基于估计理论的复合材料层合板可靠性分析（英文）
|
摘要
复合层压板由复合单层序列组成。同一层通常具有相同的纤维和树脂,其纤维取向上的差异将直接导致各种层合物强度的不同。本文利用Tsai-Hill失效准则作为分析复合材料层合结构可靠性的极限状态函数和估算理论来估计有效应力的统计参数,构建概率盒。最后,使用蒙特卡罗模拟和FERUM软件来计算失效概率的上限和下限。
Composite laminates are made up of composite single-plies sequence. The plies generally have the same fiber and resin and their difference in fiber orientation results in a difference in various laminates' strength. Tsai-Hill failure criterion as a limiting state function to analyze structural reliability of a composite laminate and estimation theory in order to estimate statistical parameters of effective stress were utilized to construct probability box. Finally,we used the Monte Carlo simulation and FERUM software to calculate the upper and lower bounds of probability of failure.
Composite laminates are made up of composite single-plies sequence. The plies generally have the same fiber and resin and their difference in fiber orientation results in a difference in various laminates' strength. Tsai-Hill failure criterion as a limiting state function to analyze structural reliability of a composite laminate and estimation theory in order to estimate statistical parameters of effective stress were utilized to construct probability box. Finally,we used the Monte Carlo simulation and FERUM software to calculate the upper and lower bounds of probability of failure.
引文
[1]YANG L.Reliability of composite laminates[J].Mechanics of Structures and Machines,1988,16(4):523-536.
[2]YANG L,MA Z.A method of reliability analysis and enumeration of significant failure modes for a composite structural system[J].Computers&Structures,1989,33(2):337-344.
[3]CEDERBAUM G,ELISHAKOFF I,LIBRESCU L.Reliability of laminated plates via the first-order secondmoment method[J].Composite Structures,1990,15(2):161-167.
[4]HASOFER A M,LIND N C.Exact and invariant second-moment code format(for reliability analysis in multivariate problems)[J].American Society of Civil Engineers,Engineering Mechanics Division,Journal,1974,100:111-121.
[5]WETHERHOLD R C,UCCI A M.Probability methods for the fracture of composite materials[J].Composite Structures,1994,28(1):113-119.
[6]SOARES C G.Reliability of components in composite materials[J].Reliability Engineering&System Safety,1997,55(2):171-177.
[7]DI SCIUVA M,LOMARIO D.A comparison between Monte Carlo and FORMs in calculating the reliability of a composite structure[J].Composite Structures,2003,59(1):155-162.
[8]ANTóNIO C C.A hierarchical genetic algorithm for reliability based design of geometrically non-linear composite structures[J].Composite Structures,2001,54(1):37-47.
[9]NGAH M,YOUNG A.Application of the spectral stochastic finite element method for performance prediction of composite structures[J].Composite Structures,2007,78(3):447-456.
[10]CARBILLET S,RICHARD F.Reliability indicator for layered composites with strongly non-linear behaviour[J].Composites Science and Technology,2009,69(1):81-87.
[11]NOH H C.Stochastic finite element analysis of composite plates considering spatial randomness of material properties and their correlations[J].Steel Compos Struct,2011,11(2):115-130.
[12]WANG F S,ZHANG J R,WANG P Y,HUO S H,YUE Z F.Reliability analysis of laminated composite under compression and shear loads[J].Journal of Central South University,2012,19(10):2712-2717.
[13]LOPEZ R,MIGUEL L,BELO I,CURSI J S.Advantages of employing a full characterization method over form in the reliability analysis of laminated composite plates[J].Composite Structures,2014,107:635-642.
[14]PATEL S,AHMAD S,MAHAJAN P.Reliability analysis of a composite plate under low-velocity impact using the gaussian response surface method[J].International Journal for Computational Methods in Engineering Science and Mechanics,2014,15(3):218-226.
[15]HAERI A,FADAEE M J.Efficient reliability analysis of laminated composites using advanced Kriging surrogate model[J].Composite Structures,2016,149(1):26-32.
