壓電材料高等力學(xué)

內(nèi)容概要

　　《壓電材料高等力學(xué)（英文版）》主要闡述線性壓電材料的基本理論和基本研究方法，其中包括Trefftz有限元法、辛力學(xué)模型、哈密頓系統(tǒng)；討論了纖維增強(qiáng)壓電復(fù)合材料、壓電功能梯度材料、含幣型裂紋壓電材料、壓電材料辛力學(xué)等問題?！秹弘姴牧细叩攘W(xué)（英文版）》的讀者對象是物理、力學(xué)和材料類相關(guān)專業(yè)的研究人員和研究生。

作者簡介

　　秦慶華，澳大利亞國立大學(xué)教授。2001-2006年被天津大學(xué)聘為教育部“長江學(xué)者獎(jiǎng)勵(lì)計(jì)劃”特聘教授。主要研究方向?yàn)橛?jì)算力學(xué)、智能材料與結(jié)構(gòu)、生物材料力學(xué)、微納米力學(xué)、復(fù)合材料損傷與斷裂力學(xué)。

書籍目錄

Chapter 1 Introduction to Piezoelectricity
1.2 Linear theory ofpiezoelectricity
1.2.1 Basic equations in rectangular coordinate system
1.2.2 Boundary conditions
1.3 Functionally graded piezoelectric materials
1.3.1 Typesofgradation
1.3.2 Basic equations for two-dimensional FGPMs
1.4 Fibrous piezoelectric composites
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 Basicequations
2.4.2 Assumed fields
2.4.3 Element sti伍1ess equation
2.5 Integralequations
2.5.1 Fredholmintegralequations
2.5.2 Volterra integral equations
2.5.3 Abel's integralequation
2.6 Shear-Iagmodel
2.7 Hamiltonian method and symplectic mechanics
2.8 State space formulation
Chapter 3 Fibrous Piezoelectric Composites
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 fiberpush-out
3.4.1 Stress transferin the bonded regio
3.4.2 Frictionalsliding
3.4.3 PFC push-out driven by electrical and mechanicalloading
3.4.4 Numerical assessment
3.5 Interfacial debonding criterion
3.6 Micromecharucs offibrous piezoelectric composites
3.6.1 0verallelastoelectric properties ofFPCs
3.6.2 Extension to include magnetic and thermal effects
3.7.1 Conformalmapping
3.7.2 Solutions for thermalloading applied outside an elliptic
fiber
3.7.3 Solutions for holes and rigid fibers References
Chapter 4 Treftz Method for Piezoelectricit
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 ofthe element stifffiness equation
4.2.5 Numerical results
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 comer
4.3.5 Generation ofelement matrix
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 GeneraI 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
Chapter 5 Symplectic Solutions for Piezoelectric Materials
Chapter 6 Saint-Venant Decay Problems in Piezoelectricity
Chapter 7 Penny-Shaped Cracks
Chapter 8 Solution Methods for Functionally Graded Piezoelectric
Materials
Index

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