Titlebook: Continuum Mechanics; I-Shih Liu Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 constitutive relations.continuum mechanics.entropy.en

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Balance Laws,⊂ B and the vector field n, the outward unit normal to the boundary of the region Pt in the current configuration. The quantities Ψ and σΨ are tensor fields of certain order m, and σΨ is a tensor field of order m + 1, say m = 0 or m = 1, so that σ is a scalar or vector quantity, and, respectively, σ

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Basic Principles of Constitutive Theories,acterize the behavior of material bodies, because physical experiences have shown that two bodies of exactly the same size and shape, in general, will not have the same behavior when they are subjected to exactly the same environment (external supplies and boundary conditions). For example, the same

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Representation of Constitutive Functions,icular, with respect to an undistorted configuration, the constitutive functions of an isotropic material are isotropic functions. The main difficulty in finding representations for constitutive functions lies in the fact that they generally depend on the past values of thermomechanical histories. F

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Elementary Tensor Analysis,mechanics. The reader is expected to be familiar with some notions of vector spaces or matrix algebra. In the first part, we shall review some basic notions of vector spaces and linear transformations. At the same time, elementary properties of tensors as well as tensor notations will be introduced.

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1439-2674 recent developments in ther­ modynamic theories are considered. Specifically, they emphasize the use of Lagrange multipliers, which enables the exploitation of the entropy principle in a systematic manner for 978-3-642-07702-9978-3-662-05056-9Series ISSN 1439-2674

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Textbook 2002d inflation of a rubber balloon, are discussed. In the last two chapters of the book, some recent developments in ther­ modynamic theories are considered. Specifically, they emphasize the use of Lagrange multipliers, which enables the exploitation of the entropy principle in a systematic manner for

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Frequenzverhaltennde Kenngrößen (Vierpolparameter, Grenzfrequenzen). Eine bequeme, anschauliche Darstellung der Frequenzgänge bieten ferner Ersatzschaltungen, sowohl die formalen (Abschn. 12) als auch solche, die unmittelbar die physikalischen Vorgänge im Transistor mit Hilfe einer Analogie in die Sprache des Elektrotechnikers übersetzen (s. Abschn. 15).

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