准晶数学弹性理论及应用(英文版) 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
![准晶数学弹性理论及应用(英文版) 准晶数学弹性理论及应用(英文版)精美图片](https://img3m8.ddimg.cn/71/8/20955698-1_h_2.jpg)
准晶数学弹性理论及应用(英文版)电子书下载地址
内容简介:
This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter phyics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed.
书籍目录:
Preface
Chapter1 Crystals
1.1 Periodicity of crystal structure, crystal cell
1.2 Three-dimensional lattice types
1.3 Symmetry and point groups
1.4 Reciprocal lattice
1.5 Appendix of Chapter1: Some basic concepts
References
Chapter 2 Framework of the classical theory of elasticity
2.1 Review on some basic concepts
2.2 Basic assumptions of theory of elasticity
2.3 Displacement and deformation
2.4 Stress analysis and equations of motion
2.5 Generalized Hooke's law
2.6 Elastodynamics, wave motion
2.7 Summary
References
Chapter 3 Quasicrystal and its properties
3.1 Discovery of quasicrystal
3.2 Structure and symmetry of quasicrystals
3.3 A brief introduction on physical properties of quasicrystals
3.4 One-, two- and three-dimensional quasicrystals
3.5 Two-dimensional quasicrystals and planar quasicrystals
References
Chapter 4 The physical basis of elasticity of quasicrystals
4.1 Physical basis of elasticity of quasicrystals
4.2 Deformation tensors
4.3 Stress tensors and the equations of motion
4.4 Free energy and elastic constants
4.5 Generalized Hooke's law
4.6 Boundary conditions and initial conditions
4.7 A brief introduction on relevant material constants of quasicrystals
4.8 Summary and mathematical solvability of boundary value or initial- boundary value problem
4.9 Appendix of Chapter 4: Description on physical basis of elasticity of quasicrystals based on the Landau density wave theory
References
Chapter 5 Elasticity theory of one-dimensional quasicrystals and simplification
5.1 Elasticity of hexagonal quasicrystals
5.2 Decomposition of the problem into plane and anti-plane problems
5.3 Elasticity of monoclinic quasicrystals
5.4 Elasticity of orthorhombic quasicrystals
5.5 Tetragonal quasicrystals
5.6 The space elasticity of hexagonal quasicrystals
5.7 Other results of elasticity of one-dimensional quasicrystals
References
Chapter 6 Elasticity of two-dimensional quasicrystals and simplification
6.1 Basic equations of plane elasticity of two-dimensional quasicrystals: point groups 5m and10mm in five- and ten-fold symmetries
6.2 Simplification of the basic equation set: displacement potential function method
6.3 Simplification of the basic equations set: stress potential function method
6.4 Plane elasticity of point group 5, pentagonal and point group10, decagonal quasicrystals
6.5 Plane elasticity of point group12mm of dodecagonal quasicrystals
6.6 Plane elasticity of point group 8mm of octagonal quasicrystals, displacement potential
6.7 Stress potential of point group 5, pentagonal and point group10, decagonal quasicrystals
6.8 Stress potential of point group 8mm octagonal quasicrystals
6.9 Engineering and mathematical elasticity of quasicrystals
References
Chapter 7 Application I: Some dislocation and interface problems and solutions in one- and two,dimensional quasicrystals
7.1 Dislocations in one-dimensional hexagonal quasicrystals
7.2 Dislocations in quasicrystals with point groups 5m and10mm symmetries
7.3 Dislocations in quasicrystals with point groups 5, five-fold and10, ten-fold symmetries
7.4 Dislocations in quasicrystals with eight-fold symmetry
7.5 Dislocations in dodecagonal quasicrystals
7.6 Interface between quasicrystal and crystal
7.7 Conclusion and discussion
References
Chapter 8 Application II: Solutions of notch and crack problems of one-and two-dimensional quasicrystals
8.1 Crack problem and solution of one-dimensional quasicrystals
8.2 Crack problem in finite-sized one-dimensional quasicrystals
8.3 Griffith crack problems in point groups 5m and10mm quasicrystals based on displacement potential function method
8.4 Stress potential function formulation and complex variable function method for solving notch and crack problems of quasicrystals of point groups 5, and10,
