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Titlebook: Nonlinear Elastic Waves in Materials; Jeremiah J. Rushchitsky Book 2014 Springer International Publishing Switzerland 2014 Five-constant M

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发表于 2025-3-21 18:37:53 | 显示全部楼层 |阅读模式
书目名称Nonlinear Elastic Waves in Materials
编辑Jeremiah J. Rushchitsky
视频video
概述Presents a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements.Applicable in mechanical and other engineering, material science, applied mathemat
丛书名称Foundations of Engineering Mechanics
图书封面Titlebook: Nonlinear Elastic Waves in Materials;  Jeremiah J. Rushchitsky Book 2014 Springer International Publishing Switzerland 2014 Five-constant M
描述.The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves..The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. .The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so f
出版日期Book 2014
关键词Five-constant Model; Hypoelastic Materials; John Model; Murnaghan Model; Nonlinear Love Surface Waves; No
版次1
doihttps://doi.org/10.1007/978-3-319-00464-8
isbn_softcover978-3-319-37574-8
isbn_ebook978-3-319-00464-8Series ISSN 1612-1384 Series E-ISSN 1860-6237
issn_series 1612-1384
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 23:29:06 | 显示全部楼层
Introduction,e mechanics of materials, and a way for the theoretical modeling of nonlinear deformation of elastic materials that is based on geometrical and physical nonlinearities. The second part is devoted to three examples from the history of the theory of nonlinear waves: (1) Riemann simple waves, presentin
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Elastic Materials,properties including the property of elasticity. One of the oldest and developed parts of continuum mechanics is the classical theory of elasticity. This chapter includes the essential information on the basic kinematic and dynamic concepts of the nonlinear theory of elasticity. This information can
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The Simplest Linear Waves in Elastic Materials,f elasticity, volume and shear waves, the classic wave equation and basic facts associated with it, features, and terminology. The classic examples of breaking the correctness in mathematical statements (Helmholtz and Taylor instabilities and as well as Hadamard example and John sentence) are propos
发表于 2025-3-22 14:25:11 | 显示全部楼层
Nonlinear Plane Transverse Waves in Elastic Materials (Murnaghan Model, Five-Constant Model),s, and subsequently, the statement is divided into two parts. In the first part the quadratically nonlinear waves are discussed. The second part includes an analysis of the following nonlinear approach—simultaneous allowance for quadratic and cubic nonlinearities. Part 1 is devoted to solving the se
发表于 2025-3-22 18:36:23 | 显示全部楼层
Nonlinear Plane Waves in Hypoelastic Materials,. In the first part, the main facts from the theory of hypoelastic materials and the basic notions are introduced and discussed, and the necessary information on elastic plane waves is given. Part 2 is devoted to the transition from the general nonlinear case to a linearized model of hypoelastic mat
发表于 2025-3-23 00:37:23 | 显示全部楼层
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发表于 2025-3-23 03:02:10 | 显示全部楼层
Nonlinear Rayleigh and Love Surface Waves in Elastic Materials,vided into two parts. In the first part, the Rayleigh wave is analyzed. In the first subsection, elastic surface waves are described, and then the basic moments in the theory of elastic linear Rayleigh surface waves are shown. Further, nonlinear elastic Rayleigh surface waves are discussed, which in
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