| 查看: 5279 | 回复: 92 | ||||||||||
| 【奖励】 本帖被评价75次，作者hefeigongda增加金币 61.2 个 | ||||||||||
| 当前只显示满足指定条件的回帖，点击这里查看本话题的所有回帖 | ||||||||||
[资源]
Non-Linear Elastic Deformations by R.W. Ogden（1997）
|
||||||||||
|
RW Ogden 是非线性弹性力学的奠基人之一，他的这本著作非常出名，我寻找也非常不容易，在别的论坛找到了一份。是靠挣取盟币获得的。 望有识之士拿去研读。 目录 Acknowlegements Preface Chapter 1 Tensor Theory 1.1 Euclidean vector space 1.1.1 Orthonormal Bases and Components 1.1.2 Change of Basis 1.1.3 Euclidean Point Space: Cartesian Coordinates 1.2 Cartesian tensors 1.2.1 Motivation: Stress in a Continuum 1.2.2 Definition of a Cartesian Tensor 1.2.3 The Tensor Product 1.2.4 Contraction 1.2.5 Isotropic Tensors 1.3 Tensor algebra 1.3.1 Second-order Tensors 1.3.2 Eigenvalues and Eigenvectors of a Second-order Tensor 1.3.3 Symmetric Second-order Tensors 1.3.4 Antisymmetric Second-order Tensors 1.3.5 Orthogonal Second-order Tensors 1.3.6 Highter-order Tensors 1.4 Contravariant and covariant tensors 1.4.1 Reciprocal Basis. Contravariant and Covariant Components 1.4.2 Change of Basis 1.4.3 Dual Space.General Tensors 1.5 Tensor fields 1.5.1 The Gradient of a Tensor Field 1.5.2 Symbolic Notation for Differential Operators 1.5.3 Differentiation in Cartesian Coordinates 1.5.4 Differentiation in Curvilinear Coordinates 1.5.5 Curves and Surfaces 1.5.6 Integration of Tensor Fields References Chapter 2 Analysis of Deformation and Motion 2.1 Kinematics 2.1.1 Observers and Frames of Reference 2.1.2 Configurations and Motions 2.1.3 Reference Configuratins and Deformations 2.1.4 Rigid-body Motions 2.2 Analsis of deformation and strain 2.2.1 The Deformation Gradient 2.2.2 Deformation of Volume and Surface 2.2.3 "Strain, Stretch, Extension and Shear" 2.2.4 Polar Decomposition of the Deformation Gradient 2.2.5 Geometrical Interpretations of the Deformation 2.2.6 Examples of Deformations 2.2.7 Strain Tensors 2.2.8 Change of Reference Configuration or Observer 2.3 Analysis of motion 2.3.1 Deformation and Strain Rates 2.3.2 Spins of the Lagrangean an Eulerian Axes 2.4 Objectivity of tensor fields 2.4.1 Eulerian and Lagrangean Objectivity 2.4.2 Embedded components of tensors References "Chapter 3 Balance Laws, Stress and Field Equations" 3.1 Mass conservation 3.2 Momentum balance equations 3.3 The Cauchy stress tensor 3.3.1 Linear Dependence of the Stress Vector on the Surface Normal 3.3.2 Cauchy's Laws of Motion 3.4 The nominal stress tensor 3.4.1 Definition of Nominal Stress 3.4.2 The Lagrangean Field Equations 3.5 Conjugate stress analysis 3.5.1 Work Rate and Energy Balance 3.5.2 Conjugage Stress Tensors 3.5.3 Stress Rates References Chapter 4 Elasticity 4.1 Constitutive laws for simple materials 4.1.1 General Remarks on Constitutive Laws 4.1.2 Simple Materials 4.1.3 Material Uniformity and Homogeneity 4.2 Cauchy elastic materials 4.2.1 The Constitutive Equation for a Cauchy Elastic Material 4.2.2 Alternative Forms of the Constitutive Equation 4.2.3 Material Symmetry 4.2.4 Undistorted Configurations and Isotropy 4.2.5 Anisotropic Elastic Solids 4.2.6 Isotropic Elastic Solids 4.2.7 Internal Constraints 4.2.8 Differentiation of a Scalar Function of a Tensor 4.3 Green elastic materials 4.3.1 The Strain-Energy Function 4.3.2 Symmetry Groups for Hyperelastic Materials 4.3.3 Stress-Deformation Relations for Constrained Hyperelastic Materials 4.3.4 Stress-Deformation Relations for Isotropic Elastic Materials 4.3.5 Strain-Energy Functions for Isotropic Elastic Materials 4.4 Application to simple homogeneous deformations References Chapter 5 Boundary-Value Problems 5.1 Formulation of boundary-value problems 5.1.1 Equations of Motion and Equilibrium 5.1.2 Boundary Conditions 5.1.3 Restrictions on the Deformation 5.2 Problems for unconstrained materials 5.2.1 Ericksen's Theorem 5.2.2 Spherically Symmetric Deformation of a Spherical Shell 5.2.3 Extension and Inflation of a Circular Cylindrical Tube 5.2.4 Bending of a Rectangular Block into a Sector of a Circular Tube 5.2.5 Combined Extension and Torsion of a Solid Circular Cylinder 5.2.6 Plane Strain Problems: Complex Variable Methods 5.2.7 Growth Conditions 5.3 Problems for materials with internal constrainsts 5.3.1 Preliminaries 5.3.2 