层状和梯度材料断裂力学的边界元法和应用（英文版）

图书标准信息

• 作者 肖洪天、岳中琦 著
• 出版社 高等教育出版社
• 出版时间 2014-01
• 版次 1
• ISBN 9787040292800
• 定价 89.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 307页
• 字数 370千字
• 正文语种 简体中文

【内容简介】

　　《层状和梯度材料断裂力学的边界元法和应用（英文版）》介绍了作者近十几年来发展的新型边界元法，以及采用建议方法分析层状和梯度材料断裂力学特性的研究成果。
　　新型边界元法基于层状各向同性材料基本解和双层横观各向同性材料基本解，采用子域和单一区域边界元法分析断裂力学问题，引入可描述裂纹尖端应力场和位移场变化特点的单元，采用沿材料梯度方向分层的方法逼近梯度材料力学参数的变化。采用建议方法计算了梯度材料中不同类型三维裂纹的应力强度因子，并分析了裂纹扩展。获得梯度材料力学和几何参数对裂纹应力强度因子和裂纹扩展的影响。
　　《层状和梯度材料断裂力学的边界元法和应用（英文版）》首先介绍了弹性力学和断裂力学的基础知识，简单且完整地介绍了层状材料的基本解。在接下来的几章里，发展了基于层状材料基本解的边界元方法，并分析了层状和梯度材料的断裂力学问题。最后，发展了基于双层横观各向同性材料基本解的边界元方法，并分析了该类材料的断裂力学问题。
　　《层状和梯度材料断裂力学的边界元法和应用（英文版）》可供土木、水利、交通、航空等部门从事力学、新材料的教学和科研的有关人员阅读参考。

【目录】

Chapter1Introduction
1.1Functionallygradedmaterials
1.2Methodsforfracturemechanics
1.2.1General
1.2.2Analyticalmethods
1.2.3Finiteelementmethod
1.2.4Boundaryelementmethod
1.2.5Meshlessmethods
1.3Overviewofthebook
References

Chapter2FundamentalsofElasticityandFractureMechanics
2.1Introduction
2.2Basicequationsofelasticity
2.3Fracturemechanics
2.3.1General
2.3.2Deformationmodesofcrackedbodies
2.3.3Three-dimensionalstressanddisplacementfields
2.3.4Stressfieldsofcracksingradedmaterialsandontheinterfaceofbi-materials
2.4Analysisofcrackgrowth
2.4.1General
2.4.2Energyreleaserate
2.4.3Maximumprincipalstresscriterion
2.4.4Minimumstrainenergydensitycriterion
2.4.5Thefracturetoughnessofgradedmaterials
2.5Summary
References

Chapter3Yue'sSolutionofa3DMultilayeredElasticMedium
3.1Introduction
3.2Basicequations
3.3Solutioninthetransformdomain
3.3.1Solutionformulation
3.3.2Solutionexpressedintermsofg
3.3.3Asymptoticrepresentationofthesolutionmatricesφ（p，z）andψ（p，z）
3.4Solutioninthephysicaldomain
3.4.1SolutionsintheCartesiancoordinatesystem
3.4.2Closed-formresultsforsingulartermsofthesolution
3.5Computationalmethodsandnumericalevaluation
3.5.1General
3.5.2Singularitiesofthefundamentalsolution
3.5.3Numericalintegration
3.5.4Numericalevaluationandresults
3.6Summary
Appendix1Thematricesofelasticcoefficients
Appendix2Thematricesintheasymptoticexpressionsofφ（p，z）andψ（p，z）
Appendix3ThematricesGx[m，z，φ]andGt[m，z，φ]
References

Chapter4Yue'sSolution-basedBoundaryElementMethod
4.1Introduction
4.2Betti'sreciprocalworktheorem
4.3Yue'ssolution-basedintegralequations
4.4Yue'ssolution-basedboundaryintegralequations
4.5Discretizedboundaryintegralequations
4.6Assemblyoftheequationsystem
4.7Numericalintegrationofnon-singularintegrals
4.7.1Gaussianquadratureformulas
4.7.2Adaptiveintegration
4.7.3Nearlysingularintegrals
4.8Numericalintegrationofsingularintegrals
4.8.1General
4.8.2Weaklysingularintegralsm70
4.8.3Stronglysingularintegrals
4.9Evaluationofdisplacementsandstressesataninternalpoint
4.10Evaluationofboundarystresses
4.11Multi-regionmethod
4.12Symmetry
4.13Numericalevaluationandresults
4.13.1Ahomogeneousrectangularplate
4.13.2Alayeredrectangularplate
4.14Summary
References

Chapter5ApplicationoftheYue'sSolution-basedBEMtoCrackProblems
5.1Introduction
5.2Traction-singularelementanditsnumericalmethod
5.2.1General
5.2.2Traction-singularelement
5.2.3Thenumericalmethodoftraction-singularelements
5.3Computationofstressintensityfactors
5.4Numericalexamplesandresultsm97
5.5Summary
References

