彈性波理論 (英文) 魏培君 9787030740601 【台灣高等教育出版社】

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書名:彈性波理論 (英文)
ISBN:9787030740601
出版社:科學
著編譯者:魏培君
頁數:361
所在地:中國大陸 *此為代購商品
書號:1582600
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內容簡介

複雜介質中的彈性波理論在地球物理勘探、結構和材料無損檢測以及醫學超聲成像等領域具有廣泛應用。但系統介紹彈性波傳播理論的著作並不多見。本書系統介紹了各向同性彈性固體介質中彈性波傳播的基本理論,包括無限大固體介質中的彈性波傳播;彈性波在界面處的反射和透射;彈性波通過有限厚度層狀結構的反射和透射;半無限大體表面或覆蓋層中傳播的瑞利波和樂夫波;平板中的導波和漏波;圓柱桿中導波;對圓柱殼和圓球殼中的導波傳播模式和傳播特性也進行了介紹。關於彈性波散射和多重散射的相關內容,基於篇幅考慮沒有納入。作者長期給研究生講授彈性波理論,同時進行複雜介質中彈性波傳播及其應用研究。本書是作者在彈性波理論課程講義基礎上,結合自己科研工作編寫而成。 全書共分6章,側重基礎理論和分析方法的系統性。

目錄

1 Fundamentals of Elastodynamics
1 1 Basic Hypothesis of Elastodynamics
1 1 1 Continuity Hypothesis
1 1 2 Elasticity Hypothesis
1 1 3 Small Deformation Hypothesis
1 1 4 Homogeneous Hypothesis
1 1 5 Isotropic Hypothesis
1 1 6 Zero Initial Stress Hypothesis
1 2 Basic Conservation Laws of Elastodynamics
1 2 1 Law of Mass Conservation
1 2 2 Law of Conservation of Momentum
1 2 3 The Law of Conservation of Energy
1 3 Variational Principle of Elastodynamics
1 4 The Initial Boundary Value Problem of Elastodynamics
1 5 Transient and Steady-State Problems
2 Elastic Waves in an Infinite Medium
2 1 Scalar Potential and Vector Potential
2 2 Solution of Wave Equation
2 3 Properties of Plane Waves
2 3 1 Propagation Mode of Plane Waves
2 3 2 The Stress Distribution on the Wavefront
2 3 3 The Energy Flow Density of a Plane Wave
2 4 Inhomogeneous Plane Wave
2 5 Spectrum Analysis of Plane Wave
3 Reflection and Transmission of Elastic Waves at Interfaces
3 1 Classification of Interfaces and Plane Waves
3 1 1 Perfect Interface and Imperfect Interface
3 1 2 P Wave, S Wave and SH Wave
3 2 Reflection of Elastic Waves on Free Surface
3 2 1 Reflection of P Wave on Free Surface
3 2 2 Reflection of SH Waves on Free Surface
3 2 3 Reflection of SV Waves on Free Surface
3 2 4 Incident P Wave and SV Wave Simultaneously
3 3 Reflection and Transmission of Elastic Waves at the Interface
3 3 1 Reflection and Transmission of P Waves at the Interface
3 3 2 Reflection and Transmission of SH Waves at the Interface
3 3 3 Reflection and Transmission of SV Waves at the Interface
3 3 4 P Wave and SV Wave Incidence Simultaneously
3 4 Reflection and Transmission of Waves at the Periodic Corrugated Interface
4 Reflection and Transmission of Elastic Waves in Multilayer Media
4 1 Simultaneous Interface Conditions Method
4 2 Transfer Matrix Method
4 3 Stiffness Matrix Method
4 4 Multiple Reflection/Transmission Method
4 5 Super-Interface Method
4 6 The State Transfer Equation Method
4 7 Bloch Waves in Periodic Layered Structures
5 Surface Wave and Interface Wave
5 1 P-type Surface Waves and SY-Type Surface Waves
5 2 Rayleigh Wave
5 2 1 Rayleigh Wave』s Wave Function
5 2 2 Rayleigh Equation
5 2 3 The Displacement Field of the Ryleigh Wave
5 2 4 Rayleigh Wave in Elastic Half-Space with Cover Layer
5 3 Love Wave
5 3 1 The Displacement Distribution of Love Wave
5 3 2 The Dispersion Equation of Love Wave
5 4 Stoneley Wave
5 4 1 Wave Function of Stoneley Wave
5 4 2 Stoneley Equation
5 5 Torsional Surface Wave
6 Guided Waves
6 1 Flexural Waves in Beams
6 2 Flexural Waves in Plate
6 3 Guided Waves in Plate (Lamb Wave)
6 3 1 Mixed Boundary Condition
6 3 2 Free Boundary Conditions
6 3 3 Fixed Boundary Condition
6 3 4 Liquid Load on Both Sides
6 4 Guided Waves in Cylindrical Rod
6 4 1 Axisymmetric Torsional Waves
6 4 2 Axisymmetric Compression Waves
6 4 3 Non-axisymmetric Guided Waves (Bending Waves)
6 4 4 Surface with Liquid Load
6 5 Waves in Cylindrical Tube
6 5 1 Axisymmetric Torsional Waves
6 5 2 Axisymmetric Compression Waves
6 5 3 Non-axisymmetric Waves (Bending Waves)
6 5 4 Inner and Outer Surfaces with Liquid Load
6 6 Guided Waves in Spherical Shell
6 6 1 Inner and Outer Free Surfaces
6 6 2 Inner and Outer Surfaces with Liquid Loads
References

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