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

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书目名称Continuum Mechanics
编辑I-Shih Liu
视频video
概述This book is particularly suited as an introductory text.It contains an extended appendix that summarizes underlying mathematical tools, as well as numerous exercises and examples.Includes supplementa
丛书名称Advanced Texts in Physics
图书封面Titlebook: Continuum Mechanics;  I-Shih Liu Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 constitutive relations.continuum mechanics.entropy.en
描述In this book the basic principles of continuum mechanics and thermodynam­ ics are treated in the tradition of the rational framework established in the 1960s, typically in the fundamental memoir "The Non-Linear Field Theories of Mechanics" by Truesdell and Noll. The theoretical aspect of constitutive theories for materials in general has been carefully developed in mathemati­ cal clarity - from general kinematics, balance equations, material objectivity, and isotropic representations to the framework of rational thermodynamics based on the entropy principle. However, I make no claim that the subjects are covered completely, nor does this book cover solutions and examples that can usually be found in textbooks of fluid mechanics and linear elasticity. However, some of the interesting examples of finite deformations in elastic materials, such as biaxial stretching of an elastic membrane and 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
出版日期Textbook 2002
关键词constitutive relations; continuum mechanics; entropy; entropy principle; materials science; rational ther
版次1
doihttps://doi.org/10.1007/978-3-662-05056-9
isbn_softcover978-3-642-07702-9
isbn_ebook978-3-662-05056-9Series ISSN 1439-2674
issn_series 1439-2674
copyrightSpringer-Verlag Berlin Heidelberg 2002
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https://doi.org/10.1007/978-3-322-99158-4 All mathematical symbols are set in . Generally, scalars are represented by letters (a, b,α,....) of normal typeface, vectors by lowercase boldface letters (., .,....), and tensors by uppercase letters (.,.....). The identity tensor is represented by . (italic “one”).
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https://doi.org/10.1007/978-3-322-99155-3 not have the same behavior when they are subjected to exactly the same environment (external supplies and boundary conditions). For example, the same force will not produce the same elongation on wires of rubber and aluminum of the same diameter and length.
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https://doi.org/10.1007/978-3-322-99155-3 in finding representations for constitutive functions lies in the fact that they generally depend on the past values of thermomechanical histories. Fortunately, in most practical problems, long-range memory effects are mostly irrelevant.
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Elementary Tensor Analysis, All mathematical symbols are set in . Generally, scalars are represented by letters (a, b,α,....) of normal typeface, vectors by lowercase boldface letters (., .,....), and tensors by uppercase letters (.,.....). The identity tensor is represented by . (italic “one”).
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https://doi.org/10.1007/978-3-322-99154-6or implicitly. We will usually think of a frame of reference as an “observer”. Different observers will measure space-time events in different ways. The relation between two different frames of reference will be discussed later.
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Kinematics,or implicitly. We will usually think of a frame of reference as an “observer”. Different observers will measure space-time events in different ways. The relation between two different frames of reference will be discussed later.
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