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Titlebook: Questions About Elastic Waves; Jüri Engelbrecht Book 2015 Springer International Publishing Switzerland 2015 dispersion.microstructured so

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发表于 2025-3-21 16:23:43 | 显示全部楼层 |阅读模式
书目名称Questions About Elastic Waves
编辑Jüri Engelbrecht
视频video
概述Mathematical models of waves linked consistently to physical effects.Emphasis is on the nonclassical models of wave motion.Step-by-step approach from simple to complex.Includes supplementary material:
图书封面Titlebook: Questions About Elastic Waves;  Jüri Engelbrecht Book 2015 Springer International Publishing Switzerland 2015 dispersion.microstructured so
描述.This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua..With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity..
出版日期Book 2015
关键词dispersion; microstructured solids; nonlinearity; wave interaction; waves; partial differential equations
版次1
doihttps://doi.org/10.1007/978-3-319-14791-8
isbn_softcover978-3-319-36699-9
isbn_ebook978-3-319-14791-8
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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What physical effects are involved?, Ian Stewart [230] asks this question and gives the answer that “equations are the lifeblood of mathematics, science and technology”, and adds that “… they reveal deep and beautiful patterns and regularities”.
发表于 2025-3-22 14:53:30 | 显示全部楼层
What physical mechanisms govern waves in non-conservative systems?,equationis also conservative and admits infinitely many conserved quantities [2, 59]: . These equations express the conservation of mass, momentum, and energy, respectively. The accuracy of a numerical method can be checked by calculating these conserved quantities at every time step.
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What is wave motion?,As surprising as it may sound, there is no simple answer to this question. Better not ask what a waveis, but ask what can be said about a wave, explains J. Pierce [197]. The confusion is caused by the wavemotion itself, which can be related to propagating disturbances or oscillations. Nevertheless, let us first present some definitions.
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Jüri EngelbrechtMathematical models of waves linked consistently to physical effects.Emphasis is on the nonclassical models of wave motion.Step-by-step approach from simple to complex.Includes supplementary material:
发表于 2025-3-23 08:53:07 | 显示全部楼层
Book 2015low the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to t
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