8.5 Solutions of crack/notch problems of two-dimensional octagonal quasicrystals
8.6 Other solutions of crack problems in one-and two-dimensional quasicrystals
8.7 Appendix of Chapter 8: Derivation of solution of Section 8.1
References
Chapter 9 Theory of elasticity of three-dimensional quasicrystals and its applications
9.1 Basic equations of elasticity of icosahedral quasicrystals
9.2 Anti-plane elasticity of icosahedral quasicrystals and problem of interface between quasicrystal and crystal
9.3 Phonon-phason decoupled plane elasticity of icosahedral quasicrystals
9.4 Phonon-phason coupled plane elasticity of icosahedral quasicrystals displacement potential formulation
9.5 Phonon-phason coupled plane elasticity of icosahedral quasicrystals stress potential formulation
9.6 A straight dislocation in an icosahedral quasicrystal
9.7 An elliptic notch/Griffith crack in an icosahedral quasicrystal
9.8 Elasticity of cubic quasicrystals——the anti-plane and axisymmetric deformation
References
Chapter 10 Dynamics of elasticity and defects of quasicrystals
10.1 Elastodynamics of quasicrystals followed the Bak's argument
10.2 Elastodynamics of anti-plane elasticity for some quasicrystals
10.3 Moving screw dislocation in anti-plane elasticity
10.4 Mode III moving Griftith crack in anti-plane elasticity
10.5 Elast0-/hydro-dynamics of quasicrystals and approximate analytic solution for moving screw dislocation in anti-plane elasticity
10.6 Elasto-/hydro-dynamics and solutions of two-dimensional decagonal quasicrystals
10.7 Elasto-/hydro-dynamics and applications to fracture dynamics of icosahedral quasicrystals
10.8 Appendix of Chapter10: The detail of finite difference scheme
References
Chapter 11 Complex variable function method for elasticity of quasicrystals
Chapter 12 Variational principle of elasticity of quasicrystals
Chapter 13 Some mathematical principles on solutions of elasticity of quasicrystals
Chapter 14 Nonlinear behaviour of quasicrystals
Chapter 15 Fracture theory of quasicrystals
Chapter 16 Remarkable conclusion
References
Major Appendix: On some mathematical materials
Appendix I Outline of complex variable functions and some additional calculations
Appendix II Dual integral equations and some additional calculations.
A
References
Index
作者介绍:
暂无相关内容,正在全力查找中
出版社信息:
暂无出版社相关信息,正在全力查找中!
书籍摘录:
暂无相关书籍摘录,正在全力查找中!
在线阅读/听书/购买/PDF下载地址:
原文赏析:
暂无原文赏析,正在全力查找中!
其它内容:
书籍介绍
《准晶数学的弹性理论及应用(英文版)》内容简介:This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter phyics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed.
网站评分
书籍多样性:3分
书籍信息完全性:4分
网站更新速度:5分
使用便利性:3分
书籍清晰度:3分
书籍格式兼容性:6分
是否包含广告:7分
加载速度:7分
安全性:3分
稳定性:6分
搜索功能:5分
下载便捷性:3分
下载点评
- 引人入胜(134+)
- 图文清晰(200+)
- 少量广告(622+)
- 中评(603+)
- 体验差(335+)
- 书籍完整(633+)
- 傻瓜式服务(253+)
- 小说多(462+)
下载评价
- 网友 郗***兰:
网站体验不错
- 网友 陈***秋:
不错,图文清晰,无错版,可以入手。
- 网友 冯***卉:
听说内置一千多万的书籍,不知道真假的
- 网友 权***颜:
下载地址、格式选择、下载方式都还挺多的
- 网友 晏***媛:
够人性化!
- 网友 隗***杉:
挺好的,还好看!支持!快下载吧!
- 网友 丁***菱:
好好好好好好好好好好好好好好好好好好好好好好好好好
- 网友 焦***山:
不错。。。。。
- 网友 潘***丽:
这里能在线转化,直接选择一款就可以了,用他这个转很方便的
- 网友 辛***玮:
页面不错 整体风格喜欢
- 网友 马***偲:
好 很好 非常好 无比的好 史上最好的
- 网友 濮***彤:
好棒啊!图书很全
- 网友 宓***莉:
不仅速度快,而且内容无盗版痕迹。
- 别让不好意思害了你(精) 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- 新编大学德语 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- 幸运儿 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- 机器猫 哆啦A梦3 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- 财智女人理财宝典 周发玲 中国华侨【正版】 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- 临床体液及排泄物形态学检查图谱(第2版) 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- 2024名校冲刺数学小升初总复习 小学升初中必刷题真题卷衔接教材真题详解冲刺专项训练轻松备考 开心教育 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- 书虫·牛津英汉双语读物:神秘及幻想故事集(3级上 适合初三、高一年级) 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- MobileInternetForDummies移动互联网傻瓜书 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
- 太空(3级适合初3高1年级)(英汉对照)/书虫牛津英汉双语读物 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线
书籍真实打分
故事情节:4分
人物塑造:8分
主题深度:6分
文字风格:5分
语言运用:4分
文笔流畅:7分
思想传递:7分
知识深度:9分
知识广度:7分
实用性:5分
章节划分:3分
结构布局:4分
新颖与独特:6分
情感共鸣:6分
引人入胜:9分
现实相关:3分
沉浸感:6分
事实准确性:9分
文化贡献:9分