Chapter6AnalysisofPenny-shapedCracksinFunctionallyGraded
Materials
6.1Introduction
6.2AnalysismethodsforcrackproblemsinaFGMsystemofinfiniteextent
6.2.1ThecrackprobleminaFGM
6.2.2Themulti-regionmethodforcrackproblemsofinfiniteextent
6.2.3ThelayereddiscretizationtechniqueforFGMs
6.2.4Numericalverifications
6.3TheSIFsforacrackparalleltotheFGMinterlayer
6.3.1General
6.3.2Acracksubjectedtouniformcompressivestresses
6.3.3Acracksubjectedtouniformshearstresses
6.4ThegrowthofthecrackparalleltotheFGMinterlayer
6.4.1Thestrainenergydensityfactorofanellipticalcrack
6.4.2Crackgrowthunderaremotelyinclinedtensileloading
6.5TheSIFsforacrackperpendiculartotheFGMinterlayer
6.5.1General
6.5.2Numericalverifications
6.5.3TheSIFsforacracksubjectedtouniformcompressivestresses
6.5.4TheSIFsforacracksubjectedtouniformshearstresses
6.6ThegrowthofthecrackperpendiculartotheFGMinterlayer
6.6.1Thecrackgrowthunderaremotelyinclinedtensileloading
6.6.2Thecrackgrowthunderaremotelyinclinedcompressiveloading
6.7Summary
References

Chapter7AnalysisofEllipticalCracksinFunctionallyGradedMaterials
7.1Introduction
7.2TheSIFsforanellipticalcrackparalleltotheFGMinterlayer
7.2.1General
7.2.2Ellipticalcrackunderauniformcompressivestress
7.2.3Ellipticalcrackunderauniformshearstress
7.3ThegrowthofanellipticalcrackparalleltotheFGMinterlayer
7.4TheSIFsforanellipticalcrackperpendiculartotheFGMinterlayer
7.4.1General
7.4.2Ellipticalcrackunderauniformcompressivestress
7.4.3Ellipticalcrackunderauniformshearloading
7.5ThegrowthofanellipticalcrackperpendiculartotheFGMinterlayer
7.5.1Crackgrowthunderaremotelyinclinedtensileloading
7.5.2Crackgrowthunderaremotelyinclinedcompressiveloading
7.6Summary
References

Chapter8Yue'sSolution-basedDualBoundaryElementMethod
8.1Introduction
8.2Yue'ssolution-baseddualboundaryintegralequations
8.2.1Thedisplacementboundaryintegralequation
8.2.2Thetractionboundaryintegralequation
8.2.3Thedualboundaryintegralequationsforcrackproblems
8.3Numericalimplementation
8.3.lBoundarydiscretization
8.3.2Thediscretizedboundaryintegralequation
8.4Numericalintegrations
8.4.1NumericalintegrationsforthedisplacementBIE
8.4.2NumericalintegrationsforthetractionBIE
8.5LinearequationsystemsforthediscretizeddualBIEs
8.6Numericalverifications
8.6.1Calculationofstressintensityfactors
8.6.2TheeffectofdifferentmeshesandthecoefficientDontheSIFvalues
8.7Summary
Appendix4Finite-partintegralsandKutt'snumericalquadrature
A4.1Introduction
A4.2Kutt'snumericalquadrature
References

Chapter9AnalysisofRectangularCracksintheFGMs
9.1Introduction
9.2AsquarecrackinFGMsofinfiniteextent
9.2.1General
9.2.2AsquarecrackparalleltotheFGMinterlayer
9.2.3Asquarecrackhavinga45°anglewiththeFGMinterlaYer
9.2.4AsquarecrackperpendiculartotheFGMinterlayer
9.3AsquarecrackintheFGMinterlayer
9.4ArectangularcrackinFGMsofinfiniteextent
9.4.1General
9.4.2ArectangularcrackparalleltotheFGMinterlayer
9.4.3ArectangularcrackwithlongsidesperpendiculartotheFGMinterlayer
9.4.4ArectangularcrackwithshortsidesperpendiculartotheFGMinterlayer
9.5AsquarecrackinaFGMoffiniteextent
9.6Squarecracksinlayeredrocks
9.6.1General
9.6.2Thecrackdimensionsandtheparametersoflayeredrocks
9.6.3Asquarecracksubjectedtoauniformcompressiveload
9.6.4Asquarecracksubjectedtoanon-uniformcompressiveload
9.7Rectangularcracksinlayeredrocks
9.7.1General
9.7.2Arectangularcracksubjectedtoalinearcompressiveload
9.7.3Arectangularcracksubjectedtoanonlinearcompressiveload
9.8Summary
References

Chapter10Boundaryelementanalysisoffracturemechanicsintransverselyisotropicbi-materials
10.1Introduction
10.2Multi-regionBEManalysisofcracksintransverselyisotropicbi-materials
10.2.1General
10.2.2Calculationofthestressintensityfactors
10.2.3Apenny-shapedcrackperpendiculartotheinterfaceoftransverselyisotropicbi-materials
10.2.4Anellipticalcrackperpendiculartotheinterfaceoftransverselyisotropicbi-materials
10.3Dualboundaryelementanalysisofasquarecrackintransverselyisotropicbi-materials
10.3.1General
10.3.2Numericalverification
10.3.3Numericalresultsanddiscussions
10.4Summary
Appendix5Thefundamentalsolutionoftransverselyisotropicbi-materials
References