden change of external load (in solids) or, conversely, in a long lasting constant load (like in fluids), or in combination of both. The distinction between solids and fluids is, from the purely mechanical viewpoint, not much lucid. For example, in geophysics, rocks are considered as fl