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压电材料高等力学（英文版）

样章
作者：
Qing-Hua Qin
定价：
89.00 元
版面字数：
480千字
开本：
16开
装帧形式：
精装
页数：
332
最新
印次时间：
2012年1月
ISBN：
978-7-04-034497-4
物料号：
34497-00
出版时间：
2012年8月
读者对象：
学术著作
一级分类：
自然科学
二级分类：
力学
三级分类：
固体力学

《压电材料高等力学（英文版）》主要阐述线性压电材料的基本理论和基本研究方法，其中包括Trefftz有限元法、辛力学模型、哈密顿系统；讨论了纤维增 强压电复合材料、压电功能梯度材料、含币型裂纹压电材料、压电材料辛力学等问题。《压电材料高等力学（英文版）》的读者对象是物理、力学和材料类相关专业 的研究人员和研究生。

  • 目录
    • Front Matter
      • Chapter 1 Introduction to Piezoelectricity
        • 1.1 Background
          • 1.2 Linear theory of piezoelectricity
            • 1.2.1 Basic equations in rectangular coordinate system
              • 1.2.2 Boundary conditions
              • 1.3 Functionally graded piezoelectric materials
                • 1.3.1 Types of gradation
                  • 1.3.2 Basic equations for two-dimensional FGPMs
                  • 1.4 Fibrous piezoelectric composites
                    • References
                    • Chapter 2 Solution Methods
                      • 2.1 Potential function method
                        • 2.2 Solution with Lekhnitskii formalism
                          • 2.3 Techniques of Fourier transformation
                            • 2.4 Trefftz finite element method
                              • 2.4.1 Basic equations
                                • 2.4.2 Assumed fields
                                  • 2.4.3 Element stiffness equation
                                  • 2.5 Integral equations
                                    • 2.5.1 Fredholm integral equations
                                      • 2.5.2 Volterra integral equations
                                        • 2.5.3 Abel’s integral equation
                                        • 2.6 Shear-lag model
                                          • 2.7 Hamiltonian method and symplectic mechanics
                                            • 2.8 State space formulation
                                              • References
                                              • Chapter 3 Fibrous Piezoelectric Composites
                                                • 3.1 Introduction
                                                  • 3.2 Basic formulations for fiber push-out and pull-out tests
                                                    • 3.3 Piezoelectric fiber pull-out
                                                      • 3.3.1 Relationships between matrix stresses and interfacial shear stress
                                                        • 3.3.2 Solution for bonded region
                                                          • 3.3.3 Solution for debonded region
                                                            • 3.3.4 Numerical results
                                                            • 3.4 Piezoelectric fiber push-out
                                                              • 3.4.1 Stress transfer in the bonded region
                                                                • 3.4.2 Frictional sliding
                                                                  • 3.4.3 PFC push-out driven by electrical and mechanical loading
                                                                    • 3.4.4 Numerical assessment
                                                                    • 3.5 Interfacial debonding criterion
                                                                      • 3.6 Micromechanics of fibrous piezoelectric composites
                                                                        • 3.6.1 Overall elastoelectric properties of FPCs
                                                                          • 3.6.2 Extension to include magnetic and thermal effects
                                                                          • 3.7 Solution of composite with elliptic fiber
                                                                            • 3.7.1 Conformal mapping.
                                                                              • 3.7.2 Solutions for thermal loading applied outside an elliptic fiber
                                                                                • 3.7.3 Solutions for holes and rigid fibers
                                                                                • References
                                                                                • Chapter 4 Trefftz Method for Piezoelectricity
                                                                                  • 4.1 Introduction
                                                                                    • 4.2 Trefftz FEM for generalized plane problems.
