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Books > Professional & Technical > Mechanical engineering & materials > Materials science > Testing of materials
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Thermodynamics of Materials with Memory - Theory and Applications (Paperback, 2012 ed.)
Loot Price: R3,206
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Thermodynamics of Materials with Memory - Theory and Applications (Paperback, 2012 ed.)
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This is a work in four parts, dealing with the mechanics and
thermodynamics of materials with memory, including properties of
the dynamical equations which describe their evolution in time
under varying loads. The first part is an introduction to Continuum
Mechanics with sections dealing with classical Fluid Mechanics and
Elasticity, linear and non-linear. The second part is devoted to
Continuum Thermodynamics, which is used to derive constitutive
equations of materials with memory, including viscoelastic solids,
fluids, heat conductors and some examples of non-simple materials.
In part three, free energies for materials with linear memory
constitutive relations are comprehensively explored. The new
concept of a minimal state is also introduced. Formulae derived
over the last decade for the minimum and related free energies are
discussed in depth. Also, a new single integral free energy which
is a functional of the minimal state is analyzed in detail.
Finally, free energies for examples of non-simple materials are
considered. In the final part, existence, uniqueness and stability
results are presented for the integrodifferential equations
describing the dynamical evolution of viscoelastic materials. A new
approach to these topics, based on the use of minimal states rather
than histories, is discussed in detail. There are also chapters on
the controllability of thermoelastic systems with memory, the
Saint-Venant problem for viscoelastic materials and on the theory
of inverse problems.
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