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Fracture Mechanics of Nonhomogeneous Materials
  • 书号：9787030700711
    作者：果立成,于红军,吴林志
  • 外文书名：
  • 装帧：平脊精装
    开本：B5
  • 页数：342
    字数：无
    语种：en
  • 出版社：科学出版社
    出版时间：2022-10-01
  • 所属分类：
  • 定价： ￥179.00元
    售价： ￥141.41元
  • 图书介质:
    纸质书

  • 购买数量： 件  可供
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本书包含了作者近20年在非均匀材料断裂力学领域的重要研究成果。这些工作主要针对国际非均匀材料断裂力学领域理论模型的不足以及复杂界面条件下断裂力学领域能量积分理论的理论空白开展了系统、深入的研究，从基础理论到仿真方法提出了有特色的研究思想。具体工作包括：非均匀材料的断裂力学基本理论、非均匀材料的传统特殊指数型模型、具有一般属性的非均匀材料断裂力学模型、含复杂界面非均匀材料的区域无关积分方法、考虑界面残余应力的一般性区域无关积分模型等内容。这些工作，克服了一般属性非均匀材料（梯度材料）的断裂力学难题，澄清了近30年来人们对传统指数模型的质疑，拓展并完善了非均质材料断裂力学的理论体系。相关工作得到了国际权威学术期刊和相关领域权威专家的好评。
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目录

  • 目录
    Contents
    Preface
    Chapter 1　Fundamental theory of fracture mechanics of nonhomogeneous
    materials　1
    1.1　Internal crack　2
    1.1.1　Basic equations for nonhomogeneous materials　2
    1.1.2　Crack-tip fields for homogeneous materials　3
    1.1.3　Crack-tip fields for nonhomogeneous materials　6
    1.1.4　Crack-tip fields for nonhomogeneous orthotropic materials　12
    1.2　Interface crack　14
    1.2.1　Crack-tip fields of an interface crack　14
    1.2.2　Crack-tip fields of an interface crack between two nonhomogeneous media　19
    1.3　Three-dimensional curved crack　23
    1.3.1　Internal crack　23
    1.3.2　Interface crack　25
    References　26
    Chapter 2　Exponential models for crack problems in nonhomogeneous materials　28
    2.1　Crack model for nonhomogeneous materials with an arbitrarily oriented crack　29
    2.1.1　Basic equations and boundary conditions　29
    2.1.2　Full field solution for a crack in the nonhomogeneous medium　31
    2.1.3　Stress intensity factors (SIFs) and strain energy release rate (SERR)　36
    2.2　Crack problems in nonhomogeneous coating-substrate or double-layered structures　38
    2.2.1　Interface crack in nonhomogeneous coating-substrate structures　38
    2.2.2　Cross -interface crack parallel to the gradient of material properties　45
    2.2.3　Arbitrarily oriented crack in a double-layered structure　54
    2.3　Crack problems in orthotropic nonhomogeneous materials　69
    2.3.1　Basic equations and boundary conditions　69
    2.3.2　Solutions to stress and displacement fields　71
    2.3.3　Crack-tip SIFs　77
    2.4　Transient crack problem of a coating-substrate structure　78
    2.4.1　Basic equations and boundary conditions　78
    2.4.2　Solutions to stress and displacement fields　79
    2.4.3　Crack-tip SIFs　84
    2.5　Representative examples　85
    2.5.1　Example 1: Arbitrarily oriented crack in an infinite nonhomogeneous medium　85
    2.5.2　Example 2: Interface crack between the coating and the substrate　88
    2.5.3　Example 3: Crossing-interface crack perpendicular to the interface in a double-layered structure　89
    2.5.4　Example 4: Inclined crack crossing the interface　94
    2.5.5　Example 5: Vertical crack in a nonhomogeneous coating-substrate structure subjected to impact loading　96
    Appendix 2A　98
    References　99
    Chapter 3　General model for nonhomogeneous materials with general elastic properties　101
    3.1　Piecewise-exponential model for the mode I crack problem　102
    3.1.1　Piecewise-exponential model (PE model)　102
    3.1.2　Solutions to stress and displacement fields　105
    3.1.3　Crack-tip SIFs　111
    3.2　PE model for mixed-mode crack problem　112
    3.2.1　Basic equations and boundary conditions　112
    3.2.2　Solutions to stress and displacement fields　114
    3.2.3　Crack-tip SIFs　119
    3.3　PE model for dynamic crack problem　119
    3.3.1　Basic equations and boundary conditions　119
    3.3.2　Solutions to stress and displacement fields　123
    3.3.3　Crack-tip SIFs　126
    3.4　Representative examples　127
    3.4.1　Example 1: Mode I crack problem for nonhomogeneous materials with general elastic properties　127
    3.4.2　Example 2: Mixed-mode crack problem for nonhomogeneous materials with general elastic properties and an arbitrarily oriented crack　134
    3.4.3　Example 3: Dynamic Mode I crack problem for nonhomogeneous materials with general elastic properties　139
    Appendix 3A　145
    References　151
    Chapter 4　Fracture mechanics of nonhomogeneous materials based on piecewise-exponential model　153
    4.1　Thermomechanical crack models of nonhomogeneous materials　154
    4.1.1　Crack model for nonhomogeneous materials under steady thermal loads　154
