復(fù)合材料具有優(yōu)異的力學(xué)性能,而且能根據(jù)實(shí)際需要設(shè)計(jì)和制造,被廣泛應(yīng)用于航空航天、國防事業(yè)、土木工程、醫(yī)學(xué)仿生等各個(gè)領(lǐng)域。復(fù)合材料是由基質(zhì)相、增強(qiáng)相和過渡層組成的多相材料。在生產(chǎn)過程中,由于復(fù)雜的工藝,在基質(zhì)相和增強(qiáng)相之間會(huì)形成一層微觀結(jié)構(gòu)和物理特性明顯不同于基質(zhì)相和增強(qiáng)相的過渡層。過渡層的主要功能是傳遞載荷,對復(fù)合材料的力學(xué)性能有著顯著的影響。因此研究過渡層的性質(zhì)能夠更清楚的了解復(fù)合材料的性能影響因素,進(jìn)而建立復(fù)合材料的宏觀性能同其組份材料性能及微觀結(jié)構(gòu)之間的關(guān)系,揭示復(fù)合材料在一定工況下的響應(yīng)規(guī)律及其本質(zhì),為復(fù)合材料的優(yōu)化設(shè)計(jì)、性能評價(jià)提供必要的理論依據(jù)和手段。過渡層的微觀結(jié)構(gòu)復(fù)雜,厚度小而且不容易精確測量,如果將過渡層作為有厚度的中間相相來處理,增加了理論分析和數(shù)值計(jì)算工作量甚至可能難以實(shí)現(xiàn)。針對飽和多孔復(fù)合材料,本論文建立了一種零厚度一般不完美界面模型等效替代過渡層。本論文的第一部分的主要內(nèi)容是:以飽和多孔線彈性復(fù)合材料為研究對象,介紹了該材料在恒溫條件下的本構(gòu)關(guān)系。引入Hadamard’s關(guān)系和正交投影張量算子。在此基礎(chǔ)上,借鑒Gu和He使用的方法,在幾何上用零厚度的界面來替代...

【文章頁數(shù)】：74 頁

【學(xué)位級別】：碩士

【文章目錄】：
摘要
Abstract
Chapter 1 Introduction
    1.1 The background and significance
    1.2 Process of the interface research
    1.3 The development of the extended finite element
    1.4 The works of this thesis
Chapter 2 Theoretical modeling of the general imperfect interface
    2.1 The basic control equations
    2.2 Surface differential operator
    2.3 Hadamard’s relation
    2.4 The general constitutive relation
    2.5 Interfacial operators
    2.6 The relations for perfect interfaces and imperfect interfaces
    2.7 Jumps across the imperfect interface in the two-phase configuration
    2.8 The four kinds of extreme cases
        2.8.1 case 1
        2.8.2 case 2
        2.8.3 case 3
        2.8.4 case 4
    2.9 Summary
Chapter 3 Discretization of general imperfect interface
    3.1 The simplified discontinuity of the generally imperfect interface
    3.2 The strong and weak formulations for the boundary value problem of a partic-ulate composite
    3.3 XFEM discretization
        3.3.1 The level set function and enriched shape functions
        3.3.2 The result of discretization
    3.4 Summary
Chapter 4 Numerical implementation
    4.1 The shape function and strain matrix of tetrahedron
    4.2 The element types
    4.3 Numerical integration
    4.4 Summary
Chapter 5 Analytical solution and numerical solution to the boundary value problems involving a spherical general imperfect interface
    5.1 Analytical solution to the boundary value problems
    5.2 The extreme cases the analytical solution
        5.2.1 case 1
        5.2.2 case 2
    5.3 Numerical result analysis
    5.4 Summary
Conclusion
致謝
Bibliography
攻讀碩士學(xué)位期間發(fā)表的論文及科研成果



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