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Solid-Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context - Based on a Concise Thermodynamic Analysis (Paperback, 2009 ed.)
Loot Price: R2,873
Discovery Miles 28 730
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Solid-Fluid Mixtures of Frictional Materials in Geophysical and Geotechnical Context - Based on a Concise Thermodynamic Analysis (Paperback, 2009 ed.)
Series: Advances in Geophysical and Environmental Mechanics and Mathematics
Expected to ship within 10 - 15 working days
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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
'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. 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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