                                                                                      • 4.2.1 Basic field equations and boundary conditions
                                                                                        • 4.2.2 Assumed fields
                                                                                          • 4.2.3 Modified variational principle
                                                                                            • 4.2.4 Generation of the element stiffness equation
                                                                                              • 4.2.5 Numerical results
                                                                                              • 4.3 Trefftz FEM for anti-plane problems
                                                                                                • 4.3.1 Basic equations for deriving Trefftz FEM
                                                                                                  • 4.3.2 Trefftz functions
                                                                                                    • 4.3.3 Assumed fields
                                                                                                      • 4.3.4 Special element containing a singular corner
                                                                                                        • 4.3.5 Generation of element matrix
                                                                                                          • 4.3.6 Numerical examples
                                                                                                          • 4.4 Trefftz boundary element method for anti-plane problems
                                                                                                            • 4.4.1 Indirect formulation
                                                                                                              • 4.4.2 The point-collocation formulations of Trefftz boundary element method
                                                                                                                • 4.4.3 Direct formulation
                                                                                                                  • 4.4.4 Numerical examples
                                                                                                                  • 4.5 Trefftz boundary-collocation method for plane piezoelectricity
                                                                                                                    • 4.5.1 General Trefftz solution sets
                                                                                                                      • 4.5.2 Special Trefftz solution set for a problem with elliptic holes
                                                                                                                        • 4.5.3 Special Trefftz solution set for impermeable crack problems
                                                                                                                          • 4.5.4 Special Trefftz solution set for permeable crack problems
                                                                                                                            • 4.5.5 Boundary collocation formulation
                                                                                                                            • References
                                                                                                                            • Chapter 5 Symplectic Solutions for Piezoelectric Materials
                                                                                                                              • 5.1 Introduction
                                                                                                                                • 5.2 A symplectic solution for piezoelectric wedges
                                                                                                                                  • 5.2.1 Hamiltonian system by differential equation approach
                                                                                                                                    • 5.2.2 Hamiltonian system by variational principle approach
                                                                                                                                      • 5.2.3 Basic eigenvalues and singularity of stress and electric fields
                                                                                                                                        • 5.2.4 Piezoelectric bimaterial wedge
                                                                                                                                          • 5.2.5 Multi-piezoelectric material wedge
                                                                                                                                          • 5.3 Extension to include magnetic effect
                                                                                                                                            • 5.3.1 Basic equations and their Hamiltonian system
                                                                                                                                              • 5.3.2 Eigenvalues and eigenfunctions
                                                                                                                                                • 5.3.3 Particular solutions
                                                                                                                                                • 5.4 Symplectic solution for a magnetoelectroelastic strip
                                                                                                                                                  • 5.4.1 Basic equations
                                                                                                                                                    • 5.4.2 Hamiltonian principle
                                                                                                                                                      • 5.4.3 The zero-eigenvalue solutions
                                                                                                                                                        • 5.4.4 Nonzero-eigenvalue solutions
                                                                                                                                                        • 5.5 Three-dimensional symplectic formulation for piezoelectricity
                                                                                                                                                          • 5.5.1 Basic formulations
                                                                                                                                                            • 5.5.2 Hamiltonian dual equations
                                                                                                                                                              • 5.5.3 The zero-eigenvalue solutions
                                                                                                                                                                • 5.5.4 Sub-symplectic system
                                                                                                                                                                  • 5.5.5 Nonzero-eigenvalue solutions
                                                                                                                                                                  • 5.6 Symplectic solution for FGPMs
                                                                                                                                                                    • 5.6.1 Basic formulations
                                                                                                                                                                      • 5.6.2 Eigenvalue properties of the Hamiltonian matrix H
                                                                                                                                                                        • 5.6.3 Eigensolutions corresponding to μ =0 and–α
                                                                                                                                                                          • 5.6.4 Extension to the case of magnetoelectroelastic materials
                                                                                                                                                                          • References
                                                                                                                                                                          • Chapter 6 Saint-Venant Decay Problems in Piezoelectricity
                                                                                                                                                                            • 6.1 Introduction
                                                                                                                                                                              • 6.2 Saint-Venant end effects of piezoelectric strips
                                                                                                                                                                                • 6.2.1 Hamiltonian system for a piezoelectric strip
                                                                                                                                                                                  • 6.2.2 Decay rate analysis
                                                                                                                                                                                    • 6.2.3 Numerical illustration
                                                                                                                                                                                    • 6.3 Saint-Venant decay in anti-plane dissimilar laminates
                                                                                                                                                                                      • 6.3.1 Basic equations for anti-plane piezoelectric problem
                                                                                                                                                                                        • 6.3.2 Mixed-variable state space formulation
                                                                                                                                                                                          • 6.3.3 Decay rate of FGPM strip
                                                                                                                                                                                            • 6.3.4 Two-layered FGPM laminates and dissimilar piezoelectric laminates
                                                                                                                                                                                            • 6.4 Saint-Venant decay in multilayered piezoelectric laminates
