Overview
- Editors:
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Lukas Schneider
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FG Energie- und Kraftwerkstechnik, TU Darmstadt, Darmstadt, Germany
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Kolumban Hutter
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Zürich, Switzerland
- Addresses a continuum mechanical formulation of structured solid-fluid mixtures for elasto-viscous-frictional materials
- Suitable for particle laden and dense solid-fluid flows under small to catastrophic motions
- Includes supplementary material: sn.pub/extras
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Table of contents (9 chapters)
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Front Matter
Pages i-xxiii
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- Lukas Schneider, Kolumban Hutter
Pages 1-14
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- Lukas Schneider, Kolumban Hutter
Pages 15-27
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- Lukas Schneider, Kolumban Hutter
Pages 29-53
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- Lukas Schneider, Kolumban Hutter
Pages 55-73
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- Lukas Schneider, Kolumban Hutter
Pages 75-89
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- Lukas Schneider, Kolumban Hutter
Pages 91-122
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- Lukas Schneider, Kolumban Hutter
Pages 123-152
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- Lukas Schneider, Kolumban Hutter
Pages 153-187
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- Lukas Schneider, Kolumban Hutter
Pages 189-195
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About this book
Mixture concepts are nowadays used in a great number of subjects of the - ological, chemical, engineering, natural and physical sciences (to name these alphabetically) and the theory of mixtures has attained in all these dis- plines a high level of expertise and specialisation. The digression in their development has on occasion led to di?erences in the denotation of special formulations as ‘multi-phase systems’ or ‘non-classical mixtures’, ‘structured mixtures’, etc. , and their representatives or defenders often emphasise the di?erences of these rather than their common properties. Thismonographisanattempttoviewtheoreticalformulationsofprocesses which take place as interactions among various substances that are spatially intermixedandcanbeviewedtocontinuously?llthespacewhichtheyoccupy as mixtures. Moreover, we shall assume that the processes can be regarded to becharacterisedbyvariableswhichobeyacertaindegreeofcontinuityintheir evolution, so that the relevant processes can be described mathematically by balance laws, in global or local form, eventually leading to di?erential and/or integralequations,towhichtheusualtechniquesoftheoreticalandnumerical analysis can be applied. Mixtures are generally called non-classical, if, apart from the physical laws (e. g. balances of mass, momenta, energy and entropy), also further laws are postulated,whicharelessfundamental,butmaydescribesomefeaturesofthe micro-structure on the macroscopic level. In a mixture of ?uids and solids – thesearesometimescalledparticleladensystems–thefractionofthevolume that is occupied by each constituent is a signi?cant characterisation of the micro-structure that exerts some in?uence on the macro-level at which the equations governing the processes are formulated. Forsolid-?uid mixtures at high solids fraction where particle contact is essential, friction between the particles gives rise to internal stresses, which turn out to be best described by an internal symmetric tensor valued variable.
Editors and Affiliations
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FG Energie- und Kraftwerkstechnik, TU Darmstadt, Darmstadt, Germany
Lukas Schneider
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Zürich, Switzerland
Kolumban Hutter
