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层状和梯度材料断裂力学的边界元法和应用（英文版）

层状和梯度材料断裂力学的边界元法和应用（英文版）
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作者: 著 , 著
出版社: 高等教育出版社
2014-01
版次: 1
ISBN: 9787040292800
定价: 89.00
装帧: 精装
开本: 16开
纸张: 胶版纸
页数: 307页
正文语种: 简体中文
分类: 自然科学
5人买过
  • 　　《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。 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
  • 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
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