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Titlebook: Handbook of Continuum Mechanics; General Concepts The Jean Salençon Textbook 2001 Springer-Verlag Berlin Heidelberg 2001 Analysis.continuum

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书目名称Handbook of Continuum Mechanics
副标题General Concepts The
编辑Jean Salençon
视频video
概述Outstanding approach from the Ecole Polytechnique‘s educational program.High mathematical level of teaching.The most complete book ever.Abstracts, summaries, formula boxes, exercises with solution inc
图书封面Titlebook: Handbook of Continuum Mechanics; General Concepts The Jean Salençon Textbook 2001 Springer-Verlag Berlin Heidelberg 2001 Analysis.continuum
描述The scale that concerns the practitioner in mechanics is usually qualified as macroscopic. Indeed, applications are rarely much below the human scale, and in order to be relevant models must be constructed on a similar scale, several orders of magnitude greater than the objects that are normally attributed to the physicist‘s sphere of interest. The mechanicist is therefore aware of the limits of these models, no matter how elegant their mathematical formulation may be, when the time comes far experimental validation. The mechanicist has a deep concern for the microscopic phenomena at the heart of what is being modelled, exposed by the physicist‘s research, which can today explain a wide range of material behaviour. The aim of this book is to present the general ideas behind continuum mechanics, thermoelasticity and one-dimensional media. Our approach to constructing mechanical models and modelling forces is based upon the principle oi virtual work. There are several advantages to thismethod. To begin with, it clearly emphasises the key role played by geometrical modelling, leading to mechanically consistent presentations in a systematic way. In addition, by requiring rigorous thoug
出版日期Textbook 2001
关键词Analysis; continuum mechanics; mechanics; modeling; operator; statics; structural analysis; structure
版次1
doihttps://doi.org/10.1007/978-3-642-56542-7
isbn_softcover978-3-642-62556-5
isbn_ebook978-3-642-56542-7
copyrightSpringer-Verlag Berlin Heidelberg 2001
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978-3-642-62556-5Springer-Verlag Berlin Heidelberg 2001
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Reflections and the Way Forward,The aim in this chapter is to present several classic problems in the study of linearised . elastic equilibrium for homogeneous, isotropic materials. The initial state of the system under zero loading, taken as the reference state, is always assumed to be natural. The following points will be emphasised:
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Deformation,Figure 1 illustrates, for the die stamping process already shown in Fig. 2, Chap. I, two stages in the evolution of the block as it undergoes such an operation:
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Local Analysis of Stresses,The aim of Chap. V was to show how the virtual work method could be used to set up a representation of internal forces in the classical 3-dimensional continuum. We thus arrived at a symmetric second rank tensor field defined on the current configuration .., which we called the . tensor field.
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