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Macro-MicroTheory on Multi-field Couplin

作者：
Qing-Hua Qin, Qing-Sheng Yang
定价：
0.00 元
版面字数：
370千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次
印刷时间：
2008-01-05
ISBN：
978-7-04-022350-7
物料号：
22350-A0
出版时间：
2008-05-05
读者对象：
学术著作
一级分类：
自然科学
二级分类：
材料

《非均匀材料多场耦合行为的宏细观理论（英文版）》主要阐述非均匀材料多场耦合问题的基本理论和研究方法。在宏观和细观层次上研究各种天然材料、复合材料和先进功能材料中的热学、电学、化学和力学效应以及它们之间的相互作用。

  • Chapter 1 Introduction
    • 1.1 Heterogeneous materials
    • 1.2 Mulifield coupling ProPerties of heterogenenous materials
    • 1.3 Overview and structure of thebook
    • References
  • Chapter 2 Homogenization theory for heterogeneous materials
    • 2.1 Microstructure of heterogeneous materials
    • 2.2 Periodic boundary conditions
      • 2.2.1 General considerations
      • 2.2.2 Symmetric and Penriodic boundary conditions
    • 2.3 lmplementaion ofperiodic boundary conditions FE analysis
      • 2.3.1 Multi-point constraints
      • 2.3.2 Polynomial interpolations
      • 2.3.3 Specified strain states
    • 2.4 Effective fields and effective properties
      • 2.4.1 Average fields
      • 2.4.2 Effective properties
      • 2.4.3 Homogenization methods
    • 2.5 Direct homogenization
    • 2.6 Indirect method
      • 2.6.1 Self-cnsistent and generalized self-consistent scheme
      • 2.6.2 Mori-Tanaka method
      • 2.6.3 Self-consistent FEM and M-T FEM
      • 2.6.4 Differential method
    • 2.7 Variational method
    • 2.8 Two-scale expansion method
      • 2.8.1 Expansion of the displacement field
      • 2.8.2 Establishment of basic equations of elastic microstructure
      • 2.8.3 Determination of effective properties of material with microstructure
      • 2.8.4 Variational forms
      • 2.8.5 Finite elemen formulation
    • 2.9 An approximate estimation of effective properties
    • 2.10 Formulations and implementation for 2D problem
      • 2.10.1 Formulations
      • 2.10.2 FE implementation of homogenization methods
    • 2.11Numerical results
      • 2.11.1 Effective stiffness of isotropic composite
      • 2.11.2 Effective sitffness of anisotropic composite
      • 2.11.3 Microstructural deformation
    • References
  • Chapter 3 Thermo-electro-elastic problems
    • 3.1 Introduction
    • 3.2 Linear theory of piezodectricty
      • 3.2.1 Basic equations of linear piezoelectricity
      • 3.2.2 TWo-dimensional simplification
    • 3.3 Two classical solution approaches for piezoelectricity
      • 3.3.1 Solution with Stroh formalism
      • 3.3.2 Solution with Lekhnitskii formalism
      • 3.3.3 Some identities
    • 3.4Logarithmicsingularity of crack-tip fieldsin homogeneous piezoelectricity
      • 3.4.1 General solution for crack-tip fields
      • 3.4.2 Modified solution for p being a multiple root
      • 3.4.3 Modified solution for η being multiple root
    • 3.5 Trefftz finite element method for piezoelectricity
      • 3.5.1 Basic field equations and boundary conditions
      • 3.5.2 Assumed displacement and electric potential field
      • 3.5.3 Vaiational princpes
      • 3.5.4 Elemental stiffness matrix
      • 3.5.5 Application to anti-plane problem
      • 3.5.6 Numencal examples
    • 3.6 Theory of coupled thermo-piezoelectriclty
      • 3.6.1 Basic equations
      • 3.6.2 Uniqueness of the solution
    • 3.7 Solutions by Fourier transform method
      • 3.7.1 Fourier transform method and induced general solU
      • 3.7.2 Crack-tip singularity
      • 3.7.3 Griffith crack in homgeneous piezoelectricity
    • 3.8Penny-shaped cracks
      • 3.8.1 Problem statement and basic equation
      • 3.8.2 Reduction of crack problem to the solution of a Fredholm integral equation
      • 3.8.3 Numerical assessment
    • 3.9 Piezoelectric fibre composites
      • 3.9.1 Theoretical model for piezoelectric fibre push-out
      • 3.9.2 Stress transfer in the bonded interface
      • 3.9.3 Frictional sliding
      • 3.9.4 Partially debondiny model
      • 3.9.5 Interfacial debonding criterion
      • 3.9.6 Numerical examPles
    • References
  • Chapter 4 Therm-magneto-electro-elastic problems
    • 4.1 lntroduction
    • 4.2 Basic field equations for magneto-electro-elastic solids
