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Elements of Continuum Mechanics and Conservation Laws (Paperback, Softcover reprint of hardcover 1st ed. 2003)
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Elements of Continuum Mechanics and Conservation Laws (Paperback, Softcover reprint of hardcover 1st ed. 2003)
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Elements of Continuum Mechanics and Conservation Laws presents a
systematization of different models in mathematical physics, a
study of the structure of conservation laws, thermodynamical
identities, and connection with criteria for well-posedness of the
corresponding mathematical problems.
The theory presented in this book stems from research carried out
by the authors concerning the formulations of differential
equations describing explosive deformations of metals. In such
processes, elasticity equations are used in some zones, whereas
hydrodynamics equations are stated in other zones. Plastic
deformations appear in transition zones, which leads to residual
stresses. The suggested model contains some relaxation terms which
simulate these plastic deformations. Certain laws of thermodynamics
are used in order to describe and study differential equations
simulating the physical processes. This leads to the special
formulation of differential equations using generalized
thermodynamical potentials.
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