俸 翔, 马元春, 卢子兴. 复合材料夹层板屈曲强度的分散性分析 [J]. 复合材料学报, 2011, 28(1): 132-137. Feng Xiang, Ma Yuanchun, Lu Zixing. Analysis of the variation of buckling strengths for composite sandwich plates [J]. Acta Materiae Compositae Sinica, 2011, 28(1): 132-137.
[4]
Lin S C. Buckling failure analysis of random composite laminates subjected to random loads [J]. International Journal of Solids and Structures, 2000, 37(51): 7563-7576.
[5]
Singh B N, Yadav D, Iyengar N G R. Initial buckling of composite cylindrical panels with random material properties [J]. Composite Structures, 2001, 53(1): 55-64.
[6]
Singh B N, Lal A, Kumar R. Post buckling response of laminated composite plate on elastic foundation with random system properties [J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(1): 284-300.
[7]
Lal A, Singh B N, Kumar R. Effects of random system properties on the thermal buckling analysis of laminated composite plates [J]. Computers & Structures, 2009, 87(17): 1119-1128.
[8]
Feraboli P, Cleveland T, Stickler P. Stochastic laminate analogy for simulating the variability in modulus of discontinuous composite materials [J]. Composites Part A, 2010, 41(4): 557-570.
[9]
闫澍旺, 朱红霞, 刘 润. 关于随机场理论在土木可靠性计算中应用的研究 [J]. 岩土工程学报, 2006, 28(12): 2053-2059. Yan Shuwang, Zhu Hongxia, Liu Run. Application analysis of the random field theory on civil reliability calculation [J]. Chinese Journal of Geotechnical Engineering, 2006, 28(12): 2053-2059.
[10]
刘 润, 闫澍旺, 王金英. 随机场理论在海洋结构物地基可靠度分析中的应用 [J]. 天津大学学报, 2003, 36(1): 63-67. Liu Run, Yan Shuwang, Wang Jinying. Application of random field theory on the foundation reliability analysis of marine structures [J]. Journal of Tianjin University, 2003, 36(1): 63-67.
[11]
Akkaya A D, Yucemen M S. Stochastic modeling of earthquake occurrences and estimation of seismic hazard: A random field approach [J]. Probabilistic Engineering Mechanics. 2002, 17(1): 1-13.
[12]
Dong X N, Luo Q, Sparkman D M. Random field assessment of nanoscopic inhomogeneity of bone [J]. Bone, 2010, 47(6): 1080-1084.
[13]
Xi Z, Youn B D. An effective random field characterization for probability analysis and design / / Design Engineering Division and Computers in Engineering Division. ASME Conference Proceedings. New York: ASME, 2008: 1-14.
[14]
Basuchar A, Missoum S.A sampling-based approach for probabilistic design with random fields [J]. Computer Methods in Applied Mechanics and Engineering, 2009, 198(47): 3647-3655.
[15]
Sadovski Z, Soares C, Teixeira A P. Random field of initial deflections and strength of thin rectangular plates [J]. Reliability Engineering & System Safety, 2007, 92(12): 1659-1670.
[16]
Broggi M, Schueller G I. Efficient modeling of imperfections for buckling analysis of composite cylindrical shells [J]. Engineering Structures, 2011, 33: 1196-1806.
[17]
Papadopoulos V, Papadrakakis M. The effect of material and thickness variability on the buckling load of shells with random initial imperfections [J]. Computer Methods in Applied Mechanics and Engineering, 2005, 194(12): 1405-1426.
[18]
Charmpis D C, Schueller G I, Pellissetti M F. The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science [J]. Computational Materials Science, 2007, 41(1): 27-37.
[19]
Singh G, Grandhi R V. Propagation of structural random field uncertainty using improved dimension reduction method / / American Institute of Aeronautics and Astronautics. AIAA Proceedings. New York: AIAA, 2009.
[20]
俸 翔, 卢子兴. 基于随机场的复合材料单层板模量分散性研究[J]. 机械强度, 2010, 32(4): 622-626. Feng Xiang, Lu Zixing. Studies on the modules discrepancy of single-layer composite plate based on random field theory [J]. Journal of Mechanical Strength, 2010, 32(4): 622-626.
[21]
陈 虬, 刘先斌. 随机有限元法及其工程应用 [M]. 成都: 西南交通大学出版社, 1993: 145-157. Chen Qiu, Liu Xianbin. Stochastic finite element method and its engineering application [M]. Chengdu: Southwest Jiaotong University Press, 1993: 145-157.
[22]
安利强, 王璋奇, 彭震中. 二维随机场离散的局部平均法 [J]. 华北电力大学学报, 2004, 31(3): 108-111. An Liqiang, Wang Zhangqi, Peng Zhengzhong. Local average method of discreting two dimensional random field [J]. Journal of North China Electric Power University, 2004, 31(3): 108-111.
[23]
Beacher G B, Ingra T S. Stochastic FEM in settlement predictions [J]. Journal of Geotechnical Engineering Division, 1981, 107(4): 449-463.
[24]
李顺林. 复合材料力学引论 [M]. 上海: 上海交通大学出版社, 1986: 162-166. Li Shunlin. Introduction of composite mechanics [M]. Shanghai: Shanghai Jiao Tong University Press, 1986: 162-166.
[25]
俸 翔. 不确定参数下复合材料力学行为研究 . 北京: 北京航空航天大学, 2011: 50-65. Feng Xiang. Study on the mechanical behavior of composite materials with uncertain parameters . Beijing: Beihang University, 2011: 50-65.
[26]
Baxter S C, Hossain M I, Graham L L. Micromechanics based random material property fields for particulate reinforced composites [J]. International Journal of Solids and Structures, 2001, 38(50): 9209-9220.
[27]
Graham L L, Gurley K, Masters F. Non-Gaussian simulation of local material properties based on a moving-window technique [J]. Probabilistic Engineering Mechanics, 2003, 18(3): 223-234