    4.1.2　Crack model for nonhomogeneous materials under thermal shock load　157
    4.2　Viscoelastic crack model of nonhomogeneous materials　170
    4.2.1　The correspondence principle for viscoelastic FGMs　170
    4.2.2　Viscoelastic models for nonhomogeneous materials　173
    4.2.3　PE model for the viscoelastic nonhomogeneous materials　174
    4.3　Crack model for nonhomogeneous materials with stochastic properties　177
    4.3.1　Stochastic micromechanics-based model for effective properties　177
    4.3.2　Probabilistic characteristics of effective properties at transition region　182
    4.3.3　Crack in nonhomogeneous materials with stochastic mechanical properties　183
    4.4　Examples　188
    4.4.1　Example 1: Steady thermomechanical crack problem　188
    4.4.2　Example 2: Viscoelastic crack problem　195
    4.4.3　Example 3: Crack problem in FGMs with stochastic mechanical properties　198
    References　202
    Chapter 5　Fracture of nonhomogeneous materials with complex interfaces　205
    5.1　Interaction integral (I-integral)　207
    5.1.1　J-integral　207
    5.1.2　I-integral　208
    5.1.3　Auxiliary field　208
    5.1.4　Extraction of the SIFs　210
    5.2　Domain-independent I-integral (DII-integral)　211
    5.2.1　Domain form of the I-integral　211
    5.2.2　DII-integral　214
    5.3　DII-integral for orthotropic materials　220
    5.4　Consideration of dynamic process　223
    5.5　Calculation of the T-stress　225
    5.6　DII-integral for 3D problems　229
    5.6.1　I-integral　229
    5.6.2　Auxiliary fields　230
    5.6.3　Extraction of the SIFs　232
    5.6.4　Domain form of the I-integral　233
    5.6.5　DII-integral　236
    5.7　Typical fracture problems　241
    5.7.1　Stress intensity factor evaluations　241
    5.7.2　T-stress evaluations　243
    5.7.3　Stress intensity factors of a penny-shaped crack　246
    5.7.4　Influences of the material continuity on the SIFs　251
    References　256
    Chapter 6　Interfacial fracture of nonhomogeneous materials with complex interfaces　258
    6.1　I-integral for an interface crack　259
    6.1.1　J-integral and I-integral　259
    6.1.2　Auxiliary field　260
    6.1.3　Relation between the I-integral and the SIFs　262
    6.2　Domain-independent I-integral (DII-integral)　263
    6.2.1　DII-integral for materials with continuous properties　263
    6.2.2　DII-integral for materials with complex interfaces　265
    6.2.3　DII-integral for a curved interface crack　268
    6.2.4　Consideration of dynamic fracture process　269
    6.3　T-stress evaluation　270
    6.3.1　Auxiliary field　270
    6.3.2　Extraction of the T-stress　272
    6.4　DII-integral for 3D interface cracks　272
    6.4.1　Definition of the I-integral on the crack front　272
    6.4.2　Auxiliary fields for 3D interface crack　273
    6.4.3　Extraction of the SIFs　274
    6.4.4　Domain form of the I-integral　275
    6.4.5　DII-integral　277
    6.5　Representative interfacial fracture problems　279
    6.5.1　Straight interface crack　279
    6.5.2　A circular-arc shaped interface crack　284
    6.5.3　T-stress evaluation of biomaterial strips　287
    References　292
    Chapter 7　Thermal fracture of nonhomogeneous materials with complex interfaces　294
    7.1　Internal crack under thermal loading　295
    7.1.1　Basic equations of thermoelasticity　295
    7.1.2　I-integral for thermoelasticity　296
    7.1.3　Auxiliary field　297
    7.1.4　Extraction of the SIFs for thermoelastic media　297
    7.1.5　Domain form of the I-integral　298
    7.2　Interface crack under thermal loading　303
    7.2.1　Definition of the I-integral　303
    7.2.2　Auxiliary field　305
    7.2.3　Extraction of thermal SIFs　305
    7.2.4　I-integral for a thermoelastic solid with complex interfaces　306
    7.3　T-stress evaluation for nonhomogeneous thermoelasticity　308
    7.3.1　Auxiliary field　308
    7.3.2　Extraction of T-stress　309
    7.4　Generalized DII-integral for elasticity　311
    7.4.1　Requirements for the establishment of the DII-integral　311
    7.4.2　Design of the generalized auxiliary fields　315
    7.4.3　Generalized DII-integral　322
    7.5　A new DII-integral for thermoelasticity　324
    7.5.1　DII-integral for an internal crack　324
    7.5.2　DII-integral for an interface crack　327
    7.6　Typical thermal fracture problems　334
    7.6.1　Internal crack under thermal loading　334
    7.6.2　Particulate plate with an internal crack　336
    7.6.3　Multi-interface plate with an interface crack　339
    References　341
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