周国荣,温卫中,王洪涛,王慧

• 1:太原科技大学化学与生物工程学院
• 2:太原科技大学化学与生物工程学院
• 3:太原科技大学化学与生物工程学院
• 4:太原科技大学化学与生物工程学院 太原030021

摘要(Abstract)：

梯度材料的广泛应用促进了梯度材料力学的深入发展。由于梯度材料在空间上渐变的特征,使得相应的力学行为与常规材料有较大的不同。文章分别就梯度材料力学中的细观模型、裂纹行为、热应力和数值计算方法等几个方面进行了阐述,回顾了近二十年来梯度材料力学所取得的研究成果和应用进展。最后探讨了梯度材料力学所面临的新课题及发展方向。

关键词(KeyWords)： 梯度材料;细观力学;断裂;热应力;数值方法

Abstract:

Keywords:

基金项目(Foundation):

作者(Author): 周国荣,温卫中,王洪涛,王慧

参考文献(References)：

• [1]KAWASAKI A,WATANBE R,YUKI M,et al.Effect of microstructure on thermal shock cracking of functional graded thermalbarrier coating studied by burner heating test[J].Material transaction JIM.1996,37(4):788-795.
• [2]NIINO M.Fabrication of a high pressure thrust chamber by the CIP forming method[J].AIAA Paper,1984,84-1227.
• [3]SURESHS.MORTENSEN A.功能梯度材料基础——制备及热机械行为[M].北京:国防工业出版社,2000.
• [4]国家自然科学基金委员会编.自然科学学科发展战略研究报告:无机非金属材料[M].北京:科学出版社,1997.121-125.
• [5]ZUIKEER J R.Functionally graded materials:choice of micromechanics model and limitations in property variation[J].Com-posites engineering,1995,5(7):807-819.
• [6]KERNER EH.The elastic and thermo-elastic properties of composite media[J].Proceedings of the physical society.Section B,1956,69:808-813.
• [7]MORI T,TANAKAK.Average stress in matrix and average elastic energy of materials with misfitting inclusions[J].Acta Met-all,1973,21:571-574.
• [8]NAN CW,YUAN R Z,ZHANG L M.The physics of metal/ceramic functionally gradient materials[J].In Ceramic transac-tion:Functionally gradient materials.The American Ceramic Society,Westerville,OH,1993,34:57-74.
• [9]WAKASHIMA K,TSUKAMOTO H.Micromechanical approach to the thermomechanics of ceramic-metal gradient materials[A].Proceedings of the first international symposium on functionally gradient materials[C],Sendai,Japan,1990,19-26.
• [10]HILL R.A self-consistent mechanics of composite materials[J].Journal of the mechanics and physics of solids,1965,13:213-222.
• [11]HASHIN Z,SHRIKMAN S.A variational approach to the theory of the elastic behavior of multiphase materials[J].Journal ofthe mechanics and physics of solids,1963,11:127-140.
• [12]CHRISTENSEN R M.Mechanics of composite materials[M].New York.John Wiley,1991.
• [13]THANGITHAM S,CHOI HJ.Thermal stress in a multilayered anisotropic medium[J].ASME Journal of applied mechanics,1991,58:1021-1027.
• [14]TANIGAWA Y,MATSUMOTO M,AKATT.Optimization problem of material composition for nonhomogeneous plate to mini-mize thermal stresses when subjected to unsteady heat supply[J].Transaction of the Japan society of mechanical engineers(Series A),1996,62:115-122.
• [15]ABOUDI J,ARNOLD S M,PINDERA M J.Response of functionally graded composites to thermal gradients[J].Compositesengineering,1994,4:4-18.
• [16]MAKINO T,YAMAMOTO M.The rules of mixture on physical properties of composite materials with network structure[J],Tsetu to Kou,1996,82(1):81-86.
• [17]PETTERMANN H E,WEISSENBER E,SURESH S.Simulation of the elasto-plastic deformations in compositionally gradedmetal/ceramic structures:mean-fields and unit cell approach[J].Functionally graded materials,Elsevier,Amsterdam,1997.1996:75-80.
• [18]REITER T,DVORAK G J,TVERGAAR D V.Micromechanical models for graded composite materials[J].Journal of the me-chanics and physics of solids,1997,45(8):1281-1302.
• [19]JIN Z H,NODA N.Crack-tip singular fields in functionally gradient materials[J].ASME journal of applied mechanics,1994,61(3):738-740.
