Title
SolidFluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context: Based on a Concise Thermodynamic Analysis ,Used
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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 multiphase systems or nonclassical 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 nonclassical, if, apart from the physical laws (e. g. balances of mass, momenta, energy and entropy), also further laws are postulated,whicharelessfundamental,butmaydescribesomefeaturesofthe microstructure on the macroscopic level. In a mixture of ?uids and solids thesearesometimescalledparticleladensystemsthefractionofthevolume that is occupied by each constituent is a signi?cant characterisation of the microstructure that exerts some in?uence on the macrolevel at which the equations governing the processes are formulated. For solid?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.
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If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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