Spherically Symmetric Deformation of a Spherical Shell 5.3.3 Combined Extension and Inflation of a Circular Cylindrical Tube 5.3.4 Flexure of a Rectangular Block 5.3.5 Extension and Torsion of a Circular Cylinder 5.3.6 Shear of a Circular Cylindrical Tube 5.3.7 Rotation of a Solid Circular Cylinder about its Axis 5.4 Variational principles and conservation laws 5.4.1 Virtual Work and Related Principles 5.4.2 The Principle of Stationary Potential Energy 5.4.3 Complementary and Mixed Variational Principles 5.4.4 Variational Principles with Constraints 5.4.5 Conservation Laws and the Energy Momentum Tensor References Chapter 6 Incremental Elastic Deformations 6.1 Incremental constitutive relations 6.1.1 Deformation Increments 6.1.2 Stress Increments and Elastic Moduli 6.1.3 Instantaneous Moduli 6.1.4 Elastic Moduli for Isotropic Materials 6.1.5 Elastic Moduli for Incompressible Isotropic Materials 6.1.6 Linear and Second-order Elasticity 6.2 Structure and properties of the incremental equations 6.2.1 Incremental Boundary-Value Problems 6.2.2 Uniqueness: Global Considerations 6.2.3 Incremental Uniqueness and Stability 6.2.4 Variational Aspects of Incremental Problems 6.2.5 Bifurcation Analysis: Dead-load Tractions 6.2.6 Bifurcation Analysis: Non-adjoint and Self-adjoint Data 6.2.7 The Strong Ellipticity Condition 6.2.8 Constitutive Branching and Constitutive Inequalities 6.3 Solution of incremental boundary-value problems 6.3.1 Bifurcation of a Pre-strained Rectangular Block 6.3.2 Global Aspects of the Plane-strain Bifurcation of a Rectangular Block 6.3.3 Other Problems with Underlying Homogenous Deformation 6.3.4 Bifurcation of a Pressurized Spherical Shell 6.4 Waves and vibrations References Chapter 7 Elastic Properties of Sold Materials 7.1 Phenomenological theory 7.2 Isotropic materials 7.2.1 Homogenous Pure Strain of an Incompressible Material 7.2.2 Application to Rubberlike Materials 7.2.3 Homogeneous Pure Strain of a Compressible Material 7.3 The effect of small changes in material properties 7.4 Nearly incompressible materials 7.4.1 Compressible Materials and the Incompressible Limit 7.4.2 Nearly Incompressible Materials 7.4.3 Pure Homogeneous Strain of a Nearly Incompressible Isotropic Material 7.4.4 Application to Rubberlike Materials References Appendix I Convex Functions References Appendix 2 Glossary of symbols  4166cD13FcL._SX314_BO1,204,203,200_.jpg |
回复此楼» 本帖附件资源列表
-
欢迎监督和反馈：小木虫仅提供交流平台，不对该内容负责。
本内容由用户自主发布，如果其内容涉及到知识产权问题，其责任在于用户本人，如对版权有异议，请联系邮箱：xiaomuchong@tal.com - 附件 1 : (Dover_Civil_and_Mechanical_Engineering)_R._W._Ogden-Non-Linear_Elastic_Deformations-Dover_Publications_(1997).pdf
2016-01-22 21:58:13, 6.51 M
» 收录本帖的淘帖专辑推荐
 书籍下载网站 | 专业书籍（外文版）WM | 专业书籍之材料加工 | 电子书（土木、力学） |
| 如何做研究&高质量文献(材料专业相关) | FEM/MECHANICS/MATE | 材料 | 硅胶模型 |
» 本帖已获得的红花（最新10朵）
zhangyzh» 猜你喜欢
国自然申请面上模板最新2026版出了吗？
已经有14人回复
-
计算机、0854电子信息（085401-058412）调剂
已经有5人回复
-
基金委咋了？2026年的指南还没有出来？
已经有3人回复
-
Materials Today Chemistry审稿周期
已经有5人回复
-
溴的反应液脱色
已经有7人回复
-
推荐一本书
已经有12人回复
-
基金申报
已经有4人回复
-
纳米粒子粒径的测量
已经有7人回复
-
常年博士招收(双一流，工科)
已经有4人回复
-
有没有人能给点建议
已经有5人回复
» 本主题相关价值贴推荐，对您同样有帮助:
- non-linear minimization
已经有6人回复
★★★★★ 五星级,优秀推荐
| This is one of the best contemporary books in solid mechanics. This is the book for people who have read other continuum mechanics/elasticity books and wondered "but why?". You really should be motivated and solve the problems too. Every line of the book is written for a purpose. I find something new every time I read it. If you don't understand something on first try, go on to the next section and return later. |
42楼2016-05-12 20:37:10
简单回复
2016-01-23 07:18
回复
五星好评 顶一下，感谢分享！
2016-01-23 08:57
回复
五星好评 顶一下，感谢分享！
2016-01-23 09:22
回复
五星好评 顶一下，感谢分享！
2016-01-23 09:30
回复
五星好评 顶一下，感谢分享！
铁浮屠6楼
2016-01-23 11:20
回复
五星好评 顶一下，感谢分享！
寰宇咸平7楼
2016-01-24 13:40
回复
五星好评 顶一下，感谢分享！
wmnick8楼
2016-01-24 14:28
回复
五星好评 顶一下，感谢分享！
ywslx9楼
2016-01-24 17:37
回复
五星好评 顶一下，感谢分享！
toni_kroos10楼
2016-01-24 19:35
回复
五星好评 顶一下，感谢分享！
wxl_82720011楼
2016-01-24 19:51
回复
五星好评 顶一下，感谢分享！
fuhuidong12楼
2016-01-24 23:48
回复
五星好评 顶一下，感谢分享！
muxinjin13楼
2016-01-25 10:21
回复
五星好评 顶一下，感谢分享！
wenhsien14楼
2016-01-25 11:29
回复
五星好评 顶一下，感谢分享！