ISBN:9787040344974
內容介紹
ISBN號碼:9787040344974
書名:壓電材料高等力學(英文版)
作者:Qing-Hua Qin
齣版社:高等教育齣版社
齣版日期 :2012-09-01
頁數 :
版次 :第一版
開本 :
語種 :漢語
定價 :89.00
作者簡介
秦慶華,澳大利亞國立大學教授。2001-2006年被天津大學聘為教育部“長江學者奬勵計劃”特聘教授。主要研究方嚮為計算力學、智能材料與結構、生物材料力學、微納米力學、復閤材料損傷與斷裂力學。
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
內容簡介
《壓電材料高等力學(英文版)》主要闡述綫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、辛力學模型、哈密頓係統;討論瞭縴維增強壓電復閤材料、壓電功能梯度材料、含幣型裂紋壓電材料、壓電材料辛力學等問題。《壓電材料高等力學(英文版)》的讀者對象是物理、力學和材料類相關專業的研究人員和研究生。
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