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- 2018
周期性复合材料等效传热系数预测的渐进均匀化新算法及其实现
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Abstract:
[1] | NAIT-ALI B, HABERKO K, VESTEGHEM H, et al. Thermal conductivity of highly porous zirconia[J]. Journal of the European Ceramic Society, 2006, 26(16):3567-3574. |
[2] | YANG X H, LU T J, KIM T. Effective thermal conductivity modelling for closed-cell porous media with analytical shape factors[J]. Transport in Porous Media, 2013, 100(2):211-224. |
[3] | YANG X H, BAI J X, YAN H B, et al. An analytical unit cell model for the effective thermal conductivity of high porosity open-cell metal foams[J]. Transport in Porous Media, 2014, 102(3):403-426. |
[4] | BRECHET Y, EMBURY J D. Architectured materials:Expanding materials space[J]. Scripta Materialia, 2013, 68(1):1-3. |
[5] | MOUMEN A E, KANIT T, LMAD A, et al. Computational thermal conductivity in porous materials using homogenization techniques:Numerical and statistical approaches[J]. Computational Materials Science, 2015, 97:148-158. |
[6] | XU L, CHENG G D, YI S. A new method of shear stiffness prediction of periodic Timoshenko beams[J]. Mechanics of Advanced Materials and Structures, 2016, 23(6):670-680. |
[7] | YI S, XU L, CHENG G D, et al. FEM formulation of homogenization method for effective properties of periodic heterogeneous beam and size effect of basic cell in thickness direction[J]. Computers & Structures, 2015, 156:1-11. |
[8] | ZHANG Y C, SHANG S P, LIU S T. A novel implementation algorithm of asymptotic homogenization for predicting effective coefficient of thermal expansion of periodic composite materials[J]. Acta Mechanica Sinica, 2017, 33(2):368-381. |
[9] | 刘书田, 程耿东. 基于均匀化理论的复合材料热膨胀系数预测方法[J]. 大连理工大学学报, 1995, 35(4):451-457. LIU S T, CHENG G D. Homogenization-based method for predicting thermal expansion coefficients of composite material[J]. Journal of Dalian University of Technology, 1995, 35(4):451-457(in Chinese). |
[10] | 程耿东, 刘书田. 单向纤维复合材料导热性预测[J]. 复合材料学报, 1996, 13(1):78-85. CHENG G D, LIU S T. Perdiction of thermal conductivity of unidirectional fiber reinforced composites[J]. Acta Materiae Compositae Sinica, 1996, 13(1):78-85(in Chinese). |
[11] | 张洪武. 周期性材料非经典热传导时空间多尺度分析方法[J]. 复合材料学报, 2004, 21(6):143-148. ZHANG H W. Nonclassical heat conduction analysis in periodic structures with multiple spatial and temporal scales analysis method[J]. Acta Materiae Compositae Sinica, 2004, 21(6):143-148(in Chinese). |
[12] | 宋士仓, 崔俊芝, 刘红生. 复合材料稳态热传导问题多尺度计算的一个数学模型[J]. 应用数学, 2005, 18(4):560-566. SONG S C, CUI J Z, LIU H S. A new model of multiscale computation for steady heat transfer equation of composite materials[J]. Mathematica Applicata, 2005, 18(4):560-566(in Chinese). |
[13] | 钟轶峰. 复合材料热传导性能的变分渐近均匀化细观力学模型[J]. 复合材料学报, 2015, 32(4):1173-1178. ZHONG Y F. Variational asymptotic homogenization micromechanics model for thermal conductivity of composites[J]. Acta Materiae Compositae Sinica, 2015, 32(4):1173-1178(in Chinese). |
[14] | ZHENG Y, FISH J. Toward realization of computational homogenization in practice[J]. International Journal for Numerical Methods in Engineering, 2008, 73(3):361-380. |
[15] | XU L, CHENG G D. Shear stiffness prediction of Reissner-Mindlin plates with periodic microstructures[J]. Mechanics of Advanced Materials and Structures, 2017, 24(4):271-286. |
[16] | PROGELHOF R, THRONE J, RUETSCH R. Methods for predicting the thermal conductivity of composite systems:A review[J]. Polymer Engineering & Science, 1976, 16(9):615-625. |
[17] | YAN P, JIANG C P, SONG F, et al. Estimation of transverse thermal conductivity of doubly periodic fiber reinforced composites[J]. Chinese Journal of Aeronautics, 2010, 23(1):54-60. |
[18] | FU X, VISKANTA R, GORE J. Prediction of effective thermal conductivity of cellular ceramics[J]. International Communications in Heat and Mass Transfer, 1998, 25(2):151-160. |
[19] | ZHU X, AI S, LU X, et al. Thermal conductivity of closed-cell aluminum foam based on the 3D geometrical reconstruction[J]. International Journal of Heat and Mass Transfer, 2014, 72:242-249. |
[20] | THIELE A M, KUMAR A, SANT G, et al. Effective thermal conductivity of three-component composites containing spherical capsules[J]. International Journal of Heat and Mass Transfer, 2014, 73:177-185. |
[21] | 刘书田, 程耿东. 球形空心材料导热性能预测研究[J]. 大连理工大学学报, 1994, 34(2):137-144. LIU S T, CHENG G D. Study of predicting thermal conductivity of spherical porous material[J]. Journal of Dalian University of Technology, 1994, 34(2):137-144(in Chinese). |
[22] | ASHBY M. Designing architectured materials[J]. Scripta Materialia, 2013, 68(1):4-7. |
[23] | GOU J J, DAI Y J, LI S, et al. Numerical study of effective thermal conductivities of plain woven composites by unit cells of different sizes[J]. International Journal of Heat and Mass Transfer, 2015, 91:829-840. |
[24] | FIEDLER T, ?CHSNER A. Influence of the morphology of joining on the heat transfer properties of periodic metal hollow sphere structures[J]. Materials Science Forum, 2007, 553:45-50. |
[25] | FIEDLER T, SOLíRZANO E, ?CHSNER A. Numerical and experimental analysis of the thermal conductivity of metallic hollow sphere structures[J]. Material Letters, 2008, 62(89):1204-1207. |
[26] | ANDRIANOV I V, STARUSHENKO G A, KALAMKAROV A L. Analytical expressions for effective thermal conductivity of composite materials with inclusions of square cross-section[J]. Composites Prat B:Engineering, 2013, 50:44-53. |
[27] | 梁军, 黄富华, 杜善义. 周期性单胞复合材料有效弹性性能的边界力方法[J]. 复合材料学报, 2010, 27(2):108-112. LIANG J, HUANG F H, DU S Y. Boundary force method to predict effective elastic properties of periodical unit cell composite material[J]. Acta Materiae Compositae Sinica, 2010, 27(2):108-112(in Chinese). |
[28] | 张锐, 文立华, 杨淋雅, 等. 复合材料热传导系数均匀化计算的实现方法[J]. 复合材料学报, 2014, 31(6):1581-1587. ZHANG R, WEN L H, YANG L Y, et al. Realization methods of computational homogenization for thermal conductivity coefficient of composites[J]. Acta Materiae Compositae Sinica, 2014, 31(6):1581-1587(in Chinese). |
[29] | CHENG G D, CAI Y W, XU L. Novel implementation of homogenization method to predict effective properties of periodic materials[J]. Acta Mechanica Sinica, 2013, 29(4):550-556. |
[30] | CAI Y W, XU L, CHENG G D. Novel numerical implementation of asymptotic homogenization method for periodic plate structures[J]. International Journal of Solids and Structures, 2014, 51(1):284-292. |