                                                                                                                                                                                              • 6.4.1 State space formulation
                                                                                                                                                                                                • 6.4.2 Eigensolution and decay rate equation
                                                                                                                                                                                                • 6.5 Decay rate of piezoelectric-piezomagnetic sandwich structures
                                                                                                                                                                                                  • 6.5.1 Basic equations and notations in multilayered structures
                                                                                                                                                                                                    • 6.5.2 Space state differential equations for analyzing decay rate
                                                                                                                                                                                                      • 6.5.3 Solutions to the space state differential equations
                                                                                                                                                                                                      • References
                                                                                                                                                                                                      • Chapter 7 Penny-Shaped Cracks
                                                                                                                                                                                                        • 7.1 Introduction
                                                                                                                                                                                                          • 7.2 An infinite piezoelectric material with a penny-shaped crack
                                                                                                                                                                                                            • 7.3 A penny-shaped crack in a piezoelectric strip
                                                                                                                                                                                                              • 7.4 A fiber with a penny-shaped crack embedded in a matrix
                                                                                                                                                                                                                • 7.5 Fundamental solution for penny-shaped crack problem
                                                                                                                                                                                                                  • 7.5.1 Potential approach
                                                                                                                                                                                                                    • 7.5.2 Solution for crack problem
                                                                                                                                                                                                                      • 7.5.3 Fundamental solution for penny-shaped crack problem
                                                                                                                                                                                                                      • 7.6 A penny-shaped crack in a piezoelectric cylinder
                                                                                                                                                                                                                        • 7.6.1 Problem statement and basic equation.
                                                                                                                                                                                                                          • 7.6.2 Derivation of integral equations and their solution
                                                                                                                                                                                                                            • 7.6.3 Numerical results and discussion
                                                                                                                                                                                                                            • 7.7 A fiber with a penny-shaped crack and an elastic coating
                                                                                                                                                                                                                              • 7.7.1 Formulation of the problem
                                                                                                                                                                                                                                • 7.7.2 Fredholm integral equation of the problem
                                                                                                                                                                                                                                  • 7.7.3 Numerical results and discussion
                                                                                                                                                                                                                                  • References
                                                                                                                                                                                                                                  • Chapter 8 Solution Methods for Functionally Graded Piezoelectric Materials
                                                                                                                                                                                                                                    • 8.1 Introduction
                                                                                                                                                                                                                                      • 8.2 Singularity analysis of angularly graded piezoelectric wedge
                                                                                                                                                                                                                                        • 8.2.1 Basic formulations and the state space equation
                                                                                                                                                                                                                                          • 8.2.2 Two AGPM wedges
                                                                                                                                                                                                                                            • 8.2.3 AGPM-EM-AGPM wedge system
                                                                                                                                                                                                                                              • 8.2.4 Numerical results and discussion
                                                                                                                                                                                                                                              • 8.3 Solution to FGPM beams
                                                                                                                                                                                                                                                • 8.3.1 Basic formulation
                                                                                                                                                                                                                                                  • 8.3.2 Solution procedure
                                                                                                                                                                                                                                                  • 8.4 Parallel cracks in an FGPM strip
                                                                                                                                                                                                                                                    • 8.4.1 Basic formulation
                                                                                                                                                                                                                                                      • 8.4.2 Singular integral equations and field intensity factors
                                                                                                                                                                                                                                                      • 8.5 Mode Ⅲ cracks in two bonded FGPMs
                                                                                                                                                                                                                                                        • 8.5.1 Basic formulation of the problem
                                                                                                                                                                                                                                                          • 8.5.2 Impermeable crack problem
                                                                                                                                                                                                                                                            • 8.5.3 Permeable crack problem
                                                                                                                                                                                                                                                            • References
                                                                                                                                                                                                                                                            • Index
                                                                                                                                                                                                                                                              • 版权

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