[16]OFTADEH S,POURGOL-MOHAMMAD M,YAZDANI M.Probabilistic assessment of composite plate failure behavior under specific mechanical stresses[C]//Proceedings of PSAM12 Conference.Honolulu,USA;2014.
[17]JONES R M.Mechanics of composite materials[M].Scripta,Washington,DC:Book Company,1975.
[18]MODARRES M,KAMINSKIY M,KRIVTSOV V.Reliability engineering and risk analysis:A practical guide[M].Marcel Dekker,Inc,1999.
[19]SANTHOSH U,AHMAD J.An approach for nonlinear modeling of polymer matrix composites[J].Journal of Composite Materials,2013:0021998313490581
[2]YANG L,MA Z.A method of reliability analysis and enumeration of significant failure modes for a composite structural system[J].Computers&Structures,1989,33(2):337-344.
[3]CEDERBAUM G,ELISHAKOFF I,LIBRESCU L.Reliability of laminated plates via the first-order secondmoment method[J].Composite Structures,1990,15(2):161-167.
[4]HASOFER A M,LIND N C.Exact and invariant second-moment code format(for reliability analysis in multivariate problems)[J].American Society of Civil Engineers,Engineering Mechanics Division,Journal,1974,100:111-121.
[5]WETHERHOLD R C,UCCI A M.Probability methods for the fracture of composite materials[J].Composite Structures,1994,28(1):113-119.
[6]SOARES C G.Reliability of components in composite materials[J].Reliability Engineering&System Safety,1997,55(2):171-177.
[7]DI SCIUVA M,LOMARIO D.A comparison between Monte Carlo and FORMs in calculating the reliability of a composite structure[J].Composite Structures,2003,59(1):155-162.
[8]ANTóNIO C C.A hierarchical genetic algorithm for reliability based design of geometrically non-linear composite structures[J].Composite Structures,2001,54(1):37-47.
[9]NGAH M,YOUNG A.Application of the spectral stochastic finite element method for performance prediction of composite structures[J].Composite Structures,2007,78(3):447-456.
[10]CARBILLET S,RICHARD F.Reliability indicator for layered composites with strongly non-linear behaviour[J].Composites Science and Technology,2009,69(1):81-87.
[11]NOH H C.Stochastic finite element analysis of composite plates considering spatial randomness of material properties and their correlations[J].Steel Compos Struct,2011,11(2):115-130.
[12]WANG F S,ZHANG J R,WANG P Y,HUO S H,YUE Z F.Reliability analysis of laminated composite under compression and shear loads[J].Journal of Central South University,2012,19(10):2712-2717.
[13]LOPEZ R,MIGUEL L,BELO I,CURSI J S.Advantages of employing a full characterization method over form in the reliability analysis of laminated composite plates[J].Composite Structures,2014,107:635-642.
[14]PATEL S,AHMAD S,MAHAJAN P.Reliability analysis of a composite plate under low-velocity impact using the gaussian response surface method[J].International Journal for Computational Methods in Engineering Science and Mechanics,2014,15(3):218-226.
[15]HAERI A,FADAEE M J.Efficient reliability analysis of laminated composites using advanced Kriging surrogate model[J].Composite Structures,2016,149(1):26-32.
[16]OFTADEH S,POURGOL-MOHAMMAD M,YAZDANI M.Probabilistic assessment of composite plate failure behavior under specific mechanical stresses[C]//Proceedings of PSAM12 Conference.Honolulu,USA;2014.
[17]JONES R M.Mechanics of composite materials[M].Scripta,Washington,DC:Book Company,1975.
[18]MODARRES M,KAMINSKIY M,KRIVTSOV V.Reliability engineering and risk analysis:A practical guide[M].Marcel Dekker,Inc,1999.
[19]SANTHOSH U,AHMAD J.An approach for nonlinear modeling of polymer matrix composites[J].Journal of Composite Materials,2013:0021998313490581