• [20]SCHOVANEC L,WALTON J R.On the order of stress singularity for an antiplane shear crack at the interface of two bondedinhomogeneous elastic materials[J].ASME journal of applied mechanics,1988,55:234-236.
• [21]JIN Z H,NODA N.An internal crack parallel to the boundary of a nonhomogeneous half plane under thermal loading[J].In-ternational journal of engineering science,1993,31:793-806.
• [22]JIN Z H,NODA N.Transient thermal stress intensity factors for a crack in a semi-infinite plate of a functionally gradient mate-rial[J].International journal of solids and structures,1994,31:203-218.
• [23]JINZ H,NODAN.Minimization of thermal stress intensity factor for a crack in a metal-ceramic mixture[J].Ceramic transac-tions,Functionally gradient materials,American ceramic society,1993,34:47-54.
• [24]NEMAT-ALLA M,NODA N.Study of an edgy crack problem in a semi-iinfinite functionally graded medium with two dimension-ally nonhomogeneous coefficients of thermal expansion under thermal load[J].Journal of thermal stresses,1996,19:863-888.
• [25]GUP,ASARO R J.Cracks in functionally graded materials[J].International journal of solids and structures,1997,34(1):1-17.
• [26]BAO G,WANG L.Multiple cracking in functionally graded ceramic/metal coating[J].International journal of solids andstructures 1995,32(19):2853-2871.
• [27]BABAEI R,LUKASIEWICZ S A.Frictional contact problem of crack in FGMs under mechanical and time-dependent thermalstress[J].Journal of thermal stresses,1997,20:439-461.
• [28]JIN Z H,BATRA R C.Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to athermal shock[J].Journal of thermal stress,1996,19:317-339.
• [29]王保林,杜善义,韩杰才.非均匀复合材料翻平面裂纹的动态断裂力学研究[J].复合材料,1998,15(4):119-127.
• [30]OZTURK M,ERDOGANF.Mode I crack problem in an inhomogeneous orthotropic medium[J].International journal of engi-neering science,1997,35(9):869-883.
• [31]李春雨.功能梯度材料静动态断裂力学研究[D].哈尔滨:哈尔滨工业大学,1999.
• [32]储双杰,李烈风.梯度功能材料物性值推定与热应力分析[J].材料工程,1993,17(3):58-61.
• [33]冉均国,杨云志,郑昌琼.梯度薄膜材料设计原则[J].材料研究学报,1999,18(2):46-50.
• [34]川崎亮,渡边龙三.倾斜组成制御した多层中间层をもつ金属/セラミにクス接合体における热应力の有限要素解析[J].日本金属学会志,1997,51(6):525-559.
• [35]DRAKE J T,WILLAMSONR L,Rabin B H.Finite element analysis of thermal residual stresses at graded ceramic-metal in-terface Part II-Interface optimization for residual stress reduction[J].Journal of applied physics.1993,74:1321-1326.
• [36]RAVICHANDRAN K S.Thermal residual stresses in a functionally gradient system[J].Materials science and engineering,1995,A201:269-276.
• [37]WHITNEYJ M,PAGANO N J.Shear deformation in heterogeneous anisotropic plates[J].ASME journal of applied mechan-ics,1970,37(4):1031-1036.
• [38]GU P,DAO M,ASRAO R J.A simplified method for calculating the crack tip field of functionally graded materials using thedomain integral[J].ASME journal of applied mechanics,1999,66:101-108.
• [39]CHEN J,WUL Z,DUS Y.A modified J integral for functionally graded materials[J].Mechanics research communications,2000,27(3):301-306.
• [40]SEIDE P.An improved approximate theory for the bending of laminated plates[M].In:S Nemat-Nasser ed.Mechanics Todayvol 5,Oxford,UK:Pergamon Press,1980,451-466.
• [41]ABOUDI J,PINDERA MJ,ARNOLD S M.Higher-Order Theory for Functionally Graded Materials[J].Composites,Part B:Engineering,1999,30:777-832.
• [42]GOLDBERG R K,HOPKINS D A.Thermal Analysis of a Functionally Graded Material Subject to a Thermal Gradient Usingthe Boundary Element Method[J].Computer methods in applied mechanics and engineering,1995,5(7):793-806.