      • 4.2.1 Basic equaquaions of general anisotropy
      • 4.2.2 Eight forms of constitutive equations
      • 4.2.3 Transversely of constitutive equations
      • 4.2.4 Extension to include thermal effect
    • 4.3 Variational formulation
    • 4.4 General solution for 3D transversely istropic magnteo-electro-elastic solids
    • 4.5 Green’s function for half-plane and bimaterial problems·
      • 4.5.1 Preliminary formulations
      • 4.5.2 New coordinate variables
      • 4.5.3 Green’s function for full space
      • 4.5.4 Green’s function for half-space
      • 4.5.5 Green’s function for a bimatenal prOblem
      • 4.5.6 Green’s function for an inclined interface or half-plane boundny
    • 4.6 Green’s function for wedge problems
      • 4.6.1 Basic formulations
      • 4.6.2 Green’s function for a wedge or a semi-infinite crack
    • 4.7 Antiplane shear crack in a magneto-electro-elastlc layer
      • 4.7.1 Statement of the problem
      • 4.7.2 Solution procedure
    • References
  • Chapter 5 Thermo-electro-chemo-mechanical coupling
    • 5.1 Intrduction
    • 5.2 Governng equations of fields
    • 5.3 Free enefgy and constitutive laws
    • 5.4 Vartiational principle
    • 5.5 Finite element formulation
    • 5.6 Chemo-mechanical coopling
    • 5.7 FE procedur and numerical examples
    • References
  • Chapter 6 Thermo-electro-elastic bone remodelling
    • 6.1 Introduction
    • 6.2 Thermo-electro-elastic internal bone remodelling
      • 6.2.1 Linear theory of thermo-eletro-elastic bone
      • 6.2.2 Adaptive elastic theory
      • 6.2.3 Analytical solution of a homogeneous hollow circular cylindrical bone
      • 6.2.4 Semi-analytical solution for inhomogeneous cylindrical bone layers
      • 6.2.5 Internal surface pressure induced by a medullar pin
      • 6.2.6 Numerical exmples
    • 6.3 Thermo-electro-elastic surface bone remodelling
      • 6.3.1 Equation for surface bone remodelling
      • 6.3.2 Differential field equation for surface emodelling rate
      • 6.3.3 Aproximation for small changes in radii
      • 6.3.4 Analytical solution of surface remodelling
      • 6.3.5 Application of semi-analytical soluton to surface remodelling of inhomogeneous bone
      • 6.3.6 surface remodlling equation modified by an inserhting medullar pin
      • 6.3.7 Nnmerical examPles
    • 6.4 EXtension to thermo-magneto-electro-elastic problem
      • 6.4.1 Linear theory of thermo-magneto-electro-elastic solid
      • 6.4.2 Solution for internal bone remodelling
      • 6.4.3 Solution for surfce bone remodelling
    • References
  • Chapter 7 Effective coupling properties of heterogeneous materials
    • 7.1 Basic equations for multifield coupliug
    • 7.2 Direct method
    • 7.3 Indirect method
    • 7.4 TwTwo-scale expansion method
      • 7.4.1 Asymptotic expansion of fields
      • 7.4.2 Effective coupling proPerties
    • 7.5 FE computation of effective coupling properties
    • 7.6 Numerical exmples
      • 7.6.1 Piezoelectric solid with voids
      • 7.6.2 Rigid inclusions
      • 7.6.3 Piezoelectric composite
    • References
  • Chapter 8 Effective properties of thermo-piezoelectricity
    • 8.1 Introduction
    • 8.2 Micromechanics model of thermo-piezoelectricty With microcracks
      • 8.2.1 Basic formulation of two-phase thermo-piezoelectricity
      • 8.2.2 Effective conductivity
      • 8.2.3 Effective electroelastic constants
      • 8.2.4 Effective therma expansion and pyroelectric constans
    • 8.3Micromechanics model of thermo-piezoelectricity with microvoids
      • 8.3.1 Effective conductivity
      • 8.3.2 Effective electroelastic constants
      • 8.3.3 Effective concentraton factors based on variousmicromchamics models
    • 8.4 Micromechanics model of piezoelectricity with inclusions
      • 8.4.1 Eshelby’s tensors for a composite with an ellipsoidal inclusion
      • 8.4.2 Effective elastoelectric moduli
      • 8.4.3 Effective thermal expansion and pyroelectric coefficiens
    • 8.5 Micromecnanics-boundary element mixed approach
      • 8.5.1 Two-phase BE formulaton
      • 8.5.2 Algorithms for sel-consistent and Mori-Tanaka approaches
  • References
  • Index